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...
- 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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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 |
dc.date.issued.spa.fl_str_mv |
2011 |
dc.date.accessioned.spa.fl_str_mv |
2019-06-28T03:53:43Z |
dc.date.available.spa.fl_str_mv |
2019-06-28T03:53:43Z |
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Artículo de revista |
dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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publishedVersion |
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https://repositorio.unal.edu.co/handle/unal/39449 |
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http://bdigital.unal.edu.co/29546/ |
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https://repositorio.unal.edu.co/handle/unal/39449 http://bdigital.unal.edu.co/29546/ |
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spa |
language |
spa |
dc.relation.spa.fl_str_mv |
http://revistas.unal.edu.co/index.php/recolma/article/view/28063 |
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 . |
dc.rights.spa.fl_str_mv |
Derechos reservados - Universidad Nacional de Colombia |
dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
dc.rights.license.spa.fl_str_mv |
Atribución-NoComercial 4.0 Internacional |
dc.rights.uri.spa.fl_str_mv |
http://creativecommons.org/licenses/by-nc/4.0/ |
dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
eu_rights_str_mv |
openAccess |
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application/pdf |
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Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas |
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Universidad Nacional de Colombia |
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