Representations of Jordan algebras and special functions

• Autorzy: Giancarlo Travaglini
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

representations; Jordan algebras; Bessel functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1991
• Tom: 62
• Numer: 2
• Strony: 257-266

Daty

wydano

1991

otrzymano

1989-05-08

Twórcy

autor

Giancarlo Travaglini

• Dipartimento di Matematica, Università Degli Studi di Milano, via Saldini 50, 20133 Milano, Italy

Bibliografia

• [1] H. Braun and M. Koecher, Jordan-Algebren, Springer, Berlin, 1966.
• [2] J. Dorfmeister, Theta functions for the special formally real Jordan algebras, Invent. Math. 44 (1978), 103-108.
• [3] J. Faraut and G. Travaglini, Bessel functions associated with representations of formally real Jordan algebras, J. Funct. Anal. 71 (1987), 123-141.
• [4] 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.
• [5] K. McCrimmon, Jordan algebras and their applications, Bull. Amer. Math. Soc. 84 (1978), 612-627.
• [6] I. Satake, Algebraic structure of symmetric domains, Iwanami Shoten and Princeton Univ. Press, Princeton, N.J., 1980.