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5th International ISAAC Congress
July 25-30, 2005
Department of Mathematics and Informatics, University of Catania
Catania, Sicily, Italy

Organizers
International ISAAC Board, Local organizing committee: F. Nicolosi (chairman), S. Bonafede, V. Cataldo, P. Cianci, G.R. Cirmi, S. D'Asero, G. Fiorito, L. Giusti, S. Leonardi, P.E. Ricci

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Change of Scale Formulas for Wiener Integrals and Fourier-Feynman Transforms
by
Il Yoo
Department of Mathematics, Yonsei University, Kangwondo 220-710, Korea
Coauthors: Teuk Seob Song

Cameron and Storvick introduced change of scale formulas for Wiener integrals of bounded functions in the Banach algebra S of analytic Feynman integrable functions on classical Wiener space. Yoo, Skoug, Chang, Kim and Song extended this result to an abstract Wiener space and a product abstract Wiener space. In particular, Yoo and Skoug established a change of scale formula for Wiener integrals of functions in the Fresnel class which corresponds to Cameron and Storvick's Banach algebra S, and then they developed this formula for a more generalized Fresnel class than the Fresnel class. Recently, Yoo, Chang, Kim and Song established change of scale formulas for Wiener integrals of functionals which need not be bounded or continuous. In this talk, we survey change of scale formulas for Wiener integrals and introduce the recent results about change of scale formulas for Wiener integrals and Fourier-Feynman transforms.

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Date received: April 28, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # capg-98.