Radial Bargmann representation for the Fock space of type B
From MaRDI portal
Publication:2795525
DOI10.1063/1.4939748zbMath1341.46035arXiv1512.08862OpenAlexW2219979941MaRDI QIDQ2795525
Nobuhiro Asai, Takahiro Hasebe, Marek Bożejko
Publication date: 21 March 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.08862
Gaussian processes (60G15) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25)
Related Items (4)
Segal-Bargmann transform: the \(q\)-deformation ⋮ Commutators on Fock spaces ⋮ Hopf Structure for the q-Lévy-Meixner Oscillator Algebra ⋮ Poisson type operators on the Fock space of type B
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Interpolations of Bargmann type measures
- The normal distribution is \(\boxplus\)-infinitely divisible
- Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems
- An example of a generalized Brownian motion
- Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.
- \(q\)-Gaussian processes: Non-commutative and classical aspects
- Free martingale polynomials.
- Free infinite divisibility for \(q\)-Gaussians
- On a class of free Lévy laws related to a regression problem
- Fock space associated to Coxeter groups of type B
- On the geometric sequences of reflection coefficients
- On a Hilbert space of analytic functions and an associated integral transform part I
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- THE CONSTRUCTION OF SUBORDINATED PROBABILITY MEASURES ON ℂ ASSOCIATED WITH THE JACOBI–SZEGÖ PARAMETERS
- Interacting Fock Spaces and Gaussianization of Probability Measures
- Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures
- A q deformation of the Gauss distribution
- Semigroups related to additive and multiplicative, free and Boolean convolutions
- Operators of the $q$-oscillator
- HILBERT SPACE OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE MODIFIED BESSEL FUNCTION AND RELATED ORTHOGONAL POLYNOMIALS
- Remarks on \(t\)-transformations of measures and convolutions
This page was built for publication: Radial Bargmann representation for the Fock space of type B
