A Rotation of Admixable Operators on Abstract Wiener Space with Applications. (16th July 2013)

• Record Type: Journal Article
• Authors: Choi, Jae Gil; Chang, Seung Jun
• Other Names: Hudzik Henryk Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2013(2013)
• Publication Date: 2013-07-16
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2013/671909
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : We investigate certain rotation properties of the abstract Wiener measure. To determine our rotation property for the Wiener measure, we introduce the concept of an admixable operator via an algebraic structure on abstract Wiener space. As for applications, we define the analytic Fourier-Feynman transform and the convolution product associated with the admixable operators and proceed to establish the relationships between this transform and the corresponding convolution product.