A CHANGE OF SCALE FORMULA FOR GENERALIZED WIENER INTEGRALS II

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Published: Feb 15, 2013
DOI: https://doi.org/10.14403/jcms.2013.26.1.111
Keywords:
change of scale formula, generalized Wiener integral, generalized Feynman integral, generalized Fourier-Feynman transform
Mathematics Subject Classification (2020):
Primary 28C20

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Byoung Soo Kim
School of Liberal Arts, Seoul National University of Science and Technology
Teuk Seob Song
Department of Computer Engineering, Mokwon University
Il Yoo
Department of Mathematics, Yonsei University

Abstract





Cameron and Storvick discovered change of scale formulas for Wiener integrals on classical Wiener space. Yoo and Skoug extended this result to an abstract Wiener space. In this paper, we investigate a change of scale formula for generalized Wiener integrals of various functions using the generalized Fourier-Feynman transform.





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Article Details

Issue
Vol. 26 No. 1 (2013)
Section
Articles