K. Ban, On Rankin-Cohen-Ibukiyama operators for automorphic forms of several variables, Comment. Math. Univ. St. Pauli, vol.55, issue.2, pp.149-171, 2006.

Y. Choie, B. Mourrain, and &. Solé, Rankin-Cohen brackets and invariant theory, J. Algebraic Combin, vol.13, issue.1, pp.5-13, 2001.

H. Cohen, Sums involving the values at negative integers of Lfunctions of quadratic characters, Math. Ann, vol.217, issue.3, pp.271-285, 1975.

P. B. Cohen, Y. Manin, and &. Zagier, Automorphic pseudodifferential operators, Algebraic aspects of integrable systems, vol.26, pp.17-47, 1997.

A. Connes and &. Moscovici, Modular Hecke algebras and their Hopf symmetry, Mosc. Math. J, vol.4, issue.1, p.310, 2004.

, Rankin-Cohen brackets and the Hopf algebra of transverse geometry, Mosc. Math. J, vol.4, issue.1, p.311, 2004.

G. Van-dijk and &. M. Pevzner, Ring structures for holomorphic discrete series and Rankin-Cohen brackets, J. Lie Theory, vol.17, issue.2, pp.283-305, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00163350

W. Eholzer and &. Ibukiyama, Rankin-Cohen type differential operators for Siegel modular forms, Internat. J. Math, vol.9, issue.4, pp.443-463, 1998.

A. M. Gradechi, The Lie theory of the Rankin-Cohen brackets and allied bi-differential operators, Adv. Math, vol.207, issue.2, pp.484-531, 2006.

J. Faraut and &. Korányi, Analysis on symmetric cones, Oxford Mathematical Monographs, 1994.

M. Flensted-jensen, Discrete series for semisimple symmetric spaces, Ann. of Math, issue.2, pp.253-311, 1980.

P. Gordan-vorlesungen-Über-invariantentheorie, Herausgegeben von G. Kerschensteiner. Zweiter Band: Binäre Formen. 360 S., Leipzig. Teubner, p.1887

S. Gundelfinger, Zur Theorie der binären Formen, J. Reine Angew. Math, pp.413-424, 1887.

, S. Helgason-Differential geometry, Lie groups, and symmetric spaces, vol.80, 1978.

R. Howe and &. , Tan-Nonabelian harmonic analysis, Universitext, Applications of SL, 1992.

S. Kaneyuki and &. Kozai, Paracomplex structures and affine symmetric spaces, Tokyo J. Math, vol.8, issue.1, pp.81-98, 1985.

T. Kobayashi, Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups, J. Funct. Anal, vol.152, issue.1, pp.100-135, 1998.

B. Kostant, On the existence and irreducibility of certain series of representations, Bull. Amer. Math. Soc, vol.75, pp.627-642, 1969.

G. Ólafsson and &. Ørsted, The holomorphic discrete series for affine symmetric spaces. I, J. Funct. Anal, vol.81, issue.1, pp.126-159, 1988.

P. J. , Olver-Classical invariant theory, London Mathematical Society Student Texts, vol.44, 1999.

P. J. Olver and . Sanders, Transvectants, modular forms, and the Heisenberg algebra, Adv. in Appl. Math, vol.25, issue.3, pp.252-283, 2000.

T. Oshima and &. T. Matsuki, A description of discrete series for semisimple symmetric spaces, Group representations and systems of differential equations, vol.4, pp.331-390, 1982.

L. Peng and &. Zhang, Tensor products of holomorphic representations and bilinear differential operators, J. Funct. Anal, vol.210, issue.1, pp.171-192, 2004.

M. Pevzner, Analyse conforme sur les algèbres de Jordan, J. Aust. Math. Soc, vol.73, issue.2, pp.279-299, 2002.

M. Pevzner, Rankin-Cohen brackets and associativity, Lett. Math. Phys, vol.85, issue.2-3, pp.195-202, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00320445

J. Repka, Tensor products of holomorphic discrete series representations, Canad. J. Math, vol.31, issue.4, pp.836-844, 1979.

I. Satake, Algebraic structures of symmetric domains, Iwanami Shoten, vol.4, 1980.

W. Schmid, Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen, Invent. Math, vol.9, pp.61-80, 1969.

R. S. Strichartz, Harmonic analysis on hyperboloids, J. Functional Analysis, vol.12, pp.341-383, 1973.

A. Unterberger and &. Unterberger, Algebras of symbols and modular forms, J. Anal. Math, vol.68, pp.121-143, 1996.

D. Zagier, Modular forms and differential operators, Proc. Indian Acad. Sci. Math. Sci, vol.104, issue.1, pp.57-75, 1994.

G. Zhang, Rankin-Cohen brackets, transvectants and covariant differential operators, Math. Z, vol.264, issue.3, pp.513-519, 2010.

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