A Rotation on Wiener Space with Applications. (5th August 2012)

• Record Type: Journal Article
• Authors: Choi, Jae Gil; Chang, Seung Jun
• Other Names: Brünig M. Academic Editor.; Langthjem M. Academic Editor.; Yau H. T. Academic Editor.; Zhang C. Academic Editor.
• Is Part Of: ISRN applied mathematics. Volume 2012(2012)
• Publication Date: 2012-08-05
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; Electronic journals; 510
• DOI: 10.5402/2012/578174
• Languages: English
• ISSNs: 2090-5564

Abstract

Abstract : We first investigate a rotation property of Wiener measure on the product of Wiener spaces. Next, using the concept of the generalized analytic Feynman integral, we define a generalized Fourier-Feynman transform and a generalized convolution product for functionals on Wiener space. We then proceed to establish a fundamental result involving the generalized transform and the generalized convolution product.