Change of Scale Formulas for Wiener Integrals Related to Fourier-Feynman Transform and Convolution-Reference-Cited by-同舟云学术

Change of Scale Formulas for Wiener Integrals Related to Fourier-Feynman Transform and Convolution

Published:2014 Issue: Volume:2014 Page:1-7
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Kim Bong Jin¹,Kim Byoung Soo²,Yoo Il³

Affiliation:

1. Department of Mathematics, Daejin University, Pocheon 487-711, Republic of Korea

2. School of Liberal Arts, Seoul National University of Science and Technology, Seoul 139-743, Republic of Korea

3. Department of Mathematics, Yonsei University, Wonju 220-710, Republic of Korea

Abstract

Cameron and Storvick discovered change of scale formulas for Wiener integrals of functionals in Banach algebraSon classical Wiener space. Yoo and Skoug extended these results for functionals in the Fresnel classF(B)and in a generalized Fresnel classFA1,A2on abstract Wiener space. We express Fourier-Feynman transform and convolution product of functionals inSas limits of Wiener integrals. Moreover we obtain change of scale formulas for Wiener integrals related to Fourier-Feynman transform and convolution product of these functionals.

Funder

National Research Foundation of Korea

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2014/657934.pdf

Reference19 articles.

1. The behavior of measure and measurability under change of scale in Wiener space

2. The translation pathology of Wiener space

3. A change of scale formula for Wiener integrals on abstract Wiener spaces

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