ANALYTIC FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION OF FUNCTIONALS IN A GENERALIZED FRESNEL CLASS

Abstract

Huffman, Park and Skoug introduced various results for the Lp analytic Fourier-Feynman transform and the convolution for functionals on classical Wiener space which belong to some Banach algebra S introduced by Cameron and Storvick. Also Chang, Kim and Yoo extended the above results to an abstract Wiener space for functionals in the Fresnel class F (B) which corresponds to S. Moreover they introduced the Lp analytic Fourier-Feynman transform for functionals on a product abstract Wiener space and then established the above results for functionals in the generalized Fresnel class FA1,A2 containing F (B).

This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.