Generalized weighted number operators on functionals of discrete-time normal martingales

DOI10.1080/17442508.2022.2150083zbMath1525.60089arXiv2211.09289MaRDI QIDQ6164119

Unnamed Author, Lu Zhang, Lixia Zhang, Cai-shi Wang

Publication date: 27 July 2023

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.09289

zbMATH Keywords

commutation relationsGel'fand triplediscrete-time normal martingalegeneralized functionalgeneralized annihilation and creation operatorgeneralized weighted number operator

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) White noise theory (60H40) Quantum stochastic calculus (81S25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Berry-Esseen bounds and multivariate limit theorems for functionals of Rademacher sequences
• Characterization theorems for generalized functionals of discrete-time normal martingale
• Stein's method and stochastic analysis of Rademacher functionals
• Convergence theorems for generalized functional sequences of discrete-time normal martingales
• Stochastic analysis of Bernoulli processes
• Quantum dynamical semigroups and applications. (Based on Lectures given at the 20th Symposium on Theoretical Chemistry held 1984 in Emmetten, Switzerland)
• The Segal-Bargmann transform for Lévy functionals
• White noise calculus and Fock space
• White noise analysis for Lévy processes.
• Clark-Ocone formula for generalized functionals of discrete-time normal noises
• Generalized Poisson functionals
• Non-Gaussian infinite dimensional analysis
• A characterization of operators on functionals of discrete-time normal martingales
• FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE
• Pascal white noise calculus
• Weighted number operators on Bernoulli functionals and quantum exclusion semigroups
• Discrete-time quantum Bernoulli noises
• Equivalence of topologies and Borel fields for countably-Hilbert spaces

This page was built for publication: Generalized weighted number operators on functionals of discrete-time normal martingales