Weighted Laplace transforms and Bessel functions on Hermitian symmetric spaces
DOI10.1090/S0002-9947-99-02461-7zbMath0933.22022MaRDI QIDQ4257580
Publication date: 31 August 1999
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Hermitian symmetric spacesBessel functionJordan pairholomorphic discrete seriesSiegel domainsholomorphic representationSiegel domain of type IIPlancherel-type theorem\(\pi\)-weighted Laplace transform
Harmonic analysis on homogeneous spaces (43A85) Gamma, beta and polygamma functions (33B15) Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Jordan structures associated with other structures (17C50) Associated groups, automorphisms of Jordan algebras (17C30)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bessel functions of matrix argument
- Fonctions de Bessel sur une algèbre de Jordan. (Bessel functions on a Jordan algebra)
- Operator-valued Bessel functions on Schrödinger-Fock spaces and Siegel domains of type II
- Operator-valued Bessel functions, holomorphic discrete series, and harmonic representations of \(U(p,q)\)
- Jordan pairs
- Bessel functions and representation theory. I
- Analytic continuation of the holomorphic discrete series of a semi-simple Lie group
- Bessel functions and representation theory. II: Holomorphic discrete series and metaplectic representations
- On the Segal-Shale-Weil representations and harmonic polynomials
- Bessel functions on quaternionic Siegel domains
- Representations of certain solvable Lie groups on Hilbert spaces of holomorphic functions and the application to the holomorphic discrete series of a semisimple Lie group
- Homogeneous bounded domains and Siegel domains
- On automorphisms of Siegel domains
- Function spaces and reproducing kernels on bounded symmetric domains
- Special Functions of Matrix Argument. I: Algebraic Induction, Zonal Polynomials, and Hypergeometric Functions
- Transcending Classical Invariant Theory
- Lectures on Fourier Integrals. (AM-42)
- On the irreducibility of certain multiplier representations
- Remarks on Classical Invariant Theory
- The Analytic Continuation of the Discrete Series.I
- On algebraic groups defined by Jordan pairs
- Quasisymmetric Siegel Domains and the Automorphisms of Homogeneous Siegel Domains
- Homogeneous Siegel domains
- Linear Symmetries of Free Boson Fields
- Transforms for Operators and Symplectic Automorphisms over a Locally Compact Abelian Group.
- Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
- A note on generalized elliptic integral
This page was built for publication: Weighted Laplace transforms and Bessel functions on Hermitian symmetric spaces
