Generalized integral transforms and convolution products on function space

DOI10.1080/10652469.2010.535798zbMath1229.60096OpenAlexW2094911643MaRDI QIDQ5894293

Tuan, V. K., Hyun Soo Chung

Publication date: 12 October 2011

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

Full work available at URL: https://doi.org/10.1080/10652469.2010.535798

zbMATH Keywords

generalized convolution productgeneralized integral transforminverse integral transform Wiener space

Mathematics Subject Classification ID

Brownian motion (60J65) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (10)

Analytic Feynman integrals of functionals in a Banach algebra involving the first variation ⋮ Unifying discrete and integral transforms through the use of a Banach algebra ⋮ A MULTIPLE GENERALIZED FOURIER–FEYNMAN TRANSFORM VIA A ROTATION ON WIENER SPACE ⋮ Some applications of the spectral theory for the integral transform involving the spectral representation ⋮ A rotation on Wiener space with applications ⋮ New expressions of the modified generalized integral transform via the translation theorem with applications ⋮ Unnamed Item ⋮ 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

• Unnamed Item
• Integral transforms of functionals in \(L^{2}(C_{a,b}[0,T)\)]
• Integral transforms of analytic functions on abstract Wiener spaces
• Scale-invariant measurability in Wiener space
• Generalized Feynman integrals via conditional Feynman integrals
• Generalized transforms and convolutions
• Integral transforms, convolution products, and first variations
• Integral transforms of functionals in \(L_2(C_0[0,T)\)]
• Generalized Feynman integrals: The \({\mathcal L} (L_ 2,L_ 2)\) theory
• Fourier-Wiener transforms of functionals belonging to \(L_2\) over the space \(C\)
• Fourier-Wiener transforms of analytic functionals
• Integral transform and convolution of analytic functionals on abstract Wiener space
• Relationships involving generalized fourier–feynman transform, convolution and first variation
• Convolution products, integral transforms and inverse integral transforms of functionals inL₂(C₀[0,T)]

This page was built for publication: Generalized integral transforms and convolution products on function space