Integral holomorphic functions
Volume 160 / 2004
Studia Mathematica 160 (2004), 83-99
MSC: Primary 46G20, 46E50; Secondary 46E15, 46E10, 46B10.
DOI: 10.4064/sm160-1-4
Abstract
We define the class of integral holomorphic functions over Banach spaces; these are functions admitting an integral representation akin to the Cauchy integral formula, and are related to integral polynomials. After studying various properties of these functions, Banach and Fréchet spaces of integral holomorphic functions are defined, and several aspects investigated: duality, Taylor series approximation, biduality and reflexivity.
