THE CONSTRUCTION OF SUBORDINATED PROBABILITY MEASURES ON ℂ ASSOCIATED WITH THE JACOBI–SZEGÖ PARAMETERS

DOI10.1142/S0219025709003823zbMath1200.46058MaRDI QIDQ3643564

Nobuhiro Asai

Publication date: 9 November 2009

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

Mellin transformsubordinationJacobi-Szegő parameters of orthogonal polynomials

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Noncommutative probability and statistics (46L53)

Related Items (2)

Radial Bargmann representation for the Fock space of type B ⋮ PROBABILITY MEASURES ON ℂ ARISING FROM THE JACOBI–SZEGÖ PARAMETERS FOR CONTINUOUS DUAL HAHN POLYNOMIALS

Cites Work

• Unnamed Item
• A direct approach to the Mellin transform
• Some Hypergeometric Orthogonal Polynomials
• Interacting Fock Spaces and Gaussianization of Probability Measures
• ANALYTIC CHARACTERIZATION OF ONE-MODE INTERACTING FOCK SPACE
• Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures
• HILBERT SPACE OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE MODIFIED BESSEL FUNCTION AND RELATED ORTHOGONAL POLYNOMIALS

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