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

JAE GIL CHOI

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

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DAVID SKOUG

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

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, and

SEUNG JUN CHANG

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

Corresponding author.

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https://doi.org/10.1142/S0129167X12500681Cited by:10 (Source: Crossref)

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.

Keywords:

AMSC: Primary 60G15, Primary 43A32, Secondary 28C20, Secondary 60J65

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