Integral holomorphic functions

Verónica Dimant; Pablo Galindo; Manuel Maestre; Ignacio Zalduendo

Studia Mathematica (2004)

  • Volume: 160, Issue: 1, page 83-99
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Verónica Dimant, et al. "Integral holomorphic functions." Studia Mathematica 160.1 (2004): 83-99. <http://eudml.org/doc/285293>.

@article{VerónicaDimant2004,
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.},
author = {Verónica Dimant, Pablo Galindo, Manuel Maestre, Ignacio Zalduendo},
journal = {Studia Mathematica},
keywords = {integral holomorphic mapping; reflexivity; duality},
language = {eng},
number = {1},
pages = {83-99},
title = {Integral holomorphic functions},
url = {http://eudml.org/doc/285293},
volume = {160},
year = {2004},
}

TY - JOUR
AU - Verónica Dimant
AU - Pablo Galindo
AU - Manuel Maestre
AU - Ignacio Zalduendo
TI - Integral holomorphic functions
JO - Studia Mathematica
PY - 2004
VL - 160
IS - 1
SP - 83
EP - 99
AB - 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.
LA - eng
KW - integral holomorphic mapping; reflexivity; duality
UR - http://eudml.org/doc/285293
ER -

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