Integral representation of holomorphic functions on Banach spaces

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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...

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Autores principales: Pinasco, D., Zalduendo, I.
Formato: Artículo publishedVersion
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
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v308_n1_p159_Pinasco_oai
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_0022247X_v308_n1_p159_Pinasco_oai
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spelling I28-R145-paper_0022247X_v308_n1_p159_Pinasco_oai2024-08-16 Pinasco, D. Zalduendo, I. 2005 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. application/pdf http://hdl.handle.net/20.500.12110/paper_0022247X_v308_n1_p159_Pinasco info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Math. Anal. Appl. 2005;308(1):159-174 Cauchy integral formula Gaussian measures Integral representation Integral representation of holomorphic functions on Banach spaces info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v308_n1_p159_Pinasco_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
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
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v308_n1_p159_Pinasco_oai
work_keys_str_mv AT pinascod integralrepresentationofholomorphicfunctionsonbanachspaces
AT zalduendoi integralrepresentationofholomorphicfunctionsonbanachspaces
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