Select Publications

Books

Cherix P-A; Cowling M; Jolissaint P; Julg P; Valette A, 2001, Groups with the Haagerup Property, Springer Basel, http://dx.doi.org/10.1007/978-3-0348-0906-1

Book Chapters

Cowling MG; Martini A, 2013, 'Sub-Finsler geometry and finite propagation speed', in Picardello MA (ed.), Trends in Harmonic Analysis, Springer, pp. 147 - 206, http://dx.doi.org/10.1007/978-88-470-2853-1_8

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, 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, 2010, 'Unitary and Uniformly Bounded Representations Of Some Simple Lie Groups', in Harmonic Analysis and Group Representation, Springer Berlin Heidelberg, pp. 50 - 128, http://dx.doi.org/10.1007/978-3-642-11117-4_2

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, edn. LECTURE NOTES IN MATHEMATICS, Springer, Germany, 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

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

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, http://dx.doi.org/10.1007/978-3-0348-8237-8_4

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

Cowling M, 2001, 'The Radial Haagerup Property', in Groups with the Haagerup Property, Birkhäuser Basel, pp. 63 - 84, http://dx.doi.org/10.1007/978-3-0348-8237-8_5

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 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, 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 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 Lie group representations, III (College Park, Md., 1982/1983), Springer, Berlin, pp. 60 - 100, http://dx.doi.org/10.1007/BFb0072337

Cowling M; Price JF, 1983, 'Generalisations of Heisenberg’s inequality', in Harmonic analysis (Cortona, 1982), Springer, Berlin, pp. 443 - 449, http://dx.doi.org/10.1007/BFb0069174

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, 1983, 'Pointwise behavior of solutions to Schrodinger equations', in Harmonic analysis (Cortona, 1982), Springer, Berlin, pp. 83 - 90, http://dx.doi.org/10.1007/BFb0069152

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 MG; Mantero AM, 1982, 'Examples of twisted convolution operators', in Harmonic Analysis, Springer Berlin Heidelberg, pp. 210 - 216, http://dx.doi.org/10.1007/bfb0093290

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, '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, 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, 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

Chen P; Cowling MG; Hu G; Li J, 2021, 'Marcinkiewicz multipliers associated with the Kohn Laplacian on the Shilov boundary of the product domain in C2n', Mathematische Zeitschrift, http://dx.doi.org/10.1007/s00209-021-02799-3

Cowling M; Li J; Ottazzi A; Wu Q, 2020, 'Conformal and CR mappings on Carnot groups', Proceedings of the American Mathematical Society, Series B, vol. 7, pp. 67 - 81, http://dx.doi.org/10.1090/bproc/48

BENNETT J; BEZ N; BUSCHENHENKE S; COWLING MG; FLOCK TC, 2020, 'On the nonlinear brascamp-lieb inequality', Duke Mathematical Journal, vol. 169, pp. 3291 - 3338, http://dx.doi.org/10.1215/00127094-2020-0027

Cowling MG; Martini A; Müller D; Parcet J, 2019, 'The Hausdorff–Young inequality on Lie groups', Mathematische Annalen, vol. 375, pp. 93 - 131, http://dx.doi.org/10.1007/s00208-018-01799-9

Astengo F; Cowling MG; Di Blasio B, 2019, 'Uniformly bounded representations of SL(2,R)', Journal of Functional Analysis, vol. 276, pp. 127 - 147, http://dx.doi.org/10.1016/j.jfa.2018.10.015

Astengo F; Cowling MG; Di Blasio B, 2018, 'Uniformly bounded representations and completely bounded multipliers of Sl(2,ℝ)', Advances in Operator Theory, vol. 3, pp. 247 - 270, http://dx.doi.org/10.22034/aot.1707-1207

Ciatti P; Cowling MG, 2018, 'On derivations of subalgebras of real semisimple Lie algebras', Annali di Matematica Pura ed Applicata, vol. 197, pp. 233 - 259, http://dx.doi.org/10.1007/s10231-017-0677-9

Cowling MG; Hunt DC; Steele JD, 2018, 'George Szekeres 1911-2005', Historical Records of Australian Science, http://dx.doi.org/10.1071/HR18012

Ciatti P; Cowling M, 2018, 'The Levi Decomposition of a graded Lie algebra', Rivista di Matematica della Universita di Parma, vol. 9, pp. 373 - 378, http://www.rivmat.unipr.it/vols/2018-9-2/index-vol9-2.html

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, vol. 27, pp. 3302 - 3338, http://dx.doi.org/10.1007/s12220-017-9806-3

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

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

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; 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

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 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; 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; Escauriaza L; Kenig CE; Ponce G; Vega L, 2010, 'The Hardy uncertainty principle revisited', Indiana University Mathematics Journal, vol. 59, pp. 2007 - 2025, http://dx.doi.org/10.1512/iumj.2010.59.4395

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, http://dx.doi.org/10.4171/RMI/597

Capogna L; Cowling MG, 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


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