A+ CATEGORY SCIENTIFIC UNIT

Integral holomorphic functions

Volume 160 / 2004

Verónica Dimant, Pablo Galindo, Manuel Maestre, Ignacio Zalduendo 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.

Authors

  • Verónica DimantDepartamento de Matemática
    Universidad de San Andrés
    CC35-1644 Victoria
    Buenos Aires, Argentina
    e-mail
  • Pablo GalindoDepartamento de Análisis Matemático
    Universidad de Valencia
    46100 Burjasot
    Valencia, Spain
    e-mail
  • Manuel MaestreDepartamento de Análisis Matemático
    Universidad de Valencia
    46100 Burjasot
    Valencia, Spain
    e-mail
  • Ignacio ZalduendoDepartamento de Matemática
    Universidad Torcuato Di Tella
    Miñones 2177 (C1428ATG)
    Buenos Aires, Argentina
    e-mail

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