Behavior of the First Variation of Fourier Transform of a Measure on the Fourier Feynman Transform and Convolution. (2nd June 2016)

• Record Type: Journal Article
• Authors: Kim, Young Sik
• Is Part Of: Numerical functional analysis and optimization. Volume 37:Number 6(2016)
• Page Start: 699
• Page End: 718
• Publication Date: 2016-06-02
• Subjects: First variation -- Fourier Feynman transforms -- Wiener integral -- Wiener space; 26D10 -- 42B35 -- 42C4; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1173700
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: We investigate the behavior of a first variation of a Fourier transform of a measure of the form : upon the Fourier-Feynman transform and analytic Feynman integral and the convolution, where and { h 1, h 2, …, h n } is the orthonormal class of elements in H on the abstract Wiener space ( H, B, m ).