Properties of delta functions of a class of observables on white noise functionals

DOI10.1016/j.jmaa.2006.07.024zbMath1154.60339OpenAlexW2019497733MaRDI QIDQ1001248

Cai-shi Wang

Publication date: 17 February 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.024

zbMATH Keywords

white noise analysisDonsker's delta functiondelta function of observable

Mathematics Subject Classification ID

White noise theory (60H40) Distributions on infinite-dimensional spaces (46F25)

Cites Work

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• Quantum Ito's formula and stochastic evolutions
• A characterization of Hida distributions
• A characterization theorem for operators on white noise functionals
• An analytic characterization of symbols of operators on white noise functionals
• White noise calculus and Fock space
• Spaces of white noise distributions: Constructions, descriptions, applications. I
• $\delta $-function of an operator: A white noise approach
• A NEW IDEA TO DEFINE THE δ-FUNCTION OF AN OBSERVABLE IN THE CONTEXT OF WHITE NOISE ANALYSIS

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