Fourier-feynman transforms, convolutions and first variations on the space of abstract wiener space valued continuous functions

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Abstract

In this paper, we establish various relationships among the Fourier-Feynman transform, convolution and first variation of functionals in some Banach algebra, defined on the space of abstract Wiener space valued continuous functions, which corresponds to the Banach algebra defined on classical Wiener space introduced by Cameron and Storvick.

Original languageEnglish
Pages (from-to)789-812
Number of pages24
JournalRocky Mountain Journal of Mathematics
Volume40
Issue number3
DOIs
StatePublished - 2010

Keywords

  • Banach algebra S
  • Convolution
  • Feynman integral
  • First variation
  • Fourier-Feynman transform
  • Wiener space

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