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A survey of results involving transforms and convolutions in function space. (English) Zbl 1172.42308

Summary: In this paper we survey various results involving Fourier-Wiener transforms, Fourier-Feynman transforms, integral transforms and convolution products of functionals over function space that have been established since Cameron and Martin first introduced Fourier-Wiener transforms in 1945.

MSC:

42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
60E10 Characteristic functions; other transforms
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