- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 An $L_p$ analytic Fourier-Feynman transform on abstract Wiener space Commun. Korean Math. Soc. 1997 Vol. 12, No. 3, 579-595 Kun Soo Chang, Young Sik Kim, Il Yoo Yonsei University, Seoul National University, Yonsei University Abstract : In this paper, we establish an $L_p$ analytic Fourier-Feyn- man transform theory for a class of cylinder functions on an abstract Wiener space. Also we define a convolution product for functions on an abstract Wiener space and then prove that the $L_p$ analytic Fourier-Feynman transform of the convolution product is a product of $L_p$ analytic Fourier-Feynman transforms. Keywords : Abstract Wiener Space, Analytic Feynman Integral, $L_p$ Analytic Fourier-Feynman Transform, Convolution Product MSC numbers : 28C20 Downloads: Full-text PDF

 Copyright © Korean Mathematical Society. (Rm.1109) The first building, 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd