Hilbert spaces of analytic functions and the Gegenbauer polynomials

DOI10.3836/TJM/1270132271zbMath0735.46012OpenAlexW2085509968MaRDI QIDQ1174570

Shigeru Watanabe

Publication date: 25 June 1992

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270132271

zbMATH Keywords

integral operatorclassical orthogonal polynomialsHermite polynomialsFock type Hilbert space of analytic functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear operators on function spaces (general) (47B38) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (4)

Symmetric pairs, Gelfand pairs and pairs such that generating functions of zonal spherical functions define unitary operators -- the case of the compact type ⋮ Jacobi polynomials and associated reproducing kernel Hilbert spaces ⋮ Hilbert spaces of analytic functions associated with generating functions of spherical functions on \(U(n)/ U(n-1)\) ⋮ Generating functions of the Jacobi polynomials and related Hilbert spaces of analytic functions

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