Generalized Cameron–Storvick theorem and its applications

DOI10.1080/10652469.2017.1346636zbMath1390.44010OpenAlexW2727651040MaRDI QIDQ5374294

Seung Jun Chang, Hyun Soo Chung

Publication date: 10 April 2018

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2017.1346636

zbMATH Keywords

Gaussian processfirst variationbounded linear operatorCameron-Storvick theoremconditional generalized integral transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral transforms of special functions (44A20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Other special functions (33E99)

Cites Work

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• A Cameron-Storvick theorem for analytic Feynman integrals on product abstract Wiener space and applications
• Fourier-Feynman transforms of unbounded functionals on abstract Wiener space
• A simple formula for conditional Wiener integrals with applications
• Scale-invariant measurability in Wiener space
• Integration formulas for the conditional transform involving the first variation
• Conditional integral transforms with related topics on function space
• RELATIONS AMONG THE FIRST VARIATION, THE CONVOLUTIONS AND THE GENERALIZED FOURIER-GAUSS TRANSFORMS
• Conditional Analytic Feynman Integrals and a Related Schrödinger Integral Equation
• Transforms on white noise functionals with their applications to Cauchy problems
• PARTS FORMULAS INVOLVING CONDITIONAL INTEGRAL TRANSFORMS ON FUNCTION SPACE

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