Integral transforms, convolution products, and first variations
type: Item
instance of: scholarly article
title: Integral transforms, convolution products, and first variations
zbMATH Open document ID: 1104.28010
DOI: 10.1155/S0161171204305260
author: Bong Jin Kim
author: Byoung Soo Kim
author: David Skoug
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-18T00:00:00Z
full work available at URL: https://eudml.org/doc/52962
review text: \textit{Y.-J. Lee} [J. Funct. Anal. 47, 153--164 (1982; Zbl 0487.44006)] defined an integral transform of analytic functionals on abstract Wiener space. The Fourier-Wiener transform, the Fourier-Feynman transform, and the Gauss transform are special cases of the integral transform. \textit{K. S. Chang, B. S. Kim} and \textit{I. Yoo} [Numer. Funct. Anal. Optimization 21, No. 1/2, 97--105 (2000; Zbl 0948.28008)] established an interesting relationship between the integral transform and the convolution product for functionals on an abstract Wiener space. In this paper, the authors establish the various relationships that exist among the integral transform, the convolution product, and the first variation.
reviewed by: Kun Soo Chang
Mathematics Subject Classification ID: 28C20
zbMATH DE Number: 2168632
zbMATH Keywords: Fourier-Feynman transform
zbMATH Keywords: abstract Wiener space
MaRDI profile type: Publication
OpenAlex ID: W1997806513
description: scientific article; zbMATH DE number 2168632