Convolution and the Fourier-Wiener transform on abstract Wiener space

DOI10.1216/rmjm/1181072163zbMath0855.28006OpenAlexW2022324229MaRDI QIDQ1915740

Il Yoo

Publication date: 3 February 1997

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072163

zbMATH Keywords

convolutionabstract Wiener spacefunctionalsFourier-Wiener transform

Mathematics Subject Classification ID

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

Related Items (16)

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Cites Work

• Unnamed Item
• Unnamed Item
• Integral transforms of analytic functions on abstract Wiener spaces
• Gaussian measures in Banach spaces
• An \(L_2\) analytic Fourier-Feynman transform
• An \(L_p\) analytic Fourier-Feynman transform
• Convolution in Fourier-Wiener transform
• Abstract Wiener spaces and applications to analysis
• Some examples of Fourier-Wiener transforms of analytic functionals
• Fourier-Wiener transforms of analytic functionals
• Applications of the Fourier-Wiener Transform to Differential Equations on Infinite Dimensional Spaces. I
• Measurability of Norm Proved by Haar Functions

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