An extended anyon Fock space and noncommutative Meixner-type orthogonal polynomials in infinite dimensions

DOI10.1070/RM2015v070n05ABEH004965zbMath1351.46062arXiv1309.6784OpenAlexW2964266147MaRDI QIDQ2994723

Marek Bożejko, I. V. Rodionova, Eugene W. Lytvynov

Publication date: 3 August 2016

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6784

zbMATH Keywords

Jacobi field gamma process Lévy white noise anyon commutation relations anyon Fock space Meixner class of orthogonal polynomials

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) White noise theory (60H40) Noncommutative probability and statistics (46L53)

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