Lp-representable 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 define the class of Lp-representable and ρ-representable functions and prove that they verify some growth conditions. The aim of this work is to characterize these classes of funct...

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Autor principal: Pinasco, D.
Formato: Artículo publishedVersion
Publicado: 2007
Materias:
Cauchy integral formula
Gaussian measures
Holomorphic functions
Integral representation
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v335_n1_p480_Pinasco
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v335_n1_p480_Pinasco_oai
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id I28-R145-paper_0022247X_v335_n1_p480_Pinasco_oai
record_format dspace
spelling I28-R145-paper_0022247X_v335_n1_p480_Pinasco_oai2024-08-16 Pinasco, D. 2007 In this paper we discuss the problem of integral representation of analytic functions over a complex Banach space E. We define the class of Lp-representable and ρ-representable functions and prove that they verify some growth conditions. The aim of this work is to characterize these classes of functions. It is also shown that it is possible to give an alternative representation for integral polynomials over a Hilbert space H using a universal Wiener measure. © 2007 Elsevier Inc. All rights reserved. Fil:Pinasco, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_0022247X_v335_n1_p480_Pinasco info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Math. Anal. Appl. 2007;335(1):480-497 Cauchy integral formula Gaussian measures Holomorphic functions Integral representation Lp-representable 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_v335_n1_p480_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
Holomorphic functions
Integral representation
spellingShingle Cauchy integral formula
Gaussian measures
Holomorphic functions
Integral representation
Pinasco, D.
Lp-representable functions on Banach spaces
topic_facet Cauchy integral formula
Gaussian measures
Holomorphic functions
Integral representation
description In this paper we discuss the problem of integral representation of analytic functions over a complex Banach space E. We define the class of Lp-representable and ρ-representable functions and prove that they verify some growth conditions. The aim of this work is to characterize these classes of functions. It is also shown that it is possible to give an alternative representation for integral polynomials over a Hilbert space H using a universal Wiener measure. © 2007 Elsevier Inc. All rights reserved.
format Artículo
Artículo
publishedVersion
author Pinasco, D.
author_facet Pinasco, D.
author_sort Pinasco, D.
title Lp-representable functions on Banach spaces
title_short Lp-representable functions on Banach spaces
title_full Lp-representable functions on Banach spaces
title_fullStr Lp-representable functions on Banach spaces
title_full_unstemmed Lp-representable functions on Banach spaces
title_sort lp-representable functions on banach spaces
publishDate 2007
url http://hdl.handle.net/20.500.12110/paper_0022247X_v335_n1_p480_Pinasco
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v335_n1_p480_Pinasco_oai
work_keys_str_mv AT pinascod lprepresentablefunctionsonbanachspaces
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