Continuity of affine transformations of white noise test functionals and applications

DOI10.1016/0304-4149(92)90077-4zbMath0759.60040OpenAlexW2012057532MaRDI QIDQ1201760

Hui-Hsiung Kuo, Jia'an Yan, Juergen Potthoff

Publication date: 17 January 1993

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(92)90077-4

zbMATH Keywords

white noise analysisFréchet derivativeHida distributionSchwartz space of tempered distributionsWiener semigroup

Mathematics Subject Classification ID

Generalized stochastic processes (60G20)

Related Items (1)

Products and transforms of white-noise functionals (in general setting)

Cites Work

• Positive generalized white noise functionals
• Dirichlet forms and white noise analysis
• Calculus on Gaussian white noise. I
• Calculus on Gaussian white noise. II
• A characterization of Hida distributions
• Analytic version of test functionals, Fourier transform, and a characterization of measures in white noise calculus
• Gaussian measures in Banach spaces
• Potential theory on Hilbert space
• DIRICHLET FORMS IN TERMS OF WHITE NOISE ANALYSIS II: CLOSABILITY AND DIFFUSION PROCESSES
• A remark on the space of testing random variables in the white noise calculus
• The Feynman integrand as a Hida distribution
• Distributions and Their Hermite Expansions
• A Characterization of White Noise Test Functionals
• The Mathematics of Second Quantization
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Continuity of affine transformations of white noise test functionals and applications