Convolution of distribution-valued functions. applications.

In this article we examine products and convolutions of vector-valued functions. For nuclear normal spaces of distributions Proposition 25 in \cite[p. 120]{MR0117544} yields a vector-valued product or convolution if there is a continuous product or convolution mapping in the range of the vector-valu...

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Autores:
Bargetz, Christian
Tipo de recurso:
Article of journal
Fecha de publicación:
2011
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/39449
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/39449
http://bdigital.unal.edu.co/29546/
Palabra clave:
Distributions
Convolution
Multiplication
46F10
46E10
42B20
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Bargetz, Christiana2ef4bb7-71e8-4886-af15-94f04843457f3002019-06-28T03:53:43Z2019-06-28T03:53:43Z2011https://repositorio.unal.edu.co/handle/unal/39449http://bdigital.unal.edu.co/29546/In this article we examine products and convolutions of vector-valued functions. For nuclear normal spaces of distributions Proposition 25 in \cite[p. 120]{MR0117544} yields a vector-valued product or convolution if there is a continuous product or convolution mapping in the range of the vector-valued functions. For specific spaces, we generalize this result to hypocontinuous bilinear maps at the expense of generality with respect to the function space. We consider holomorphic, meromorphic and differentiable vector-valued functions and state propositions that contain assertions on products and convolutions of distribution-valued functions in literature as particular cases. Moreover we consider the general convolution of analytic distribution-valued functions and give an approach different to \cite{MR2088667}application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/28063Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 45, núm. 1 (2011); 51-80 0034-7426Bargetz, Christian (2011) Convolution of distribution-valued functions. applications. Revista Colombiana de Matemáticas; Vol. 45, núm. 1 (2011); 51-80 0034-7426 .Convolution of distribution-valued functions. applications.Artículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTDistributionsConvolutionMultiplication46F1046E1042B20ORIGINAL28063-142413-1-PB.htmltext/html10025https://repositorio.unal.edu.co/bitstream/unal/39449/1/28063-142413-1-PB.html2caf2b32306779f4505f65971cdb5233MD5128063-99520-1-PB.pdfapplication/pdf485866https://repositorio.unal.edu.co/bitstream/unal/39449/2/28063-99520-1-PB.pdf751e1e67e923e3f4bafa93e05176d310MD52THUMBNAIL28063-99520-1-PB.pdf.jpg28063-99520-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4921https://repositorio.unal.edu.co/bitstream/unal/39449/3/28063-99520-1-PB.pdf.jpge3314628dd7e513ff01b3e23d44fd1b8MD53unal/39449oai:repositorio.unal.edu.co:unal/394492023-01-23 23:04:23.841Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Convolution of distribution-valued functions. applications.
title Convolution of distribution-valued functions. applications.
spellingShingle Convolution of distribution-valued functions. applications.
Distributions
Convolution
Multiplication
46F10
46E10
42B20
title_short Convolution of distribution-valued functions. applications.
title_full Convolution of distribution-valued functions. applications.
title_fullStr Convolution of distribution-valued functions. applications.
title_full_unstemmed Convolution of distribution-valued functions. applications.
title_sort Convolution of distribution-valued functions. applications.
dc.creator.fl_str_mv Bargetz, Christian
dc.contributor.author.spa.fl_str_mv Bargetz, Christian
dc.subject.proposal.spa.fl_str_mv Distributions
Convolution
Multiplication
46F10
46E10
42B20
topic Distributions
Convolution
Multiplication
46F10
46E10
42B20
description In this article we examine products and convolutions of vector-valued functions. For nuclear normal spaces of distributions Proposition 25 in \cite[p. 120]{MR0117544} yields a vector-valued product or convolution if there is a continuous product or convolution mapping in the range of the vector-valued functions. For specific spaces, we generalize this result to hypocontinuous bilinear maps at the expense of generality with respect to the function space. We consider holomorphic, meromorphic and differentiable vector-valued functions and state propositions that contain assertions on products and convolutions of distribution-valued functions in literature as particular cases. Moreover we consider the general convolution of analytic distribution-valued functions and give an approach different to \cite{MR2088667}
publishDate 2011
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dc.date.accessioned.spa.fl_str_mv 2019-06-28T03:53:43Z
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http://bdigital.unal.edu.co/29546/
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dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 45, núm. 1 (2011); 51-80 0034-7426
dc.relation.references.spa.fl_str_mv Bargetz, Christian (2011) Convolution of distribution-valued functions. applications. Revista Colombiana de Matemáticas; Vol. 45, núm. 1 (2011); 51-80 0034-7426 .
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