Convolution products, integral transforms and inverse integral transforms of functionals inL2(C0[0,T])
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Publication:5851715
DOI10.1080/10652460903063382zbMath1202.28015OpenAlexW2123931634MaRDI QIDQ5851715
Seung Jun Chang, David Skoug, Hyun Soo Chung
Publication date: 25 January 2010
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652460903063382
Brownian motion (60J65) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
Related Items (19)
Analytic Feynman integrals of functionals in a Banach algebra involving the first variation ⋮ A sequential analytic Feynman integral of functionals inL2(C0[0, T)] ⋮ Generalized conditional transform with respect to the Gaussian process on function space ⋮ Generalized integral transforms with the translation operator on function space ⋮ Parts formulas involving the Fourier-Feynman transform associated with Gaussian paths on Wiener space ⋮ Some applications of the spectral theory for the integral transform involving the spectral representation ⋮ Some basic relationships among transforms, convolution products, first variations and inverse transforms ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A new expression for the transform with respect to the Gaussian process ⋮ Relationships Involving Transforms and Convolutions Via the Translation Theorem ⋮ A FUBINI THEOREM FOR INTEGRAL TRANSFORMS AND CONVOLUTION PRODUCTS ⋮ Some formulas for the generalized analytic Feynman integrals on the Wiener space ⋮ Sequential generalized transforms on function space ⋮ Generalized integral transforms and convolution products on function space ⋮ A recurrence formula with respect to the Cameron–Storvick type theorem of the 𝒯-transform ⋮ Series expansions of the transform with respect to the Gaussian process ⋮ Double integral transforms and double convolution products of functionals on abstract Wiener space
Cites Work
- Integral transforms of analytic functions on abstract Wiener spaces
- An \(L_2\) analytic Fourier-Feynman transform
- Relationships among transforms, convolutions, and first variations
- Relationships among the first variation, the convolution product, and the Fourier-Feynman transform
- Convolution and Fourier-Feynman transforms
- Integral transforms, convolution products, and first variations
- Integral transforms of functionals in \(L_2(C_0[0,T)\)]
- Convolution and the Fourier-Wiener transform on abstract Wiener space
- Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals
- The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
- Fourier-Wiener transforms of functionals belonging to \(L_2\) over the space \(C\)
- Analytic Fourier-Feynman Transforms and Convolution
- Integral transform and convolution of analytic functionals on abstract Wiener space
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