Relationships among transforms, convolutions, and first variations

DOI10.1155/S0161171299221916zbMath1030.28007OpenAlexW2008180008MaRDI QIDQ1283422

Jung Won Ko, Jeong Gyoo Kim, Chull Park, David Skoug

Publication date: 18 February 2004

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50540

zbMATH Keywords

Paley-Wiener-Zygmund stochastic integralFourier-Feynman transformconvolution productWiener spacefirst variation for functionals

Mathematics Subject Classification ID

Stochastic integrals (60H05) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Distributions on infinite-dimensional spaces (46F25)

Related Items (9)

A MULTIPLE GENERALIZED FOURIER–FEYNMAN TRANSFORM VIA A ROTATION ON WIENER SPACE ⋮ Parts formulas involving the Fourier-Feynman transform associated with Gaussian paths on Wiener space ⋮ Behaviour of the first variation under a Fourier-Feynman transform for cylinder functions on abstract Wiener spaces ⋮ Generalized convolution product for an integral transform on a Wiener space ⋮ A survey of results involving transforms and convolutions in function space ⋮ Generalized Fourier-Feynman transforms, convolution products, and first variations on function space ⋮ Unnamed Item ⋮ Convolution products, integral transforms and inverse integral transforms of functionals inL₂(C₀[0,T)] ⋮ Parts formulas involving conditional Feynman integrals

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