Yeh-Fourier-Feynman transforms and convolutions associated with Gaussian processes

DOI10.1007/s43034-021-00128-7zbMath1478.46044OpenAlexW3160344823MaRDI QIDQ2033836

Jae Gil Choi

Publication date: 18 June 2021

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-021-00128-7

zbMATH Keywords

Gaussian processconvolution productFubini theoremgeneralized Yeh-Feynman integralgeneralized Yeh-Fourier-Feynman transform

Mathematics Subject Classification ID

Gaussian processes (60G15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Scale-invariant measurability in abstract Wiener spaces
• Notes on the analytic Yeh-Feynman integrable functionals
• A Kac-Feynman integral equation for conditional Wiener integrals
• An \(L_2\) analytic Fourier-Feynman transform
• Scale-invariant measurability in Wiener space
• An \(L_p\) analytic Fourier-Feynman transform
• Relationships among the first variation, the convolution product, and the Fourier-Feynman transform
• Generalized Feynman integrals via conditional Feynman integrals
• Generalized conditional Yeh-Wiener integrals and a Wiener integral equation
• Generalized transforms and convolutions
• Convolution and Fourier-Feynman transforms
• Analytic Fourier-Feynman transforms and convolution products associated with Gaussian processes on Wiener space
• A survey of results involving transforms and convolutions in function space
• Notes on random functions
• Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals
• The Ilstow and Feynman integrals
• TRANSFORMS AND CONVOLUTIONS ON FUNCTION SPACE
• Absolutely Continuous Functions of Two Variables and Well-Bounded Operators
• The Feynman integral of quadratic potentials depending on n time variables
• A Note on Paley-Wiener-Zygmund Stochastic Integrals
• An Operator-Valued Yeh-Wiener Integral and a Kac-Feynman Wiener Integral Equation
• Analytic Fourier-Feynman Transforms and Convolution
• Measure Theory
• Wiener Measure in a Space of Functions of Two Variables
• The behavior of measure and measurability under change of scale in Wiener space

This page was built for publication: Yeh-Fourier-Feynman transforms and convolutions associated with Gaussian processes