scientific article; zbMATH DE number 1460698

zbMath1045.22017MaRDI QIDQ4485780

Bertram Kostant

Publication date: 18 June 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (10)

The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula ⋮ Unnamed Item ⋮ On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential ⋮ On the integrability of a representation of \(\mathfrak{sl}(2,\mathbb R)\) ⋮ Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups ⋮ Differential recursion relations for Laguerre functions on symmetric cones. ⋮ Differential recursion relations for Laguerre functions on Hermitian matrices ⋮ Generalized Fourier transforms \(\mathcal F_{k,a}\) ⋮ Differential equations and recursion relations for Laguerre functions on symmetric cones ⋮ Laguerre semigroup and Dunkl operators

Cites Work

• Bessel functions of matrix argument
• Analytic vectors
• Analytic continuation of the holomorphic discrete series of a semi-simple Lie group
• On Whittaker vectors and representation theory
• The Plancherel formula for the universal covering group of SL(R, 2)
• A class of operator algebras which are determined by groups
• The Analytic Continuation of the Discrete Series.I
• Summation of a Series of Polynomials of Laguerre
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