Analytic Fourier-Feynman Transforms And Convolution

Authors

Timothy Huffman, Northwestern College, Iowa
Chull Park, Miami University
David Skoug, University of Nebraska-LincolnFollow

Document Type

Article

Date of this Version

1995

Citation

Transactions Of The American Mathematical Society Volume 347, Number 2, February 1995

Comments

Copyright 1995 American Mathematical Society

Abstract

In this paper we develop an L_p Fourier-Feynman theory for a class of functionals on Wiener space of the form F( x )= f (alJd x , . . . :J,l α_ndx ) . We then define a convolution product for functionals on Wiener space and show that the Fourier-Feynman transform of the convolution product is a product of Fourier-Feynman transforms.