A FUBINI THEOREM FOR INTEGRAL TRANSFORMS AND CONVOLUTION PRODUCTS

DOI10.1142/S0129167X13500249zbMath1279.60107OpenAlexW1993140102MaRDI QIDQ4923308

Hyun Soo Chung, Seung Jun Chang, David Skoug

Publication date: 6 June 2013

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

Full work available at URL: https://doi.org/10.1142/s0129167x13500249

zbMATH Keywords

integral transformconvolution productFubini theoremWiener space

Mathematics Subject Classification ID

Brownian motion (60J65) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (8)

Analytic Feynman integrals of functionals in a Banach algebra involving the first variation ⋮ Generalized integral transforms with the translation operator on function space ⋮ Some applications of the spectral theory for the integral transform involving the spectral representation ⋮ New expressions of the modified generalized integral transform via the translation theorem with applications ⋮ Unnamed Item ⋮ A new expression for the transform with respect to the Gaussian process ⋮ Relationships Involving Transforms and Convolutions Via the Translation Theorem ⋮ Fundamental formulas for modified generalized integral transforms

Cites Work

• Integral transforms of analytic functions on abstract Wiener spaces
• An \(L_2\) analytic Fourier-Feynman transform
• Scale-invariant measurability in Wiener space
• Convolution and Fourier-Feynman transforms
• Integral transforms, convolution products, and first variations
• Integral transforms of functionals in \(L_2(C_0[0,T)\)]
• Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals
• Fourier-Wiener transforms of functionals belonging to \(L_2\) over the space \(C\)
• Some examples of Fourier-Wiener transforms of analytic functionals
• Fourier-Wiener transforms of analytic functionals
• Integral transform and convolution of analytic functionals on abstract Wiener space
• Convolution products, integral transforms and inverse integral transforms of functionals inL₂(C₀[0,T)]

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