Jacobi polynomials and associated reproducing kernel Hilbert spaces

DOI10.1016/j.jmaa.2011.11.056zbMath1242.33019OpenAlexW2052039190MaRDI QIDQ663688

Shigeru Watanabe

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.11.056

zbMATH Keywords

generating functionunitary operatorreproducing kernel Hilbert spaceJacobi polynomial

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (1)

Reproducing kernel Hilbert space vs. frame estimates

Cites Work

• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• Symmetric pairs, Gelfand pairs and pairs such that generating functions of zonal spherical functions define unitary operators -- the case of the compact type
• Hilbert spaces of analytic functions and the Gegenbauer polynomials
• Generating functions of the Jacobi polynomials and related Hilbert spaces of analytic functions
• On linear functional operations and the moment problem for a finite interval in one or several dimensions
• On a Hilbert space of analytic functions and an associated integral transform part I
• Ten problems in Hilbert space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Jacobi polynomials and associated reproducing kernel Hilbert spaces