A MULTIPLE GENERALIZED FOURIER–FEYNMAN TRANSFORM VIA A ROTATION ON WIENER SPACE-Reference-Cited by-同舟云学术

A MULTIPLE GENERALIZED FOURIER–FEYNMAN TRANSFORM VIA A ROTATION ON WIENER SPACE

Published:2012-06-27 Issue:07 Volume:23 Page:1250068
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

CHOI JAE GIL¹,SKOUG DAVID²,CHANG SEUNG JUN¹

Affiliation:

1. Department of Mathematics, Dankook University, Cheonan 330-714, Korea

2. Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588-0130, USA

Abstract

In this paper we use a rotation property of Wiener measure to define a very general multiple Fourier–Feynman transform on Wiener space. We then proceed to establish its many algebraic properties as well as to establish several relationships between this generalized multiple transform and the corresponding generalized convolution product.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X12500681

Reference23 articles.

1. MultipleLpFourier–Feynman transforms on abstract Wiener space

2. Rotations in the product of two Wiener spaces

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