Distributions homogènes sur une algèbre de Jordan
Bulletin de la Société Mathématique de France (1997)
- Volume: 125, Issue: 4, page 493-528
- ISSN: 0037-9484
Access Full Article
topHow to cite
topBlind, Bruno. "Distributions homogènes sur une algèbre de Jordan." Bulletin de la Société Mathématique de France 125.4 (1997): 493-528. <http://eudml.org/doc/87773>.
@article{Blind1997,
author = {Blind, Bruno},
journal = {Bulletin de la Société Mathématique de France},
keywords = {homogeneous distributions; Jordan algebras; real symmetric matrices; complex Hermitian matrices; Fourier transforms},
language = {fre},
number = {4},
pages = {493-528},
publisher = {Société mathématique de France},
title = {Distributions homogènes sur une algèbre de Jordan},
url = {http://eudml.org/doc/87773},
volume = {125},
year = {1997},
}
TY - JOUR
AU - Blind, Bruno
TI - Distributions homogènes sur une algèbre de Jordan
JO - Bulletin de la Société Mathématique de France
PY - 1997
PB - Société mathématique de France
VL - 125
IS - 4
SP - 493
EP - 528
LA - fre
KW - homogeneous distributions; Jordan algebras; real symmetric matrices; complex Hermitian matrices; Fourier transforms
UR - http://eudml.org/doc/87773
ER -
References
top- [Br-Koe] BRAUN (H.), KOECHER (M.). — Jordan Algebra. — Springer Verlag, 1966. Zbl0145.26001
- [Ch] CHAABOUNI (A.). — Propriétés des intégrales zeta associées à un espace préhomogène. Relations entre les fonctions moyennes sur l'espace des matrices hermitiennes. — Thèse, Université de Tunis, 1986.
- [Fa-Ko] FARAUT (J.), KORANYI (A.). — Analysis on symmetric cones. — Clarendon Press, 1994. Zbl0841.43002MR98g:17031
- [Gi] GINDIKIN (S.G.). — Analysis in Homogeneous domains, Russian. Math. Survays, t. 19, 1964, p. 1-80. Zbl0144.08101MR30 #2167
- [Ge-Ch] GELFAND (I.M.), CHILOV (G.E.). — Les distributions I. — Dunod, 1962. Zbl0115.10102MR24 #A2235
- [Ka] KANEYUKI (S.). — On the causal structures of the Shilov boundaries of symmetric bounded domains. — Prospects in complex geometry, Proceedings, Katata/Kyoto, 1989, J. Noguchi, T. Ohsawa (eds), Lecture Notes in Math., 1468, Springer, p. 127-159. Zbl0755.32030
- [Mu] MURO (M.). — Invariant hyperfunctions on regular prehomogeneous vector spaces of commutative parabolic type, Tôhoku Math. J., t. 42, 1990, p. 163-193. Zbl0751.46027MR92d:32043
- [Ra] RAÏS (M.). — Distributions homogènes sur des espaces de matrices, Bull. Soc. Math. France, Mémoire, 30, 1972. Zbl0245.46045MR58 #22412
- [Ri-St] RICCI (F.), STEIN (E.). — Homogeneous distributions on space of Hermitean matrices, J. für die reine und ang. Math., t. 368, 1986, p. 142-164. Zbl0608.43006MR87k:46087
- [Sa1] SATAKE (I.). — Algebraic structures of symmetric domains. — Iwanami-Shoten and Princeton Univ. Press, 1980. Zbl0483.32017MR82i:32003
- [Sa2] SATAKE (I.). — On zeta functions associated with self dual homogeneous cones. — Reports on Symposium of Geometry and Automorphic Functions, Tohoku Univ., Sendai, 1988.
- [Sa-Fa] SATAKE (I.), FARAUT (J.). — The functional equation of zeta distributions associated with formally real Jordan algebras, Tôhoku Math. J., t. 36, 1984, p. 469-482. Zbl0566.10016MR86a:11019
- [Sa-Og] SATAKE (I.), OGATA (S.). — Zeta functions associated to cones and their special values, Advanced Studies in pure Math., t. 15, 1989, p. 1-27. Zbl0712.14009MR91c:11027
- [Sa-Sh] SATO (M.), SHINTANI (T.). — On zeta function associated with prehomogeneous vector spaces, Ann. of Math., t. 100, 1974, p. 131-170. Zbl0309.10014MR49 #8969
- [We] WEIL (A.). — Fonction zêta et distributions, Séminaire Bourbaki, t. 12, 1966. Zbl0226.12008
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.