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dc.contributor.author
Pinasco, Damian  
dc.date.available
2023-04-03T14:38:40Z  
dc.date.issued
2011-07  
dc.identifier.citation
Pinasco, Damian; Representable Functions on the Unit Ball of a Banach Space; Springer; Mediterranean Journal Of Mathematics; 8; 3; 7-2011; 383-398  
dc.identifier.issn
1660-5446  
dc.identifier.uri
http://hdl.handle.net/11336/192469  
dc.description.abstract
In this paper we treat the problem of integral representation of analytic functions over the unit ball of a complex Banach space X using the theory of abstract Wiener spaces. We define the class of representable functions on the unit ball of X and prove that this set of functions is related with the classes of integral k-homogeneous polynomials, integral holomorphic functions and also with the set of Lp-representable functions on a Banach space.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
CAUCHY INTEGRAL FORMULA  
dc.subject
HOLOMORPHIC FUNCTIONS  
dc.subject
INTEGRAL REPRESENTATION  
dc.subject
WIENER MEASURES  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Representable Functions on the Unit Ball of a Banach Space  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-03-29T17:22:48Z  
dc.journal.volume
8  
dc.journal.number
3  
dc.journal.pagination
383-398  
dc.journal.pais
Alemania  
dc.journal.ciudad
Berlín  
dc.description.fil
Fil: Pinasco, Damian. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Torcuato Di Tella. Departamento de Matemáticas y Estadística; Argentina  
dc.journal.title
Mediterranean Journal Of Mathematics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00009-010-0093-5  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00009-010-0093-5