ArticleOriginal scientific text
Title
Representations of Jordan algebras and special functions
Authors 1
Affiliations
- Dipartimento di Matematica, Università Degli Studi di Milano, via Saldini 50, 20133 Milano, Italy
Abstract
This paper is concerned with the action of a special formally real Jordan algebra U on an Euclidean space E, with the decomposition of E under this action and with an application of this decomposition to the study of Bessel functions on the self-adjoint homogeneous cone associated to U.
Keywords
representations, Jordan algebras, Bessel functions
Bibliography
- H. Braun and M. Koecher, Jordan-Algebren, Springer, Berlin, 1966.
- J. Dorfmeister, Theta functions for the special formally real Jordan algebras, Invent. Math. 44 (1978), 103-108.
- J. Faraut and G. Travaglini, Bessel functions associated with representations of formally real Jordan algebras, J. Funct. Anal. 71 (1987), 123-141.
- M. V. Fedoryuk, The stationary phase and pseudodifferential operators, Uspekhi Mat. Nauk 26 (1) (1971), 67-112; English transl.: Russian Math. Surveys 26 (1) (1971), 65-115.
- K. McCrimmon, Jordan algebras and their applications, Bull. Amer. Math. Soc. 84 (1978), 612-627.
- I. Satake, Algebraic structure of symmetric domains, Iwanami Shoten and Princeton Univ. Press, Princeton, N.J., 1980.
Pages:
257-266
Main language of publication
English
Received
1989-05-08
Published
1991
Exact and natural sciences