Bessel functions associated with representations of formally real Jordan algebras

DOI10.1016/0022-1236(87)90019-XzbMath0612.43009OpenAlexW2045164423MaRDI QIDQ1088109

Giancarlo Travaglini, Jacques Faraut

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90019-x

zbMATH Keywords

asymptotic formulageneralized Bessel functionsformally real Jordan algebraradial Fourier analysis

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Abstract harmonic analysis (43A99) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Other transforms and operators of Fourier type (43A32) Structure theory for Jordan algebras (17C10)

Related Items

Radon transform on real, complex, and quaternionic Grassmannians ⋮ Random continued fractions and inverse Gaussian distribution on a symmetric cone ⋮ Bessel convolutions on matrix cones: Algebraic properties and random walks ⋮ Representations of rank 2 Jordan algebras and associated zeta functions ⋮ On partial Fourier–Bessel operator in higher dimension ⋮ Operator-valued Bessel functions on Schrödinger-Fock spaces and Siegel domains of type II ⋮ Representations of Jordan algebras, Stiefel manifolds and spectral synthesis ⋮ Riesz potentials and integral geometry in the space of rectangular matrices ⋮ Limit theorems for radial random walks on p × q-matrices as p tends to infinity ⋮ A note on the Blaschke-Petkantschin formula, Riesz distributions, and Drury's identity ⋮ Bessel systems for Jordan algebras of rank 2 and 3

Cites Work

• Unnamed Item
• Bessel functions of matrix argument
• Le comportement à l'infini des fonctions de Bessel généralisées. I. (The behaviour at infinity of generalized Bessel functions.)
• Bessel functions and representation theory. II: Holomorphic discrete series and metaplectic representations
• Theta functions for the special, formally real Jordan algebras. (A remark on a paper of H. L. Resnikoff)
• Jordan algebras and their applications
• The stationary phase method and pseudodifferential operators

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