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dc.contributor.author
Carando, Daniel Germán  
dc.contributor.author
Lassalle, Silvia Beatriz  
dc.contributor.author
Zalduendo, Ignacio Martin  
dc.date.available
2020-03-03T19:46:36Z  
dc.date.issued
2010-10  
dc.identifier.citation
Carando, Daniel Germán; Lassalle, Silvia Beatriz; Zalduendo, Ignacio Martin; Orthogonally additive holomorphic functions of bounded type over C(K); Cambridge University Press; Proceedings Of The Edinburgh Mathematical Society; 53; 3; 10-2010; 609-618  
dc.identifier.issn
0013-0915  
dc.identifier.uri
http://hdl.handle.net/11336/98725  
dc.description.abstract
It is known that all k-homogeneous orthogonally additive polynomials P over C(K) are of the form P(x)= ∫Kxkdμ. Thus, x → xk factors all orthogonally additive polynomials through some linear form μ. We show that no such linearization is possible without homogeneity. However, we also show that every orthogonally additive holomorphic function of bounded type f over C(K) is of the form f(x)=∫Kh(x)dμ for some μ and holomorphic h : C (K) → L1(μ) of bounded type.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Cambridge University Press  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
HOLOMORPHIC FUNCTIONS OVER C(K)  
dc.subject
INTEGRAL REPRESENTATION  
dc.subject
ORTHOGONALLY ADDITIVE  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
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CIENCIAS NATURALES Y EXACTAS  
dc.title
Orthogonally additive holomorphic functions of bounded type over C(K)  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-02-27T18:48:40Z  
dc.journal.volume
53  
dc.journal.number
3  
dc.journal.pagination
609-618  
dc.journal.pais
Reino Unido  
dc.journal.ciudad
Cambridge  
dc.description.fil
Fil: Carando, Daniel Germán. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Lassalle, Silvia Beatriz. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Zalduendo, Ignacio Martin. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Torcuato Di Tella. Departamento de Matemáticas y Estadística; Argentina  
dc.journal.title
Proceedings Of The Edinburgh Mathematical Society  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/orthogonally-additive-holomorphic-functions-of-bounded-type-over-ck/B9719DF1CC1E0AB4274182C32428050D  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1017/S0013091509000248  

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