Lp-representable 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 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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Pinasco, D.
Formato: JOUR
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
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0022247X_v335_n1_p480_Pinasco
record_format dspace
spelling todo:paper_0022247X_v335_n1_p480_Pinasco2023-10-03T14:29:11Z Lp-representable functions on Banach spaces Pinasco, D. Cauchy integral formula Gaussian measures Holomorphic functions Integral representation 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0022247X_v335_n1_p480_Pinasco
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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 JOUR
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
url http://hdl.handle.net/20.500.12110/paper_0022247X_v335_n1_p480_Pinasco
work_keys_str_mv AT pinascod lprepresentablefunctionsonbanachspaces
_version_ 1807321025142063104

Ejemplares similares