Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2001; 38(2): 421-435

Printed March 1, 2001

Copyright © The Korean Mathematical Society.

Integration formulas involving Fourier-Feynman transforms via a Fubini theorem

Timothy Huffman, David Skoug, and David Storvick

Northwestern College, University of Nebraska, University of Minnesota

Abstract

In this paper we use a general Fubini theorem established in [13] to obtain several Feynman integration formulas involving analytic Fourier-Feynman transforms. Included in these formulas is a general Parseval’s relation.

Keywords: analytic Feynman integral, Wiener integral, Fubini theorem, scale-invariant measurability

MSC numbers: 28C20