Integral representation of holomorphic functions on Banach spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:308

Article

Pinasco, D ; Zalduendo, I

关键词: integral representation;    Cauchy integral formula;    Gaussian measures;   

DOI  :  10.1016/j.jmaa.2004.11.031

来源: Elsevier

【 摘 要 】

In this paper we discuss the problem of integral representation of analytic functions over a complex Banach space E. We obtain, for a wide class of functions, integral representations of the form [GRAPHICS] where W is an abstract Wiener measure on E' and f(1), f(2) are transformations of f involving the covariance operator of W. (c) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free