Integral representation of holomorphic functions on Banach spaces

Mostrar todas las versiones(3)

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 f (x) = ∫E′ eγ(x) f1 (γ) dW(γ) and f(x) = ∫E′ 1/1 - γ(x)/∥γ∥ f2(γ) dW(γ), where W is an abstract Wiener...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Pinasco, D., Zalduendo, I.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2005
Materias:
Cauchy integral formula
Gaussian measures
Integral representation
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v308_n1_p159_Pinasco
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paperaa:paper_0022247X_v308_n1_p159_Pinasco
record_format dspace
spelling paperaa:paper_0022247X_v308_n1_p159_Pinasco2023-06-12T16:44:05Z Integral representation of holomorphic functions on Banach spaces J. Math. Anal. Appl. 2005;308(1):159-174 Pinasco, D. Zalduendo, I. Cauchy integral formula Gaussian measures Integral representation 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 f (x) = ∫E′ eγ(x) f1 (γ) dW(γ) and f(x) = ∫E′ 1/1 - γ(x)/∥γ∥ f2(γ) dW(γ), where W is an abstract Wiener measure on E′ and f1, f2 are transformations of f involving the covariance operator of W. © 2004 Elsevier Inc. All rights reserved. Fil:Pinasco, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Zalduendo, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2005 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0022247X_v308_n1_p159_Pinasco
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Cauchy integral formula
Gaussian measures
Integral representation
spellingShingle Cauchy integral formula
Gaussian measures
Integral representation
Pinasco, D.
Zalduendo, I.
Integral representation of holomorphic functions on Banach spaces
topic_facet Cauchy integral formula
Gaussian measures
Integral representation
description 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 f (x) = ∫E′ eγ(x) f1 (γ) dW(γ) and f(x) = ∫E′ 1/1 - γ(x)/∥γ∥ f2(γ) dW(γ), where W is an abstract Wiener measure on E′ and f1, f2 are transformations of f involving the covariance operator of W. © 2004 Elsevier Inc. All rights reserved.
format Artículo
Artículo
publishedVersion
author Pinasco, D.
Zalduendo, I.
author_facet Pinasco, D.
Zalduendo, I.
author_sort Pinasco, D.
title Integral representation of holomorphic functions on Banach spaces
title_short Integral representation of holomorphic functions on Banach spaces
title_full Integral representation of holomorphic functions on Banach spaces
title_fullStr Integral representation of holomorphic functions on Banach spaces
title_full_unstemmed Integral representation of holomorphic functions on Banach spaces
title_sort integral representation of holomorphic functions on banach spaces
publishDate 2005
url http://hdl.handle.net/20.500.12110/paper_0022247X_v308_n1_p159_Pinasco
work_keys_str_mv AT pinascod integralrepresentationofholomorphicfunctionsonbanachspaces
AT zalduendoi integralrepresentationofholomorphicfunctionsonbanachspaces
_version_ 1769810090280353792

Ejemplares similares