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): 409-420

Printed March 1, 2001

Copyright © The Korean Mathematical Society.

A Fubini theorem for analytic Feynman integrals with applications

Timothy Huffman, David Skoug, and David Storvick

Northwestern College, University of Nebraska, University of Minnesota

Abstract

In this paper we establish a Fubini theorem for various analytic Wiener and Feynman integrals. We then proceed to obtain several integration formulas as corollaries.

Keywords: analytic Feynman integral, Wiener integral, analytic Fourier-Feynman transform, convolution product, Fubini theorem, scale-invariant measurability, Parseval's relation

MSC numbers: 28C20, 60J65