Select Publications

Book Chapters

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

Cowling MG, 2012, 'Isomorphisms of the figá-talamanca-herz algebras ap(g) for connected lie groups g', in Colloquium De Giorgi 2009, pp. 1 - 18, http://dx.doi.org/10.1007/978-88-7642-387-1_1

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

Cowling M, 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.), REPRESENTATION THEORY AND COMPLEX ANALYSIS, edn. LECTURE NOTES IN MATHEMATICS, SPRINGER-VERLAG BERLIN, Venice Int Univ, Venice, ITALY, pp. 1 - 50, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000254026300001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a

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, edn. Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., World Sci. Publ., Hackensack, NJ, pp. 41 - 52, http://dx.doi.org/10.1142/9789812770790_0002

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

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

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

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

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

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

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

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

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

COWLING M;KORANYI A, 1984, 'HARMONIC-ANALYSIS ON HEISENBERG TYPE-GROUPS FROM A GEOMETRIC VIEWPOINT', in LECTURE NOTES IN MATHEMATICS, PLENUM PUBL CORP, pp. 60 - 100, http://dx.doi.org/10.1007/BFb0072337

COWLING M;PRICE JF, 1983, 'GENERALIZATIONS OF HEISENBERGS INEQUALITY', in LECTURE NOTES IN MATHEMATICS, SPRINGER, pp. 443 - 449, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1983RE77200026&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a

COWLING MG, 1983, 'POINTWISE BEHAVIOR OF SOLUTIONS TO SCHRODINGER-EQUATIONS', in LECTURE NOTES IN MATHEMATICS, SPRINGER, pp. 83 - 90, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1983RE77200004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a

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

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

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

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

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

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

Ciatti P;Cowling MG, 2017, 'On derivations of subalgebras of real semisimple Lie algebras', Annali di Matematica Pura ed Applicata, pp. 1 - 27, http://dx.doi.org/10.1007/s10231-017-0677-9

Bennett J;Bez N;Cowling MG;Flock TC, 2017, 'Behaviour of the Brascamp-Lieb constant', Bulletin of the London Mathematical Society, vol. 49, pp. 512 - 518, http://dx.doi.org/10.1112/blms.12049

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, pp. 1 - 37, http://dx.doi.org/10.1007/s12220-017-9806-3

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

Ayre PJ;Cowling MG;Sukochev FA, 2016, 'Operator Lipschitz estimates in the unitary setting', Proceedings of the American Mathematical Society, vol. 144, pp. 1053 - 1057, http://dx.doi.org/10.1090/proc/12833

Cowling MG;Ottazzi A, 2015, 'Global contact and quasiconformal mappings of carnot groups', Conformal Geometry and Dynamics, vol. 19, pp. 221 - 239, http://dx.doi.org/10.1090/ecgd/282

Ciatti P;Cowling MG;Ricci F, 2015, 'Hardy and uncertainty inequalities on stratified Lie groups', Advances in Mathematics, vol. 277, pp. 365 - 387, http://dx.doi.org/10.1016/j.aim.2014.12.040

Cowling MG;Ottazzi A, 2015, 'Conformal maps of carnot groups', Annales Academiae Scientiarum Fennicae Mathematica, vol. 40, pp. 203 - 213, http://dx.doi.org/10.5186/aasfm.2015.4008

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, vol. 363, pp. 611 - 631, http://dx.doi.org/10.1090/S0002-9947-2010-04920-7

Cowling MG;Leinert M, 2011, 'Pointwise convergence and semigroups acting on vector-valued functions', Bulletin of the Australian Mathematical Society, vol. 84, pp. 44 - 48, http://dx.doi.org/10.1017/S0004972710002030

Cowling M;Escauriaza L;Kenig CE;Ponce G;Vega L, 2010, 'The Hardy Uncertainty Principle Revisited', INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 59, pp. 2007 - 2025, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000208253800009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a

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, vol. 118, pp. 223 - 232, http://dx.doi.org/10.4064/cm118-1-12

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

Capogna L;Cowling M, 2006, 'Conformality and Q-harmonicity in carnot groups', Duke Mathematical Journal, vol. 135, pp. 455 - 479, http://dx.doi.org/10.1215/S0012-7094-06-13532-9

Cowling M;Meda S, 2006, 'Estimates for kernels of intertwining operators on SL(n, ℝ)', Journal of the Australian Mathematical Society, vol. 81, pp. 105 - 120, http://dx.doi.org/10.1017/S144678870001466X

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

Cowling M;Dorofaeff B;Seeger A;Wright J, 2005, 'A family of singular oscillatory integral operators and failure of weak amenability', Duke Mathematical Journal, vol. 127, pp. 429 - 485, http://dx.doi.org/10.1215/S0012-7094-04-12732-0

Cowling M;De Mari F;Korányi A;Reimann HM, 2005, 'Contact and conformal maps in: Parabolic geometry. I', Geometriae Dedicata, vol. 111, pp. 65 - 86, http://dx.doi.org/10.1007/s10711-004-4231-8

Cherix PA;Cowling M;Straub B, 2004, 'Filter products of C0-semigroups and ultraproduct representations for lie groups', Journal of Functional Analysis, vol. 208, pp. 31 - 63, http://dx.doi.org/10.1016/j.jfa.2003.06.007

Astengo F;Cowling M;Di Blasio B, 2004, 'The Cayley transform and uniformly bounded representations', Journal of Functional Analysis, vol. 213, pp. 241 - 269, http://dx.doi.org/10.1016/j.jfa.2003.12.009

Cowling M;Reimann HM, 2003, 'Quasiconformal mappings on Carnot groups: Three examples', HARMONIC ANALYSIS AT MOUNT HOLYOKE, vol. 320, pp. 111 - 118, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000225061000009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a

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

Cowling M;De Mari F;Korányi 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 Matematica e Applicazioni, vol. 13, pp. 219 - 232

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

Bekka ME B;Cowling M, 2002, 'Some irreducible unitary representations of G(K) for a simple algebraic group G over an algebraic number field K', Mathematische Zeitschrift, vol. 241, pp. 731 - 741, http://dx.doi.org/10.1007/s00209-002-0442-6

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

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, vol. 51, pp. 1047 - 1069


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