WHITE NOISE LÉVY–MEIXNER PROCESSES THROUGH A TRANSFER PRINCIPAL FROM ONE-MODE TO ONE-MODE TYPE INTERACTING FOCK SPACES

DOI10.1142/S0219025710004103zbMath1225.60121OpenAlexW2159294677MaRDI QIDQ3058123

Abdessatar Barhoumi, Luigi Accardi, Anis Riahi

Publication date: 18 November 2010

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

Full work available at URL: https://doi.org/10.1142/s0219025710004103

zbMATH Keywords

generating functionJacobi fieldspectral measurechaotic representationinteracting Fock spaceDonsker's deltaLévy-Meixner white noise process

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Brownian motion (60J65) Probabilistic potential theory (60J45) White noise theory (60H40)

Related Items (5)

Hopf Structure for the q-Lévy-Meixner Oscillator Algebra ⋮ Noncommutative quantum decomposition of Gegenbauer white noise process ⋮ PROBABILITY MEASURES ON ℂ ARISING FROM THE JACOBI–SZEGÖ PARAMETERS FOR CONTINUOUS DUAL HAHN POLYNOMIALS ⋮ THE BRENKE TYPE GENERATING FUNCTIONS AND EXPLICIT FORMS OF MRM-TRIPLES BY MEANS OF Q-HYPERGEOMETRIC SERIES ⋮ THE QUANTUM DECOMPOSITION OF RANDOM VARIABLES WITHOUT MOMENTS

Cites Work

• When is a field a Jacobi-field ? A characterization of states on tensor algebras
• White noise calculus and Fock space
• Commutative Jacobi fields in Fock space
• White noise analysis for Lévy processes.
• Analysis of generalized Lévy white noise functionals
• Some discrete multiple orthogonal polynomials
• Polynomials of Meixner's type in infinite dimensions: Jacobi fields and orthogonality measures
• The Donsker delta function of a Lévy process with application to chaos expansion of local time
• The Wigner semi-circle law in quantum electro dynamics
• A duality theorem between spaces of holomorphic functions of exponential growth
• Lévy white noise calculus based on interaction exponents
• THE CONSTRUCTION OF THE CHAOTIC REPRESENTATION FOR THE GAMMA FIELD
• ORTHOGONAL DECOMPOSITIONS FOR LÉVY PROCESSES WITH AN APPLICATION TO THE GAMMA, PASCAL, AND MEIXNER PROCESSES
• UNITARY REPRESENTATIONS OF THE WITT AND sl(2, ℝ)-ALGEBRAS THROUGH RENORMALIZED POWERS OF THE QUANTUM PASCAL WHITE NOISE
• Nuclear Realization of Virasoro–Zamolodchikov-w_∞⋆-Lie Algebras Through the Renormalized Higher Powers of Quantum Meixner White Noise
• Calculus on Gaussian and Poisson white noises
• Analysis on Poisson and Gamma Spaces
• Interacting Fock Spaces and Gaussianization of Probability Measures
• GENERATING FUNCTIONS OF EXPONENTIAL TYPE FOR ORTHOGONAL POLYNOMIALS
• Donsker's delta function of Lévy process

This page was built for publication: WHITE NOISE LÉVY–MEIXNER PROCESSES THROUGH A TRANSFER PRINCIPAL FROM ONE-MODE TO ONE-MODE TYPE INTERACTING FOCK SPACES