Distributions homogènes sur une algèbre de Jordan

DOI10.24033/bsmf.2315zbMath0948.43005OpenAlexW2523168681MaRDI QIDQ4210746

Bruno Blind

Publication date: 5 June 2000

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1997__125_4_493_0

zbMATH Keywords

Fourier transformsJordan algebrasreal symmetric matriceshomogeneous distributionscomplex Hermitian matrices

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Other Dirichlet series and zeta functions (11M41) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Jordan algebras (algebras, triples and pairs) (17C99)

Related Items

Crofton formulas and indefinite signature, Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds, Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and Pfaffians, Singular invariant hyperfunctions on the space of real symmetric matrices, Homogeneous vector distributions on a Jordan algebra, Invariant hyperfunction solutions to invariant differential equations on the space of real symmetric matrices

Cites Work

• The functional equation of zeta distributions associated with formally real Jordan algebras
• On zeta functions associated with prehomogeneous vector spaces
• Invariant hyperfunctions on regular prehomogeneous vector spaces of commutative parabolic type
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