Select Publications
Books
2001, Groups with the Haagerup Property, Springer Basel, http://dx.doi.org/10.1007/978-3-0348-0906-1
,Book Chapters
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
,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://link.springer.com/content/pdf/bfm%3A978-88-7642-387-1/1
,2011, 'Calculus on Nilpotent Lie Groups', in Farb B; Fisher D (ed.), Geometry, Rigidity, and Group Actions, The University of Chicago Press, Chicago, pp. 285 - 295
,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
,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
,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, http://dx.doi.org/10.1142/9789812770790_0002
,2001, 'Classification of Lie groups with the Haagerup property', in Groups with the Haagerup Property, Birkhauser Verlag, Switzerland, pp. 41 - 60
,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
,2001, 'The radial Haagerup property', in Groups with the Haagerup Property, Birkhauser Verlag, Switzerland, pp. 63 - 82
,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
,1990, 'A note on martingales with respect to complex measures', in Miniconference on Operators in Analysis (Sydney, 1989), Austral. Nat. Univ., Canberra, pp. 10 - 27
,1990, 'Surface measures—maximal functions and Fourier transforms', in Miniconference on Operators in Analysis (Sydney, 1989), Austral. Nat. Univ., Canberra, pp. 28 - 37
,1988, 'Rigidity, von Neumann algebras, and semisimple groups', in Miniconferences on harmonic analysis and operator algebras (Canberra, 1987), Austral. Nat. Univ., Canberra, pp. 51 - 57
,1987, 'Oscillatory integrals', in Miniconference on harmonic analysis and operator algebras (Canberra, 1987), Austral. Nat. Univ., Canberra, pp. 45 - 54
,1986, 'Fourier transform of surface carried measures', in Miniconference on operator theory and partial differential equations (North Ryde, 1986), Austral. Nat. Univ., Canberra, pp. 142 - 147
,1986, 'On isomorphisms of algebras of operators', in Miniconference on operator theory and partial differential equations (North Ryde, 1986), Austral. Nat. Univ., Canberra, pp. 11 - 20
,1985, 'Square functions in Banach spaces', in Miniconference on linear analysis and function spaces (Canberra, 1984), Austral. Nat. Univ., Canberra, pp. 177 - 184
,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
,1983, 'Generalisations of Heisenberg’s inequality', in Harmonic analysis (Cortona, 1982), Springer, Berlin, pp. 443 - 449, http://dx.doi.org/10.1007/BFb0069174
,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
,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
,1982, 'Examples of twisted convolution operators', in Harmonic analysis (Minneapolis, Minn., 1981), Springer, Berlin-New York, pp. 212 - 216
,1982, 'Examples of twisted convolution operators', in Lecture Notes in Mathematics, Springer Berlin Heidelberg, pp. 210 - 216, http://dx.doi.org/10.1007/bfb0093290
,1982, 'Unitary and uniformly bounded representations of some simple Lie groups', in Harmonic analysis and group representations, Liguori, Naples, pp. 49 - 128
,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, Amer. Math. Soc., Providence, R.I., pp. 395 - 402
,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, Springer, Berlin, pp. 132 - 178
,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
2024, 'Open mappings of locally compact groups', Journal of Group Theory, 27, pp. 1143 - 1149, http://dx.doi.org/10.1515/jgth-2024-0017
,2024, 'CR EMBEDDINGS OF NILPOTENT LIE GROUPS', Proceedings of the American Mathematical Society, 152, pp. 3413 - 3422, http://dx.doi.org/10.1090/proc/16818
,2024, 'From homogeneous metric spaces to Lie groups', Comptes Rendus Mathematique, 362, pp. 943 - 1014, http://dx.doi.org/10.5802/crmath.608
,2023, 'Decay estimates for matrix coefficients of unitary representations of semisimple Lie groups', Journal of Functional Analysis, 285, http://dx.doi.org/10.1016/j.jfa.2023.110061
,2023, 'CR embeddings of CR manifolds', Annali di Matematica Pura ed Applicata, 202, pp. 287 - 291, http://dx.doi.org/10.1007/s10231-022-01241-7
,2022, 'ESTIMATES FOR MATRIX COEFFICIENTS OF REPRESENTATIONS', American Journal of Mathematics, 144, pp. 943 - 965, http://dx.doi.org/10.1353/ajm.2022.0020
,2022, 'Marcinkiewicz multipliers associated with the Kohn Laplacian on the Shilov boundary of the product domain in C2n', Mathematische Zeitschrift, 300, pp. 347 - 376, http://dx.doi.org/10.1007/s00209-021-02799-3
,2020, 'CONFORMAL AND CR MAPPINGS ON CARNOT GROUPS', Proceedings of the American Mathematical Society, Series B, 7, pp. 67 - 81, http://dx.doi.org/10.1090/bproc/48
,2020, 'On the nonlinear brascamp-lieb inequality', Duke Mathematical Journal, 169, pp. 3291 - 3338, http://dx.doi.org/10.1215/00127094-2020-0027
,2019, 'The Hausdorff–Young inequality on Lie groups', Mathematische Annalen, 375, pp. 93 - 131, http://dx.doi.org/10.1007/s00208-018-01799-9
,2019, 'Uniformly bounded representations of SL(2,R)', Journal of Functional Analysis, 276, pp. 127 - 147, http://dx.doi.org/10.1016/j.jfa.2018.10.015
,2018, 'Uniformly bounded representations and completely bounded multipliers of Sl(2,ℝ)', Advances in Operator Theory, 3, pp. 247 - 270, http://dx.doi.org/10.22034/aot.1707-1207
,2018, 'On derivations of subalgebras of real semisimple Lie algebras', Annali di Matematica Pura ed Applicata, 197, pp. 233 - 259, http://dx.doi.org/10.1007/s10231-017-0677-9
,2018, 'George Szekeres 1911-2005', Historical Records of Australian Science, 30, pp. 49 - 57, http://dx.doi.org/10.1071/HR18012
,2018, 'The Levi Decomposition of a graded Lie algebra', Rivista di Matematica della Universita di Parma, 9, pp. 373 - 378, http://www.rivmat.unipr.it/vols/2018-9-2/index-vol9-2.html
,2017, 'Spectral Multipliers for the Kohn Laplacian on Forms on the Sphere in Cn', Journal of Geometric Analysis, 27, pp. 3302 - 3338, http://dx.doi.org/10.1007/s12220-017-9806-3
,2017, 'Behaviour of the Brascamp-Lieb constant', Bulletin of the London Mathematical Society, 49, pp. 512 - 518, http://dx.doi.org/10.1112/blms.12049
,2017, 'Structure of stratified groups I. Product decompositions', Journal of Lie Theory, 27, pp. 177 - 183
,2016, 'Operator Lipschitz estimates in the unitary setting', Proceedings of the American Mathematical Society, 144, pp. 1053 - 1057, http://dx.doi.org/10.1090/proc/12833
,2015, 'Hardy and uncertainty inequalities on stratified Lie groups', Advances in Mathematics, 277, pp. 365 - 387, http://dx.doi.org/10.1016/j.aim.2014.12.040
,2015, 'Conformal maps of carnot groups', Annales Academiae Scientiarum Fennicae Mathematica, 40, pp. 203 - 213, http://dx.doi.org/10.5186/aasfm.2015.4008
,2015, 'Global contact and quasiconformal mappings of carnot groups', Conformal Geometry and Dynamics, 19, pp. 221 - 239, http://dx.doi.org/10.1090/ecgd/282
,