, Espace de Bergman d'un semi-groupe complexe, C.R. Acad.Sci. Paris. Série I, vol.322, pp.635-640, 1996.
, Repr??sentation de Weil associ??e ?? une repr??sentation d'une alg??bre de Jordan, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.328, issue.6, pp.463-468, 1999.
DOI : 10.1016/S0764-4442(99)80191-8
, Berezin Kernels of Tube Domains, Journal of Functional Analysis, vol.181, issue.2, pp.189-209, 2001.
DOI : 10.1006/jfan.2000.3706
, Analyse conforme sur les alg??bres de Jordan, Journal of the Australian Mathematical Society, vol.124, issue.02, pp.1-21, 2002.
DOI : 10.2307/1969810
, Symmetric spaces and star representations, Journal of Geometry and Physics, vol.41, issue.3, pp.224-234, 2002.
DOI : 10.1016/S0393-0440(01)00057-2
, Matrix-valued Berezin kernels Geometry and analysis on finite-and infinite-dimensional Lie groups, Warszawa : Polish Academy of Sciences, pp.269-288, 2002.
, Berezin kernels and maximal degenerate representations associated with Riemannian symmetric spaces of Hermitian type, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), vol.292, issue.177, pp.11-21, 2002.
, Invariant Hilbert subspaces of the oscillator representation, Indagationes Mathematicae, vol.14, issue.3-4, pp.309-318, 2003.
DOI : 10.1016/S0019-3577(03)90048-6
, Symmetric spaces and star representations. III. The Poincar disc. dans Noncommutative harmonic analysis, Progr. Math, vol.220, pp.61-77, 2004.
, Isomorphisme de Duflo et la cohomologie tangentielle, Journal of Geometry and Physics, vol.51, issue.4, pp.486-505, 2004.
DOI : 10.1016/j.geomphys.2004.03.001
URL : https://hal.archives-ouvertes.fr/hal-00163360
, Berezin kernels and analysis on Makarevich spaces, Indagationes Mathematicae, vol.16, issue.3-4, 2005.
DOI : 10.1016/S0019-3577(05)80036-9
URL : https://hal.archives-ouvertes.fr/hal-00163356
, Ring structures for holomorphic discrete series and Rankincohen brackets, Preprint ESI, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00163350
, The quantization of a para-Hermitian symmetric space and pseudodifferential analysis on the projective space
, The non-commutative Weil algebra, Inventiones mathematicae, vol.139, issue.1, pp.135-172, 2000.
DOI : 10.1007/s002229900025
, Poisson geometry and the Kashiwara???Vergne conjecture, Comptes Rendus Mathematique, vol.335, issue.9, pp.723-728, 2002.
DOI : 10.1016/S1631-073X(02)02560-8
, On the Kashiwara-Vergne conjecture, E-print : arXiv : math, p.506499
, Kontsevich quantization and invariant distributions on Lie groups, Annales Scientifiques de l?????cole Normale Sup??rieure, vol.35, issue.3, pp.371-390, 2002.
DOI : 10.1016/S0012-9593(02)01093-5
URL : https://hal.archives-ouvertes.fr/hal-00689885
, Convolution of Invariant Distributions: Proof of the Kashiwara?Vergne conjecture, Letters in Mathematical Physics, vol.329, issue.1, pp.177-203, 2004.
DOI : 10.1007/s11005-004-0979-x
URL : https://hal.archives-ouvertes.fr/hal-00689880
, Asymptotic expansions of Berezin transforms, Indiana University Mathematics Journal, vol.49, issue.1, pp.7-30, 2000.
DOI : 10.1512/iumj.2000.49.1815
, Weyl calculus for complex and real symmetric domains. dans Harmonic analysis on complex homogeneous domains and Lie groups, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei Mat. Appl, vol.13, issue.9, pp.3-4, 2001.
, Invariant symbolic calculi and eigenvalues of invariant operators on symmetric domains. Dans Function spaces, interpolation theory and related topics, pp.151-211, 2002.
, Theory of reproducing kernels, Transactions of the American Mathematical Society, vol.68, issue.3, pp.337-404, 1950.
DOI : 10.1090/S0002-9947-1950-0051437-7
, Degenerate series representations for GL(2n, R) and Fourier analysis, in " Indecomposable representations of Lie groups and their physical applications, Sympos. Math, pp.31-45, 1988.
, Deformation theory and quantization. I. Deformations of symplectic structures, Annals of Physics, vol.111, issue.1, pp.61-110, 1978.
DOI : 10.1016/0003-4916(78)90224-5
, Weighted Bergman spaces on bounded symmetric domains, Pacific Journal of Mathematics, vol.206, issue.1, pp.39-68, 2002.
DOI : 10.2140/pjm.2002.206.39
, General concept of quantization, Communications in Mathematical Physics, vol.31, issue.2, pp.153-174, 1975.
DOI : 10.1007/BF01609397
, Connection between co-and contravariant symbols of operators on the classical complex symmetric spaces, Dokl. Akad. Nauk USSR, vol.241, pp.15-17, 1978.
, The kernel function and conformal mapping, Math. Surveys, n. V, Amer, Math. Soc, 1950.
, Algebraic structures of Makarevic spaces. I. Transform. Groups 3, pp.3-32, 1998.
, The Geometry of Jordan and Lie Structures, Lecture Notes in Maths, vol.1754, 2000.
DOI : 10.1007/b76884
, Group representations arising from Lorentz conformal geometry, J. Funct. Anal, vol.74, pp.199-241, 1987.
, Ørsted, Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup, J. Funct
, A path integral aproach to the Kontsevich quantization formula, Comm. Amth. Phys, vol.212, pp.591-611, 2000.
, A generalized hecke identity, The Journal of Fourier Analysis and Applications, vol.24, issue.1, pp.105-111, 2000.
DOI : 10.1007/BF02510121
, Sums involving the values at negative integers of L-functions of quadratic characters, Mathematische Annalen, vol.97, issue.3, pp.271-295, 1975.
DOI : 10.1007/BF01436180
, Rankin-Cohen brackets and the Hopf algebra of transverse geometry, Mosc. Math. J, vol.4, issue.1, pp.111-130, 2004.
, A new approach to Berezin kernels and canonical representations Asymptotic combinatorics with application to mathematical physics, Proceedings of the NATO Advanced Study Institute, pp.77279-305, 2002.
, Canonical Representations Related to Hyperbolic Spaces, Journal of Functional Analysis, vol.147, issue.1, pp.107-139, 1997.
DOI : 10.1006/jfan.1996.3057
, Maximal degenerate representations, Berezin kernels and canonical representations, in " Lie Groups and Lie algebras, their representations, generalizations and applications, Kluwer Academic, 1997.
, The Berezin form for rank one para-Hermitian symmetric spaces, Journal de Math??matiques Pures et Appliqu??es, vol.77, issue.8, pp.747-799, 1998.
DOI : 10.1016/S0021-7824(98)80008-1
, Tensor products of maximal degenerate series representations of the group SL(n, R), Journal de Math??matiques Pures et Appliqu??es, vol.78, issue.1, pp.99-119, 1999.
DOI : 10.1016/S0021-7824(99)80011-7
, Op??rateurs diff??rentiels bi-invariants sur un groupe de Lie, Annales scientifiques de l'??cole normale sup??rieure, vol.10, issue.2, pp.265-288, 1977.
DOI : 10.24033/asens.1327
, Explicit Hilbert spaces for certain unipotent representations II, Inventiones Mathematicae, vol.138, issue.1, pp.203-224, 1999.
DOI : 10.1007/s002220050347
, Explicit Hilbert spaces for certain unipotent representations II, Inventiones Mathematicae, vol.138, issue.1, pp.430-456, 2003.
DOI : 10.1007/s002220050347
, RANKIN???COHEN TYPE DIFFERENTIAL OPERATORS FOR SIEGEL MODULAR FORMS, International Journal of Mathematics, vol.09, issue.04, pp.443-463, 1998.
DOI : 10.1142/S0129167X98000191
, A mean value theorem on bounded symmetric domains, Proc. Amer. Math. Soc. 127, pp.3259-3268
, Intégrales de Riesz sur un espace symétrique ordonné. Geometry and analysis on finite-and infinite-dimensional Lie groups, Polish Acad. Sci, vol.55, pp.289-308, 2000.
, Analysis on symmetric cones, 1994.
, Causal semisimple symmetric spaces, the geometry and harmonic analysis, Semigroups in Algebra, Geometry and Analysis. De Gruyter, 1995.
DOI : 10.1515/9783110885583.3
, Invariant Hilbert spaces of holomorphic functions, J. Lie Theory, vol.9, issue.2, pp.383-402, 1999.
, The Discrete Series for a Semisimple Symmetric Space, Ann. of Maths, vol.111, issue.2, pp.253-311, 1980.
DOI : 10.1090/cbms/061/07
, Bessel Functions of Matrix Argument, The Annals of Mathematics, vol.61, issue.3, pp.474-523, 1955.
DOI : 10.2307/1969810
, Canonical representations, 1999.
, Remarks on classical invariant theory, Transactions of the American Mathematical Society, vol.313, issue.2, pp.539-570, 1989.
DOI : 10.1090/S0002-9947-1989-0986027-X
, Degenerate Principal Series Representations of GLn(C) and GLn(R), Journal of Functional Analysis, vol.166, issue.2, pp.244-309, 1999.
DOI : 10.1006/jfan.1999.3427
, Homogeneous Functions on Light Cones: \\the Infinitesimal Structure of some Degenerate Principal Series Representations, Bulletin of the American Mathematical Society, vol.28, issue.1, pp.1-74, 1993.
DOI : 10.1090/S0273-0979-1993-00360-4
, Harmonic analysis of functions of several complex variables in the classical domains, Translations of Mathematical monographs, vol.6, 1963.
, Restrictions and expansions of holomorphic representations, Journal of Functional Analysis, vol.34, issue.1, pp.29-53, 1979.
DOI : 10.1016/0022-1236(79)90023-5
, Degenerate principal series and compact groups, Mathematische Annalen, vol.10, issue.1, pp.703-718, 1990.
DOI : 10.1007/BF01446924
, Degenerate principal series on tube type domains, Contemp. Math, vol.138, pp.175-187, 1992.
DOI : 10.1090/conm/138/1199127
, Paracomplex Structures and Affine Symmetric Spaces, Tokyo Journal of Mathematics, vol.08, issue.1, pp.81-98, 1985.
DOI : 10.3836/tjm/1270151571
, Non-linear groups of transformations defined by general norms of Jordan algebras, Soviet Math Dokl, vol.8, pp.176-180, 1967.
, On the Segal-Shale-Weil representations and harmonic polynomials, Inventiones Mathematicae, vol.24, issue.12, pp.1-47, 1978.
DOI : 10.1007/BF01389900
, The Campbell-Hausdorff formula and invariant hyperfunctions, Inventiones Mathematicae, vol.3, issue.3, pp.249-272, 1978.
DOI : 10.1007/BF01579213
, Functions on the Shilov boundary of the generalized half plane, Lectures notes in Math, pp.136-176, 1979.
, Multiplicity-free theorem in branching problems of unitary highest weight modules, Proceedings of the Symposium on Representation Theory, pp.9-17, 1997.
, The restriction of A q (?) to reductive subgroups, Part I, Proc. Japan Acad, pp.262-267, 1993.
, Discrete decomposability of the restriction ofA q(?) with respect to reductive subgroups and its applications, Inventiones Mathematicae, vol.68, issue.2, pp.181-205, 1994.
DOI : 10.1007/BF01232239
, Discrete Decomposability of the Restriction of A q (??) with Respect to Reductive Subgroups II: Micro-Local Analysis and Asymptotic K-Support, The Annals of Mathematics, vol.147, issue.3, pp.709-729, 1998.
DOI : 10.2307/120963
, Discrete decomposability of the restriction of A q (??) with respect to reductive subgroups, Inventiones Mathematicae, vol.131, issue.2, pp.229-256, 1998.
DOI : 10.1007/s002220050203
, Discrete Series Representations for the Orbit Spaces Arising from Two Involutions of Real Reductive Lie Groups, Journal of Functional Analysis, vol.152, issue.1, pp.100-135, 1998.
DOI : 10.1006/jfan.1997.3128
, Multiplicity-free representations and visible actions on complex manifolds, Publications of the Research Institute for Mathematical Sciences, vol.41, issue.3, 2005.
DOI : 10.2977/prims/1145475221
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.307.5477
, Analysis on the minimal representation of O(p,q) I. Realization via conformal geometry, Advances in Mathematics, vol.180, issue.2, pp.486-512, 2003.
DOI : 10.1016/S0001-8708(03)00012-4
, ???ber eine Gruppe von rationalen Abbildungen, Inventiones Mathematicae, vol.72, issue.2, pp.136-171, 1967.
DOI : 10.1007/BF01389742
, Deformation Quantization of Poisson Manifolds, Letters in Mathematical Physics, vol.66, issue.3, pp.157-216, 2003.
DOI : 10.1023/B:MATH.0000027508.00421.bf
, The Capelli identity, tube domains, and the generalized Laplace transform, Advances in Mathematics, vol.87, issue.1, pp.71-92, 1991.
DOI : 10.1016/0001-8708(91)90062-C
, Jordan algebras and Capelli identities, Inventiones Mathematicae, vol.251, issue.1, pp.657-664, 1993.
DOI : 10.1007/BF01232451
, On Hardy and Bergman spaces on complex Ol'shanski?? semigroups, Mathematische Annalen, vol.312, issue.1, pp.13-52, 1998.
DOI : 10.1007/s002080050211
, On Some Degenerate Principal Series Representations of U(n,n), Journal of Functional Analysis, vol.126, issue.2, pp.305-366, 1994.
DOI : 10.1006/jfan.1994.1150
, Degenerate principal series representations of Sp(p, q), Compositio Math, pp.123-151, 1996.
DOI : 10.1007/BF02785968
, Théorème sur l'´ equation dx 2 + dy 2 + dz 2 = ?(d? 2 + d? 2 + d? 2 ), J. Math. Pures et Appl, vol.15, p.103, 1850.
, Cohomologie tangente et cup-produit pour la quantification de Kontsevich, Annales math??matiques Blaise Pascal, vol.10, issue.1, pp.75-106, 2003.
DOI : 10.5802/ambp.168
, TENSOR PRODUCTS OF UNITARY REPRESENTATIONS OF THE THREE-DIMENSIONAL LORENTZ GROUP, Mathematics of the USSR-Izvestiya, vol.15, issue.1, pp.113-143, 1980.
DOI : 10.1070/IM1980v015n01ABEH001191
, Maximal degenerate series representations of the universal covering of the group SU (n, n). in " Lie groups and Lie algebras. Their representations, generalisations and applications, Dordrecht Math. Appl., Dordr, vol.433, pp.313-336, 1998.
, Matrix analogues of the B-function, and the Plancherel formula for Berezin kernel representations, Sb. Math, vol.191, pp.5-6683, 2000.
, Matrix balls, radial analysis of Berezin kernels, and hypergeometric determinants, Mosc.Math.J, vol.1, pp.157-220, 2001.
, Plancherel formula for Berezin deformation of L 2 on Riemannian symmetric space, J. Funct.Anal, vol.189, pp.336-408, 2002.
, Berezin transforms and group representations, J. Lie Theory, vol.8, pp.433-440, 1998.
, Simple graded rings of Siegel modular forms, differential operators and Borcherds products, I nt, J. Math, vol.16, pp.249-279, 2005.
, The holomorphic discrete series for affine symmetric spaces, I, Journal of Functional Analysis, vol.81, issue.1
DOI : 10.1016/0022-1236(88)90115-2
, Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series, Functional Analysis and Its Applications, vol.10, issue.1, pp.275-285, 1981.
DOI : 10.1007/BF01106156
, Transvectants, Modular Forms, and the Heisenberg Algebra, Advances in Applied Mathematics, vol.25, issue.3, pp.252-283, 2000.
DOI : 10.1006/aama.2000.0700
, Restriction of square integrable representations : discrete spectrum, Duke Math, J, vol.123, 2004.
, Generalized principal series representations and tube domains, Duke Math, J, vol.78, pp.335-356, 1995.
, Capelli identity and relative discrete series of line bundles over tube domains. dans Geometry and analysis on finite-and infinite-dimensional Lie groups, Proceedings of the workshop on Lie groups and Lie algebras, pp.55349-357, 2000.
, Harmonic analysis for differential forms on complex hyperbolic spaces, Journal of Geometry and Physics, vol.32, issue.2, pp.102-130, 1999.
DOI : 10.1016/S0393-0440(99)00026-1
URL : https://hal.archives-ouvertes.fr/hal-00160424
, Hankel forms of arbitrary weight over a symmetric domain via the transvectant . Rocky Mount, J. Math, vol.24, pp.1065-1085, 1994.
, Tensor products of holomorphic representations and bilinear differential operators, Journal of Functional Analysis, vol.210, issue.1, pp.171-192, 2004.
DOI : 10.1016/j.jfa.2003.09.006
, Tensor products of holomorphic discrete series representations. Can, J. Math, pp.31-836, 1979.
, Invariant analysis and contractions of symmetric spaces, I, Compositio Math, pp.11-136, 1990.
, Line Bundles over a Symmetrical Space and Invariant Analysis, Journal of Functional Analysis, vol.124, issue.2, pp.263-291, 1994.
DOI : 10.1006/jfan.1994.1108
, Une serie degeneree de representations de SLn(R), Lecture Notes in Maths, vol.739, pp.427-459, 1979.
DOI : 10.1007/BFb0062503
, The Capelli identity and unitary representations, Compositio Math, vol.81, pp.247-260, 1992.
, Explicit Hilbert spaces for certain unipotent representations, Inventiones Mathematicae, vol.251, issue.1, pp.409-418, 1992.
DOI : 10.1007/BF01231340
URL : http://arxiv.org/pdf/math/0110339v1.pdf
, The Capelli identity and unitary representations, Compositio Math, vol.81, pp.175-187, 1992.
, Unitary representations on the Shilov boundary of a symmetric tube domain, Contemp. Math, vol.145, pp.275-286, 1993.
DOI : 10.1090/conm/145/1216195
, Jordan algebras and degenerate principal series, J. Reine-Angew.Math, vol.462, pp.1-18, 1995.
, Algebraic structures of symmetric domains. Iwanami-Shoten and, 1980.
, Analysis in matrix space and Speh's representations, Inventiones Mathematicae, vol.83, issue.1, pp.379-393, 1990.
DOI : 10.1007/BF01231507
, Berezin-Toeplitz quantization and Berezin transform Long time behaviour of classical and quantum systems, Proceedings of the Bologna APTEX international conference, pp.271-287, 2001.
, Construction and classification of irreducible Harish-Chandra modules Harmonic analysis on reductive groups, Progr. Math, vol.101, pp.235-275, 1989.
, Sous-espaces hilbertiens d???espaces vectoriels topologiques et noyaux associ??s (Noyaux reproduisants), Journal d'Analyse Math??matique, vol.238, issue.1, pp.115-256, 1964.
DOI : 10.1007/BF02786620
, On the Duflo formula for L ? -algebras and Q-manifolds, e-print, p.9812009
, Harmonic analysis on hyperboloids, Journal of Functional Analysis, vol.12, issue.4, pp.218-235, 1973.
DOI : 10.1016/0022-1236(73)90001-3
URL : http://doi.org/10.1016/0022-1236(73)90001-3
, The theorem of Bochner-Schwartz-Godement for generalised Gelfand pairs. Functional analysis : surveys and recent results III, Proc. Conf, pp.291-304, 1983.
, Integral representations in conuclear cones, J. Convex Anal. 1, pp.225-258, 1994.
, Opérateurs différentiels invariants sur les espaces symétriques I - Méthodes des orbites, J. Funct. Anal, vol.117, pp.118-173, 1993.
, Opérateurs différentiels invariants sur les espaces symétriques II -L'homomorphisme de Harish-Chandra généralisé, J. Funct. Anal, vol.117, pp.174-214, 1993.
, Sur la conjecture combinatoire de Kashiwara-Vergne, J. Lie Theory, vol.12, pp.597-616, 2002.
, Méthodes de Kashiwara-VergeRouvì ere pour les espaces symétriques, dans Noncommutative harmonic analysis, Progr. Math, vol.220, pp.61-77, 2004.
, La s??rie discr??te de ${\rm SL}(2,\,{R})$ et les op??rateurs pseudo-diff??rentiels sur une demi-droite, Annales scientifiques de l'??cole normale sup??rieure, vol.17, issue.1, pp.83-116, 1984.
DOI : 10.24033/asens.1467
, Quantification et analyse pseudo-diff??rentielle, Annales scientifiques de l'??cole normale sup??rieure, vol.21, issue.1, pp.133-158, 1988.
DOI : 10.24033/asens.1553
, Algebras of symbols and modular forms, Journal d'Analyse Math??matique, vol.18, issue.1, pp.121-143, 1996.
DOI : 10.1007/BF02790207
, The Berezin transform and invariant differential operators, Communications in Mathematical Physics, vol.48, issue.3, pp.563-597, 1994.
DOI : 10.1007/BF02101491
, Representations of the group SL(2, R), where R is a ring of functions, Uspehi Mat. Nauk, issue.5173, pp.2883-128, 1973.
, Invariant convex cones and orderings in Lie groups, Functional Analysis and Its Applications, vol.102, issue.1, pp.1-13, 1980.
DOI : 10.1007/BF01078407
, Modular forms and differential operators, Proceedings Mathematical Sciences, vol.20, issue.1, pp.57-75, 1994.
DOI : 10.1007/BF02830874
, Introduction to Modular Forms, From Number theory to Physics, pp.238-291, 1992.
DOI : 10.1007/978-3-662-02838-4_4
, Jordan algebras and generalized principal series representations, Mathematische Annalen, vol.39, issue.1, pp.773-786, 1995.
DOI : 10.1007/BF01444516
, Berezin transform on??compact Hermitian symmetric spaces, manuscripta mathematica, vol.97, issue.3, pp.371-388, 1998.
DOI : 10.1007/s002290050109
, Berezin transform on real bounded symmetric domains, Transactions of the American Mathematical Society, vol.353, issue.09, pp.3769-3787, 2001.
DOI : 10.1090/S0002-9947-01-02832-X