Keywords
- Discrete Series
- Nous Allons
- Nous Supposerons
- Produit Scalaire
- Vectoriel Versus
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
BAILY, W., BOREL, A.: Compactification of arithmetic quotients of bounded symmetric domains. Annals of Math. (2) 84, 442–528 (1966).
BERNAT, P., et al.: Représentations des groupes de Lie résolubles. Paris: Dunod 1972.
DIXMIER, J.: Algèbres enveloppantes. Paris: Gauthier-Villars 1974.
GINDIKIN, S.G.: Analysis on homogeneous domains. Russian Math. Surveys 19, 1–89 (1964).
GREENFIELD, S.: Cauchy-Riemann equations in several variables. Am. S.N.S. Pisa (3) 22, 275–314 (1968).
GROSS, K., KUNZE, R.: “Generalized Bessel transforms and Unitary representations”, Harmonic analysis on homogeneous spaces, Proceedings of Symposia in Pure Mathematics, vol XXVI, A.M.S, 1973.
HARISH-CHANDRA: Representations of semi-simple Lie Groups, IV. Amer. J. Math, 77, 743–777 (1955) V. Amer. J. Math 78, 1–41 (1956) VI. Amer. J. Math 78, 564–628 (1956).
KNAPP, A., OKAMOTO, K.: Limits of holomorphic Discrete Series. J. of Funct. Anal. 9, 375–409 (1972)
KCRANYI, A., STEIN, E.: H2 spaces of generalized Half Planes. Studia Mathematica 44, 379–388 (1972)
KCRANYI, A., WOLF, J.A.: Realization of Hermitian symmetric spaces as generalized half-planes. Ann. of Math. 81, 265–288 (1965).
KUNZE, R.: On the irreductibility of certain multiplier representations. Bull. Amer. Soc. 68, 93–94 (1962).
KUNZE, R.: Positive Definite Operator-Valued Kernels and Unitary Representations.
MOORE, C.C.: Compactification of symmetric spaces II. Amer. J. Math. 86, 358–378 (1964).
ROSSI, H., VERGNE, M.: Representations of certain solvable Lie groups on Hilbert spaces of holomorphic functions and the application to the holomorphic discrete series of a semi-simple Lie group. J. Funct. Anal. 13(4), 324–389 (1973).
WALLACH, N.: Induced Representations of Lie algebras, II Proceedings Amer. Math. Soc. 21, 161–166 (1969).
WALLACH, N.: Analytic continuation of the discrete series (I), à paraitre.
WOLF, J.A.: Fine structure of Hermitian Symmetric spaces. “Symmetric Spaces”. New-York: Marcel Dekker 1972.
WOLF, J.A., KORANYI, A.: Generalized Cayley transformations of bounded symmetric domains. Amer. J. Math. 87, 899–939 (1965).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1975 Springer-Verlag
About this paper
Cite this paper
Vergne, M., Rossi, H. (1975). Continuation analytique de la série discréte holomorphe. In: Carmona, J., Dixmier, J., Vergne, M. (eds) Non-Commutative Harmonic Analysis. Lecture Notes in Mathematics, vol 466. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082208
Download citation
DOI: https://doi.org/10.1007/BFb0082208
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07183-9
Online ISBN: 978-3-540-37524-1
eBook Packages: Springer Book Archive
