Sequential fourier-feynman transform, convolution and first variation

  • K. S. Chang
  • , D. H. Cho
  • , B. S. Kim
  • , T. S. Song
  • , I. Yoo

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Cameron and Storvick introduced the concept of a sequential Fourier-Feynman transform and established the existence of this transform for functionals in a Banach algebra Ŝ of bounded functionals on classical Wiener space. In this paper we investigate various relationships between the sequential Fourier-Feynman transform and the convolution product for functionals which need not be bounded or continuous. Also we study the relationships involving this transform and the first variation.

Original languageEnglish
Pages (from-to)1819-1838
Number of pages20
JournalTransactions of the American Mathematical Society
Volume360
Issue number4
DOIs
StatePublished - Apr 2008

Keywords

  • Convolution
  • Parseval's relation
  • Sequential Feynman integral
  • Sequential Fourier-Feynman transform
  • Translation theorem

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