ANALYTIC CHARACTERIZATION OF ONE-MODE INTERACTING FOCK SPACE
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Publication:4460455
DOI10.1142/S021902570100053XzbMath1042.81045MaRDI QIDQ4460455
Publication date: 18 May 2004
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)
Related Items (8)
Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures ⋮ Hopf Structure for the q-Lévy-Meixner Oscillator Algebra ⋮ Coherent states attached to the quantum disc algebra and their associated polynomials ⋮ HILBERT SPACE OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE MODIFIED BESSEL FUNCTION AND RELATED ORTHOGONAL POLYNOMIALS ⋮ AN APPLICATION OF THE SEGAL–BARGMANN TRANSFORM TO THE CHARACTERIZATION OF LÉVY WHITE NOISE MEASURES ⋮ PROBABILITY MEASURES ON ℂ ARISING FROM THE JACOBI–SZEGÖ PARAMETERS FOR CONTINUOUS DUAL HAHN POLYNOMIALS ⋮ THE CONSTRUCTION OF SUBORDINATED PROBABILITY MEASURES ON ℂ ASSOCIATED WITH THE JACOBI–SZEGÖ PARAMETERS ⋮ GENERATING FUNCTIONS OF EXPONENTIAL TYPE FOR ORTHOGONAL POLYNOMIALS
Cites Work
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- On the interacting Free Fock space and the deformed Wigner law
- ROLES OF LOG-CONCAVITY, LOG-CONVEXITY, AND GROWTH ORDER IN WHITE NOISE ANALYSIS
- Harmonic analysis with respect to heat kernel measure
- A q deformation of the Gauss distribution
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