The property (Hu) and (Ω) with the exponential representation of holomorphic functions.

Nguyen Minh Ha; Nguyen Van Khue

Publicacions Matemàtiques (1994)

  • Volume: 38, Issue: 1, page 37-49
  • ISSN: 0214-1493

Abstract

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The main aim of this paper is to prove that a nuclear Fréchet space E has the property (Hu) (resp. (Ω)) if and only if every holomorphic function on E (resp. on some dense subspace of E) can be written in the exponential form.

How to cite

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Minh Ha, Nguyen, and Van Khue, Nguyen. "The property (Hu) and (Ω) with the exponential representation of holomorphic functions.." Publicacions Matemàtiques 38.1 (1994): 37-49. <http://eudml.org/doc/41208>.

@article{MinhHa1994,
abstract = {The main aim of this paper is to prove that a nuclear Fréchet space E has the property (Hu) (resp. (Ω)) if and only if every holomorphic function on E (resp. on some dense subspace of E) can be written in the exponential form.},
author = {Minh Ha, Nguyen, Van Khue, Nguyen},
journal = {Publicacions Matemàtiques},
keywords = {Funciones holomorfas; Espacios de Fréchet; Función entera; nuclear Fréchet space; property },
language = {eng},
number = {1},
pages = {37-49},
title = {The property (Hu) and (Ω) with the exponential representation of holomorphic functions.},
url = {http://eudml.org/doc/41208},
volume = {38},
year = {1994},
}

TY - JOUR
AU - Minh Ha, Nguyen
AU - Van Khue, Nguyen
TI - The property (Hu) and (Ω) with the exponential representation of holomorphic functions.
JO - Publicacions Matemàtiques
PY - 1994
VL - 38
IS - 1
SP - 37
EP - 49
AB - The main aim of this paper is to prove that a nuclear Fréchet space E has the property (Hu) (resp. (Ω)) if and only if every holomorphic function on E (resp. on some dense subspace of E) can be written in the exponential form.
LA - eng
KW - Funciones holomorfas; Espacios de Fréchet; Función entera; nuclear Fréchet space; property
UR - http://eudml.org/doc/41208
ER -

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