Professor Michael Cowling

Emeritus Professor

BSc from Australian National University, 1970
Ph D from Flinders University, 1974

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Science

School of Mathematics & Statistics

I have held positions in universities in Canada. the United States of America, and Italy. I was Professor of Pure Mathematics at ��Ʊ from 1983 to 2020, and am now Emeritus Professor at ��Ʊ.��

Phone

+61-2-9385 9920

E-mail

m.cowling@unsw.edu.au

Location

School of Mathematics and Statistics Room 5113 The Red Centre ��Ʊ NSW 2052

Books | 2001

Cherix P-A; Cowling M; Jolissaint P; Julg P; Valette A, 2001, Groups with the Haagerup Property, Springer Basel,
Book Chapters | 2025

Cowling MG; Fan Z; Li J; Yan L, 2025, 'Characterizations of Product Hardy Spaces on Stratified Groups by Singular Integrals and Maximal Functions', in Applied and Numerical Harmonic Analysis, pp. 193 - 227,

Book Chapters | 2013

Cowling MG; Martini A, 2013, 'Sub-Finsler geometry and finite propagation speed', in Picardello MA (ed.), Trends in Harmonic Analysis, Springer, pp. 147 - 206,

Book Chapters | 2012

Cowling MG, 2012, 'Isomorphisms of the Figa-Talamanca-Herz algebras Ap(G) for connected Lie groups G', in Zannier U (ed.), Colloquium De Giorgi 2009, Volume 3, Scuola Normale Superiore Pisa, pp. 1 - 18,

Book Chapters | 2011

Cowling MG, 2011, 'Calculus on Nilpotent Lie Groups', in Farb B; Fisher D (ed.), Geometry, Rigidity, and Group Actions, edn. Original, The University of Chicago Press, Chicago, pp. 285 - 295

Book Chapters | 2010

Cowling M, 2010, 'Unitary and Uniformly Bounded Representations Of Some Simple Lie Groups', in Harmonic Analysis and Group Representation, Springer Berlin Heidelberg, pp. 50 - 128,

Book Chapters | 2008

Cowling MG, 2008, 'Applications of representation theory to harmonic analysis of Lie groups (and vice versa)', in Cowling M; Kashiwara M; Vogan DA; Frenkel E; Valette A; Wallach NR (ed.), Lectures in Mathematics, Springer, Germany, pp. 1 - 50

Book Chapters | 2007

Cap A; Cowling MG; de Mari F; Eastwood M; McCallum R, 2007, 'The Heisenberg group, SL(3,R), and rigidity', in Harmonic analysis, group representations, automorphic forms and invariant theory, World Sci. Publ., Hackensack, NJ, pp. 41 - 52,

Book Chapters | 2001

Cherix P-A; Cowling M; Valette A, 2001, 'Classification of Lie Groups with the Haagerup Property', in Groups with the Haagerup Property, Birkhäuser Basel, pp. 41 - 61,

Book Chapters | 2001

Cherix P; Cowling MG; Valette A, 2001, 'Classification of Lie groups with the Haagerup property', in Groups with the Haagerup Property, edn. Original, Birkhauser Verlag, Switzerland, pp. 41 - 60

Book Chapters | 2001

Cowling M, 2001, 'The Radial Haagerup Property', in Groups with the Haagerup Property, Birkhäuser Basel, pp. 63 - 84,

Book Chapters | 2001

Cowling MG, 2001, 'The radial Haagerup property', in Groups with the Haagerup Property, edn. Original, Birkhauser Verlag, Switzerland, pp. 63 - 82

Book Chapters | 1990

Cowling M; Mauceri G, 1990, 'Surface measures—maximal functions and Fourier transforms', in Miniconference on Operators in Analysis (Sydney, 1989), edn. Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, pp. 28 - 37

Book Chapters | 1990

Cowling MG; Gaudry GI; Qian T, 1990, 'A note on martingales with respect to complex measures', in Miniconference on Operators in Analysis (Sydney, 1989), edn. Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, pp. 10 - 27

Book Chapters | 1988

Cowling M, 1988, 'Rigidity, von Neumann algebras, and semisimple groups', in Miniconferences on harmonic analysis and operator algebras (Canberra, 1987), edn. Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, pp. 51 - 57

Book Chapters | 1987

Cowling M; Disney S, 1987, 'Oscillatory integrals', in Miniconference on harmonic analysis and operator algebras (Canberra, 1987), edn. Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, pp. 45 - 54

Book Chapters | 1986

Cowling M, 1986, 'On isomorphisms of algebras of operators', in Miniconference on operator theory and partial differential equations (North Ryde, 1986), edn. Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, pp. 11 - 20

Book Chapters | 1986

Cowling MG; Mauceri G, 1986, 'Fourier transform of surface carried measures', in Miniconference on operator theory and partial differential equations (North Ryde, 1986), edn. Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, pp. 142 - 147

Book Chapters | 1985

Cowling M, 1985, 'Square functions in Banach spaces', in Miniconference on linear analysis and function spaces (Canberra, 1984), edn. Proc. Centre Math. Anal. Austral. Nat. Univ., Austral. Nat. Univ., Canberra, pp. 177 - 184

Book Chapters | 1984

Cowling M; Koranyi A, 1984, 'Harmonic analysis on Heisenberg type groups from a geometric viewpoint', in Lie group representations, III (College Park, Md., 1982/1983), Springer, Berlin, pp. 60 - 100,

Book Chapters | 1983

Cowling M; Price JF, 1983, 'Generalisations of Heisenberg’s inequality', in Harmonic analysis (Cortona, 1982), Springer, Berlin, pp. 443 - 449,

Book Chapters | 1983

Cowling M, 1983, 'Harmonic analysis on some nilpotent Lie groups (with application to the representation theory of some semisimple Lie groups)', in Topics in modern harmonic analysis, Vol. I, II (Turin/Milan, 1982), Ist. Naz. Alta Mat. Francesco Severi, Rome, pp. 81 - 123

Book Chapters | 1983

Cowling MG, 1983, 'Pointwise behavior of solutions to Schrodinger equations', in Harmonic analysis (Cortona, 1982), Springer, Berlin, pp. 83 - 90,

Book Chapters | 1982

Cowling M, 1982, 'Unitary and uniformly bounded representations of some simple Lie groups', in Harmonic analysis and group representations, Liguori, Naples, pp. 49 - 128

Book Chapters | 1982

Cowling MG; Mantero AM, 1982, 'Examples of twisted convolution operators', in Harmonic analysis (Minneapolis, Minn., 1981), edn. Lecture Notes in Math., Springer, Berlin-New York, pp. 212 - 216

Book Chapters | 1982

Cowling MG; Mantero AM, 1982, 'Examples of twisted convolution operators', in Lecture Notes in Mathematics, Springer Berlin Heidelberg, pp. 210 - 216,

Book Chapters | 1979

Cowling M, 1979, 'Fractional integration on nilpotent groups and representations of semisimple groups', in Harmonic analysis in Euclidean spaces (Proc. Sympos. Pure Math., Williams Coll., Williamstown, Mass., 1978), Part 2, edn. Proc. Sympos. Pure Math., XXXV, Part, Amer. Math. Soc., Providence, R.I., pp. 395 - 402

Book Chapters | 1979

Cowling M, 1979, 'Sur les coefficients des representations unitaires des groupes de Lie simples', in Analyse harmonique sur les groupes de Lie (Sem., Nancy-Strasbourg 1976–1978), II, edn. Lecture Notes in Math., Springer, Berlin, pp. 132 - 178

Book Chapters | 1977

Cowling M, 1977, 'Differential operators on nilpotent Lie groups', in Symposia Mathematica, Vol. XXII (Convegno sull’Analisi Armonica e Spazi di Funzioni su Gruppi Localmente Compatti, INDAM, Rome, 1976), Academic Press, London, pp. 449 - 451
Journal articles | 2025

Cowling MG; Lee MY; Li J; Pipher J, 2025, 'AN ENDPOINT ESTIMATE for PRODUCT SINGULAR INTEGRAL OPERATORS on STRATIFIED LIE GROUPS', Canadian Journal of Mathematics,

Journal articles | 2024

Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2024, 'CR EMBEDDINGS OF NILPOTENT LIE GROUPS', Proceedings of the American Mathematical Society, 152, pp. 3413 - 3422,

Journal articles | 2024

Cowling MG; Hofmann KH; Morris SA, 2024, 'Open mappings of locally compact groups', Journal of Group Theory, 27, pp. 1143 - 1149,

Journal articles | 2024

Cowling MG; Kivioja V; Le Donne E; Golo SN; Ottazzi A, 2024, 'From homogeneous metric spaces to Lie groups', Comptes Rendus Mathematique, 362, pp. 943 - 1014,

Journal articles | 2023

Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2023, 'CR embeddings of CR manifolds', Annali di Matematica Pura ed Applicata, 202, pp. 287 - 291,

Journal articles | 2023

Cowling MG, 2023, 'Decay estimates for matrix coefficients of unitary representations of semisimple Lie groups', Journal of Functional Analysis, 285,

Journal articles | 2022

Bruno T; Cowling MG; Nicola F; Tabacco A, 2022, 'ESTIMATES FOR MATRIX COEFFICIENTS OF REPRESENTATIONS', American Journal of Mathematics, 144, pp. 943 - 965,

Journal articles | 2022

Chen P; Cowling M; Hu G; Li J, 2022, 'Marcinkiewicz multipliers associated with the Kohn Laplacian on the Shilov boundary of the product domain in C²ⁿ', Mathematische Zeitschrift, 300, pp. 347 - 376,

Journal articles | 2020

BENNETT J; BEZ N; BUSCHENHENKE S; COWLING MG; FLOCK TC, 2020, 'On the nonlinear brascamp-lieb inequality', Duke Mathematical Journal, 169, pp. 3291 - 3338,

Journal articles | 2020

Cowling MG; Li J; Ottazzi A; Wu Q, 2020, 'CONFORMAL AND CR MAPPINGS ON CARNOT GROUPS', Proceedings of the American Mathematical Society, Series B, 7, pp. 67 - 81,

Journal articles | 2019

Astengo F; Cowling MG; Di Blasio B, 2019, 'Uniformly bounded representations of SL(2,R)', Journal of Functional Analysis, 276, pp. 127 - 147,

Journal articles | 2019

Cowling MG; Martini A; Müller D; Parcet J, 2019, 'The Hausdorff–Young inequality on Lie groups', Mathematische Annalen, 375, pp. 93 - 131,

Journal articles | 2018

Astengo F; Cowling MG; Di Blasio B, 2018, 'Uniformly bounded representations and completely bounded multipliers of Sl(2,ℝ)', Advances in Operator Theory, 3, pp. 247 - 270,

Journal articles | 2018

Ciatti P; Cowling M, 2018, 'The Levi Decomposition of a graded Lie algebra', Rivista di Matematica della Universita di Parma, 9, pp. 373 - 378,

Journal articles | 2018

Ciatti P; Cowling MG, 2018, 'On derivations of subalgebras of real semisimple Lie algebras', Annali di Matematica Pura ed Applicata, 197, pp. 233 - 259,

Journal articles | 2018

Cowling MG; Hunt DC; Steele JD; Steele J, 2018, 'George Szekeres 1911-2005', Historical Records of Australian Science, 30, pp. 49 - 57,

Journal articles | 2017

Bennett J; Bez N; Cowling MG; Flock TC, 2017, 'Behaviour of the Brascamp-Lieb constant', Bulletin of the London Mathematical Society, 49, pp. 512 - 518,

Journal articles | 2017

Casarino V; Cowling MG; Martini A; Sikora A, 2017, 'Spectral Multipliers for the Kohn Laplacian on Forms on the Sphere in Cⁿ', Journal of Geometric Analysis, 27, pp. 3302 - 3338,

Journal articles | 2017

Cowling MG; Ottazzi A, 2017, 'Structure of stratified groups I. Product decompositions', Journal of Lie Theory, 27, pp. 177 - 183

Journal articles | 2016

Ayre PJ; Cowling MG; Sukochev FA, 2016, 'Operator Lipschitz estimates in the unitary setting', Proceedings of the American Mathematical Society, 144, pp. 1053 - 1057,

Journal articles | 2015

Ciatti P; Cowling MG; Ricci F, 2015, 'Hardy and uncertainty inequalities on stratified Lie groups', Advances in Mathematics, 277, pp. 365 - 387,

Journal articles | 2015

Cowling MG; Ottazzi A, 2015, 'Conformal maps of carnot groups', Annales Academiae Scientiarum Fennicae Mathematica, 40, pp. 203 - 213,

Journal articles | 2015

Cowling MG; Ottazzi A, 2015, 'Global contact and quasiconformal mappings of carnot groups', Conformal Geometry and Dynamics, 19, pp. 221 - 239,

Journal articles | 2011

Cowling MG; Klima O; Sikora A, 2011, 'Spectral multipliers for the kohn sublaplacian on the sphere in C n', Transactions of the American Mathematical Society, 363, pp. 611 - 631,

Journal articles | 2011

Cowling MG; Leinert M, 2011, 'Pointwise convergence and semigroups acting on vector-valued functions', Bulletin of the Australian Mathematical Society, 84, pp. 44 - 48,

Journal articles | 2010

Cowling MG; Demange B; Sundari M, 2010, 'Vector-valued distributions and Hardy’s uncertainty principle for operators', Revista Matematica Iberoamericana, 26, pp. 133 - 146

Journal articles | 2010

Cowling MG; Escauriaza L; Kenig CE; Ponce G; Vega L, 2010, 'The Hardy uncertainty principle revisited', Indiana University Mathematics Journal, 59, pp. 2007 - 2025

Journal articles | 2010

Cowling MG; Meda S; Setti AG, 2010, 'A weak type (1,1) estimate for a maximal operator on a group of isometries of a homogeneous tree', Colloquium Mathematicum, 118, pp. 223 - 232,

Journal articles | 2006

Capogna L; Cowling MG, 2006, 'Conformality and Q-harmonicity in Carnot groups', Duke Mathematical Journal, 135, pp. 455 - 479

Journal articles | 2006

Cowling MG; Meda S, 2006, 'Estimates for kernels of intertwining operators on SL(n,R)', Journal of the Australian Mathematical Society, 81, pp. 105 - 120,

Journal articles | 2006

Cowling MG, 2006, 'Measure theory and automorphic representations', Bulletin of Kerala Mathematics Association, pp. 137 - 151

Journal articles | 2005

Cowling MG; De Mari F; Koranyi A; Reimann HM, 2005, 'Contact and conformal maps in parabolic geometry. I', Geometriae Dedicata, 111, pp. 65 - 86

Journal articles | 2005

Cowling MG; Dorofaeff B; Seeger A; Wright J, 2005, 'A family of singular oscillatory integral operators and failure of weak amenability', Duke Mathematical Journal, 127, pp. 429 - 486

Journal articles | 2004

Astengo F; Cowling MG; Di Blasio B, 2004, 'The Cayley transform and uniformly bounded representations', Journal of Functional Analysis, 213, pp. 241 - 269

Journal articles | 2004

Cherix P; Cowling MG; Straub BP, 2004, 'Filter products of C0-semigroups and ultraproduct representations for Lie groups', Journal of Functional Analysis, 208, pp. 31 - 63

Journal articles | 2003

Cowling MG; Reimann HM, 2003, 'Quasiconformal mappings on Carnot groups: three examples', Contemporary Mathematics, 320, pp. 111 - 118,

Journal articles | 2002

Bekka ME; Cowling MG, 2002, 'Some irreducible unitary representations of G(K) for a simple algebraic group G over an algebraic number field K', Mathematische Zeitschrift, 241, pp. 731 - 741

Journal articles | 2002

Cowling M; De Mari F; Koranyi A; Reimann HM, 2002, 'Contact and conformal maps on Iwasawa N groups', Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Serie IX. Matematica e Applicazioni, 13, pp. 219 - 232

Journal articles | 2002

Cowling MG; Garcia-Cuerva J; Gunawan H, 2002, 'Weighted estimates for fractional maximal functions related to spherical means', Bulletin of the Australian Mathematical Society, 66, pp. 75 - 90

Journal articles | 2002

Cowling MG; Giulini S; Meda S, 2002, 'Oscillatory multipliers related to the wave equation on noncompact symmetric spaces', Journal of the London Mathematical Society - Second Series, 66, pp. 691 - 709

Journal articles | 2002

Cowling MG, 2002, 'Analysis on the sphere', Jurnal Matematika atau Pembelajarannya, VIII, pp. 179 - 183

Journal articles | 2001

Cowling M; Giulini S; Meda S, 2001, 'L-p-L-q estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. III', Annales de l'Institut Fourier, 51, pp. 1047 - 1069

Journal articles | 2001

Cowling MG; Nevo A, 2001, 'Uniform estimates for spherical functions on complex semisimple Lie groups', Geometric and functional analysis, 11, pp. 900 - 932

Journal articles | 2001

Cowling MG; Sikora A, 2001, 'A spectral multiplier theorem for a sublaplacian on SU(2)', Mathematische Zeitschrift, pp. 1 - 36

Journal articles | 2001

Cowling MG; Tao T, 2001, 'Some light on Littlewood-Paley theory', Mathematische Annalen, pp. 885 - 888

Journal articles | 2000

Astengo F; Cowling MG; Di Blasio B; Sundari M, 2000, 'Hardy`s uncertainty principle on certain Lie groups', Journal of the London Mathematical Society - Second Series, pp. 461 - 472

Journal articles | 2000

Cowling MG; Meda S; Setti AG, 2000, 'Estimates for functions of the Laplace operator on homogeneous trees', Transactions of the American Mathematical Society, pp. 4271 - 4293

Journal articles | 2000

Cowling MG; Sitaram A; Sundari M, 2000, 'Hardy`s uncertainty principle on semisimple groups', Pacific Journal of Mathematics, 192, pp. 293 - 296

Journal articles | 1999

Cowling MG; Meda S; Pasquale R, 1999, 'Riesz potentials and amalgams', Annales de l'Institut Fourier, pp. 1345 - 1367

Journal articles | 1999

Cowling MG; Meda S; Setti AG, 1999, 'Invariant operators on function spaces on homogeneous trees', Colloquium Mathematicum, pp. 53 - 61

Journal articles | 1999

Cowling MG; Qian T, 1999, 'A class of singlar integrals on the n-complex unit sphere', Science China-Mathematics, 42, pp. 1233 - 1245,

Journal articles | 1999

Cowling MG; Qian T, 1999, 'A class of singular integrals on the complex n-sphere', Science in China Series A - Mathematics, 42, pp. 1121 - 1140

Journal articles | 1999

Cowling MG; Setti AG, 1999, 'The range of the Helgason-Fourier transformation on homogeneous trees', Bulletin of the Australian Mathematical Society, pp. 237 - 246

Journal articles | 1998

Cowling M; Dooley A; Koranyi A; Ricci F, 1998, 'An approach to symmetric spaces of rank one via groups of Heisenberg type', The Journal of Geometric Analysis, 8, pp. 199 - 237,

Journal articles | 1998

Cowling MG; Meda S; Setti AG, 1998, 'An overview of harmonic analysis on the group of isometries of a Homogeneous tree', Expositiones Mathematicae, 16, pp. 385 - 424

Journal articles | 1998

Cowling MG, 1998, 'The predual of the space of convolutors on a locally compact group', Bulletin of the Australian Mathematical Society, 57, pp. 409 - 414

Journal articles | 1997

Cowling M; Dorofaeff B, 1997, 'Random subgroups of Lie groups', Rendiconti del Seminario Matematico e Fisico di Milano, 67, pp. 95 - 101 (2000),

Journal articles | 1997

Cowling MG, 1997, 'Herz`s `Principe de majoration` and the Kunze-Stein phenomenon', Canadian Mathematical Society, pp. 73 - 88

Journal articles | 1996

Cowling MG; Doust IR; Mcintosh A; Yagi A, 1996, 'Banach space operators with bounded H^{infinity} functional calculus', Journal of the Australian Mathematical Society Series A - Pure Mathematics and Statistics, pp. 51 - 89

Journal articles | 1995

Cowling MG; Giulini S; Meda S, 1995, 'Lp-Lq estimates for functions of the Laplace- Beltrami operator on noncompact symmetric spaces II', Journal of Lie Theory, pp. 1 - 14

Journal articles | 1994

Bekka M; Cowling M; de la Harpe P, 1994, 'Simplicity of the reduced C*-algebra of PSL(n,Z)', International Mathematics Research Notices, pp. 285ff. - approx. 7 pp. (electronic),

Journal articles | 1994

Bekka M; Cowling M; de la Harpe P, 1994, 'Some groups whose reduced C*-algebra is simple', Institut des Hautes Etudes Scientifiques. Publications Mathematiques, pp. 117 - 134 (1995),

Journal articles | 1994

Cowling M; Giulini S; Hulanicki A; Mauceri G, 1994, 'Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth', Studia Mathematica, 111, pp. 103 - 121,

Journal articles | 1993

Cowling M; Giulini S; Meda S, 1993, 'Lp-Lq estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. I', Duke Mathematical Journal, 72, pp. 109 - 150,

Journal articles | 1993

Cowling M; Meda S, 1993, 'Harmonic Analysis and Ultracontractivity', Transactions of the American Mathematical Society, 340, pp. 733 - 733,

Journal articles | 1993

Cowling M; Meda S, 1993, 'Harmonic analysis and ultracontractivity', Transactions of the American Mathematical Society, 340, pp. 733 - 752,

Journal articles | 1991

Cowling M; Dooley AH; Korányi A; Ricci F, 1991, 'H-type groups and Iwasawa decompositions', Advances in Mathematics, 87, pp. 1 - 41,

Journal articles | 1991

Cowling M; Gaudry G; Giulini S; Mauceri G, 1991, 'Weak type (1,1) estimates for heat kernel maximal functions on Lie groups', Transactions of the American Mathematical Society, 323, pp. 637 - 649,

Journal articles | 1991

Cowling M; Steger T, 1991, 'The irreducibility of restrictions of unitary representations to lattices', Journal fur die Reine und Angewandte Mathematik. [Crelle’s Journal], 420, pp. 85 - 98,

Journal articles | 1990

Cowling M; Disney S; Mauceri G; Müller D, 1990, 'Damping oscillatory integrals', Inventiones Mathematicae, 101, pp. 237 - 260,

Journal articles | 1989

Cowling M; Fendler G; Fournier JJF, 1989, 'Variants of Littlewood-Paley theory', Mathematische Annalen, 285, pp. 333 - 342,

Journal articles | 1989

Cowling M; Haagerup U, 1989, 'Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one', Inventiones Mathematicae, 96, pp. 507 - 549,

Journal articles | 1989

Cowling M; Meaney C, 1989, 'On a maximal function on compact Lie groups', Transactions of the American Mathematical Society, 315, pp. 811 - 822,

Journal articles | 1989

Cowling M; Zimmer RJ, 1989, 'Actions of lattices in Sp(1,n)', Ergodic Theory and Dynamical Systems, 9, pp. 221 - 237,

Journal articles | 1989

Cowling M, 1989, 'Rigidity for lattices in semisimple Lie groups: von Neumann algebras and ergodic actions', Universita e Politecnico di Torino. Seminario Matematico. Rendiconti, 47, pp. 1 - 37 (1991)

Journal articles | 1988

Cowling M; Haagerup U; Howe R, 1988, 'Almost L2 matrix coefficients', Journal fur die Reine und Angewandte Mathematik, 387, pp. 97 - 110

Journal articles | 1988

Cowling M; Price JF; Sitaram A, 1988, 'A qualitative uncertainty principle for semisimple Lie groups', Australian Mathematical Society. Journal. Series A. Pure Mathematics and Statistics, 45, pp. 127 - 132,

Journal articles | 1988

Cowling M, 1988, 'On the characters of unitary representations', Australian Mathematical Society. Journal. Series A. Pure Mathematics and Statistics, 45, pp. 62 - 65,

Journal articles | 1987

Cowling M; Mauceri G, 1987, 'Oscillatory integrals and Fourier transforms of surface carried measures', Transactions of the American Mathematical Society, 304, pp. 53 - 68,

Journal articles | 1986

Cowling M; Mauceri G, 1986, 'Inequalities for some maximal functions. II', Transactions of the American Mathematical Society, 296, pp. 341 - 365,

Journal articles | 1986

Cowling M, 1986, 'On the Paley-Wiener theorem', Inventiones Mathematicae, 83, pp. 403 - 404,

Journal articles | 1985

Cowling M; Mauceri G, 1985, 'Inequalities for some maximal functions. I', Transactions of the American Mathematical Society, 287, pp. 431 - 455,

Journal articles | 1984

Cowling M; Fendler G, 1984, 'On representations in Banach spaces', Mathematische Annalen, 266, pp. 307 - 315,

Journal articles | 1984

Cowling MG; Price JF, 1984, 'Bandwidth versus time concentration: the Heisenberg-Pauli-Weyl inequality', SIAM Journal on Mathematical Analysis, 15, pp. 151 - 165,

Journal articles | 1983

Cowling M, 1983, 'Semigruppi negli spazi di Banach (Semigroups in Banach spaces)', Rendiconti del Seminario Matematico e Fisico di Milano, 53, pp. 27 - 33 (1986),

Journal articles | 1983

Cowling MG, 1983, 'Harmonic analysis on semigroups', Annals of Mathematics. Second Series, 117, pp. 267 - 283,

Journal articles | 1982

Cowling M; Mantero AM; Ricci F, 1982, 'Pointwise estimates for some kernels on compact Lie groups', Rendiconti del Circolo Matematico di Palermo. Serie II, 31, pp. 145 - 158,

Journal articles | 1979

Cowling M; Mauceri G, 1979, 'On maximal functions', Rendiconti del Seminario Matematico e Fisico di Milano, 49, pp. 79 - 87 (1981),

Journal articles | 1979

Cowling M; Rodway P, 1979, 'Restrictions of certain function spaces to closed subgroups of locally compact groups', Pacific Journal of Mathematics, 80, pp. 91 - 104,

Journal articles | 1979

Cowling M, 1979, 'An application of Littlewood-Paley theory in harmonic analysis', Mathematische Annalen, 241, pp. 83 - 96,

Journal articles | 1979

Cowling M, 1979, 'The Fourier-Stieltjes algebra of a semisimple group', Colloquium Mathematicum, 41, pp. 89 - 94

Journal articles | 1978

Cowling M, 1978, 'Some applications of Grothendieck’s theory of topological tensor products in harmonic analysis', Mathematische Annalen, 232, pp. 273 - 285,

Journal articles | 1978

Cowling M, 1978, 'The Kunze-Stein phenomenon', Ann. Math. (2), 107, pp. 209 - 234

Journal articles | 1978

Cowling M, 1978, 'The Plancherel formula for a group not of type $\rm I$', Unione Matematica Italiana. Bollettino. A. Serie V, 15, pp. 616 - 623

Journal articles | 1977

Cowling M, 1977, 'La synthese des convoluteurs de Lp de certains groupes pas moyennables', Boll. Un. Mat. Ital. A (5), 14, pp. 551 - 555

Journal articles | 1977

Cowling M, 1977, 'The Kunze-Stein phenomenon', Bulletin of the American Mathematical Society, 83, pp. 293 - 295,

Journal articles | 1976

Cowling M, 1976, 'The Kunze-Stein phenomenon', Rendiconti del Seminario Matematico e Fisico di Milano, 46, pp. 35 - 41 (1978),

Journal articles | 1976

Cowling MG; Fournier JJF, 1976, 'Inclusions and noninclusion of spaces of convolution operators', Transactions of the American Mathematical Society, 221, pp. 59 - 95

Journal articles | 1975

COWLING M, 1975, 'CONJECTURE OF STEIN,EM', NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 22, pp. A716 - A716,

Journal articles | 1975

Cowling MG, 1975, 'Extension of Fourier Lp-Lq multipliers', Transactions of the American Mathematical Society, 213, pp. 1 - 33,

Journal articles | 1975

Cowling MG, 1975, 'Functions which are restrictions of Lp-multipliers', Transactions of the American Mathematical Society, 213, pp. 35 - 51,

Journal articles | 1972

Cowling MG, 1972, 'Extension of multipliers by periodicity', Bulletin of the Australian Mathematical Society, 6, pp. 263 - 285,
Working Papers | 2021

Chen P; Cowling MG; Lee M-Y; Li J; Ottazzi A, 2021, Flag Hardy space theory on Heisenberg groups and applications, ,

Working Papers | 2020

Ahrens J; Cowling MG; Martini A; Müller D, 2020, Quaternionic spherical harmonics and a sharp multiplier theorem on quaternionic spheres, Springer Nature,

Working Papers | 2019

Bruno T; Cowling MG; Nicola F; Tabacco A, 2019, Estimates for matrix coefficients of representations, ,

Working Papers | 2018

Cowling MG; Li J; Ottazzi A; Wu Q, 2018, Conformal and CR mappings on Carnot groups, ,

Working Papers | 2017

Cowling MG; Kivioja V; Donne EL; Golo SN; Ottazzi A, 2017, From homogeneous metric spaces to Lie groups, http://dx.doi.orghttps://www.researchgate.net/publication/317218306_From_homogeneous_metric_spaces_to_Lie_groups

Working Papers | 2013

Andersen NB; Cowling MG, 2013, Rigidity of causal maps, ,
Preprints | 2025

Bui TA; Cowling MG; Duong XT, 2025, On subordinated semigroups and Hardy spaces associated to fractional powers of operators,

Preprints | 2024

Astengo F; Cowling MG; Blasio BD, 2024, Irreducible representations of $\mathrm{SL}(2,\mathrm{R})$ on Hilbert spaces are admissible,

Preprints | 2024

Bennett J; Cowling MG, 2024, Brascamp--Lieb inequalities on locally compact abelian groups,

Preprints | 2023

Cowling MG; Lee M-Y; Li J; Pipher J, 2023, An endpoint estimate for product singular integral operators on stratified Lie groups,

Preprints | 2022

Cowling MG; Fan Z; Li J; Yan L, 2022, Characterizations of product Hardy spaces on stratified groups by singular integrals and maximal functions, ,

Preprints | 2022

Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2022, CR embeddings of CR manifolds, ,

Preprints | 2022

Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2022, CR embeddings of nilpotent Lie groups, ,

Preprints | 2022

Cowling MG, 2022, Decay estimates for matrix coefficients of unitary representations of semisimple Lie groups, ,

Preprints | 2021

Chen P; Cowling MG; Lee M-Y; Li J; Ottazzi A, 2021, Flag Hardy space theory on Heisenberg groups and applications,

Preprints | 2018

Bennett J; Bez N; Buschenhenke S; Cowling MG; Flock TC, 2018, On the nonlinear Brascamp-Lieb inequality, ,

Preprints | 2018

Cowling MG; Li J; Ottazzi A; Wu Q, 2018, Conformal and CR mappings on Carnot groups, ,

Preprints | 2018

Cowling MG; Martini A; Müller D; Parcet J, 2018, The Hausdorff-Young inequality on Lie groups,

Preprints | 2017

Astengo F; Cowling M; Di Blasio B, 2017, Uniformly bounded representations of SL2R, ,

Preprints | 2017

Astengo F; Cowling MG; Di Blasio B, 2017, Uniformly bounded representations and completely bounded multipliers of SL(2,R), ,

Preprints | 2017

Ciatti P; Cowling MG, 2017, The Levi Decomposition of a Graded Lie Algebra, ,

Preprints | 2017

Cowling MG; Kivioja V; Donne EL; Golo SN; Ottazzi A, 2017, From homogeneous metric spaces to Lie groups,

Preprints | 2016

Bennett J; Bez N; Cowling MG; Flock TC, 2016, Behaviour of the Brascamp--Lieb constant, ,

Preprints | 2016

Ciatti P; Cowling M, 2016, On derivations of subalgebras of real semisimple Lie algebras, ,

Preprints | 2015

Casarino V; Cowling MG; Martini A; Sikora A, 2015, Spectral multipliers for the Kohn Laplacian on forms on the sphere in $\mathbb{C}^n$, ,

Preprints | 2014

Cowling MG; Ottazzi A, 2014, Global contact and quasiconformal mappings of Carnot groups, ,

Preprints | 2013

Ciatti P; Cowling MG; Ricci F, 2013, Hardy and uncertainty inequalities on stratified Lie groups,

Preprints | 2013

Cowling MG; Ottazzi A, 2013, Conformal maps of Carnot groups, ,

Preprints | 2008

Cowling MG; Demange B; Sundari M, 2008, Vector- valued distributions and Hardy's uncertainty principle for operators, ,

Conference Papers | 2005

Cowling MG; Sundari M, 2005, 'An uncertainty principle for operators', in 4th International Conference on Wavelet Analysis and its Applications, Macau SAR, China, presented at 4th International Conference on Wavelet Analysis and its Applications, Macau SAR, China, 30 November 2005 - 02 December 2005

Preprints | 2002

Cowling M; Dorofaeff B; Seeger A; Wright J, 2002, A family of singular oscillatory integral operators and failure of weak amenability, ,

Conference Papers | 2000

Cowling MG, 2000, 'Mappings which preserve families of curves', in Prociding Konperensi Nasional Matematika X, Prociding Konperensi Nasional Matematika X, presented at Prociding Konperensi Nasional Matematika X, 17 July 2000 - 20 July 2000

Conference Papers | 1981

Cowling M, 1981, 'A remark on twisted convolution', in Proceedings of the Seminar on Harmonic Analysis (Pisa, 1980), pp. 203 - 209

Conference Papers | 1981

Cowling MG, 1981, 'On Littlewood-Paley-Stein theory', in Proceedings of the Seminar on Harmonic Analysis (Pisa, 1980), pp. 21 - 55

RECENT GRANTS

Homogeneous Metric Spaces (2017 to 2021)
Harmonic analysis of Laplacians in curved spaces�� (2022 t0 2024)

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Medal, Australian Mathematical Society, 1989��
Fellow, Australian Academy of Science, 1993
Scientia Professor, ��Ʊ, 2001-2012
Humboldt Foundation Research Prize Winner, 2009

RESEARCH INTERESTS
Harmonic Analysis, Lie Groups, Algebraic Groups, Representation Theory, Partial Differential Equations, Differential Geometry.��

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