Interpolations of Bargmann Type Measures-Reference-Cited by-同舟云学术

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Interpolations of Bargmann Type Measures

Published:2016-09-01 Issue:3 Volume:49 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:
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Author:

Asai Nobuhiro,Krystek Anna Dorota,Wojakowski Łukasz Jan

Abstract

AbstractIn this paper, we shall discuss Bargmann type measures on C for several classes of probability measures on R. The unified interpolation expressions include not only the classical Bargmann measure and its q-deformation, but also their t-deformations and dilations. As a special case, we get conditions on existence and an explicit form of the Bargmann representation for the free Meixner family of probability measures.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2016-0025/pdf

Reference9 articles.

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2. van Leeuwen A q deformation of the Gauss distribution;Maassen;Math Phys,1995

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4. q - Gaussian processes : Non - Commutative and classical aspects;Bożejko;Math Phys,1997

5. On a Hilbert space of analytic functions and an associated integral transform Comm Pure;Bargmann;Appl Math,1961

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1. On Generalized t-Transformation of Free Convolution;Symmetry;2024-03-19

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