J. Korean Math. Soc. 2001; 38(1): 61-76
Printed January 1, 2001
Copyright © The Korean Mathematical Society.
Chull Park and David Skoug
Miami University and University of Nebraska
In this paper we define the concept of a conditional Fourier-Feynman transform and a conditional convolution product and obtain several interesting relationships between them. In particular we show that the conditional transform of the conditional convolution product is the product of conditional transforms, and that the conditional convolution product of conditional transforms is the conditional transform of the product of the functionals.
Keywords: analytic Feynman integral, Wiener integral, conditional Fourier-Feynman transform, conditional convolution product
MSC numbers: 28C20, 60J65
2001; 38(2): 409-420
2001; 38(2): 421-435
2004; 41(2): 265-294
2006; 43(5): 967-990
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