Classes of Fourier–Feynman transforms on Wiener space
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DOI: 10.1016/j.jmaa.2016.12.052
Abstract: Abstract In this article we examine several classes of analytic Fourier–Feynman transforms on Wiener space. The classes investigated in this article form commutative monoids (and hence semigroups). read more here.
Keywords: space classes; feynman transforms; transforms wiener; fourier feynman ... See more keywords
A REPRESENTATION FOR THE INVERSE GENERALISED FOURIER–FEYNMAN TRANSFORM VIA CONVOLUTION PRODUCT ON FUNCTION SPACE
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DOI: 10.1017/s0004972716001039
Abstract: We study a representation for the inverse transform of the generalised Fourier–Feynman transform on the function space $C_{a,b}[0,T]$ which is induced by a generalised Brownian motion process. To do this, we define a transform via… read more here.
Keywords: space; feynman transform; inverse; fourier feynman ... See more keywords
Analytic Fourier--Feynman transforms and convolution type operations associated with Gaussian processes on Wiener space
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DOI: 10.1215/17358787-2017-0017
Abstract: In this paper we introduce the concept of a convolution type operation of functionals on Wiener space. It contains several kinds of the concepts of convolution products on Wiener space, which have been studied by… read more here.
Keywords: feynman transforms; convolution; fourier feynman; analytic fourier ... See more keywords