Infinitely differemtiable functions with prescribed derivatives at a point

The existence of functions mentioned in the title is proved via the existence of their Fourier series.

Autores:
Albian, Alexander
Tipo de recurso:
Article of journal
Fecha de publicación:
1983
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42837
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42837
http://bdigital.unal.edu.co/32934/
Palabra clave:
51 Matemáticas / Mathematics
Fourier series Pólya theorem
real functions
set
Series de Fourier
teorema de Pólya
funciones reales
conjunto
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_4ba0ed9540a0877ca0728922190f0497
oai_identifier_str oai:repositorio.unal.edu.co:unal/42837
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
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_abf2Albian, Alexandera071d422-7a25-4a94-a075-ebbd859a80193002019-06-28T11:14:38Z2019-06-28T11:14:38Z1983-07-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/42837http://bdigital.unal.edu.co/32934/The existence of functions mentioned in the title is proved via the existence of their Fourier series.Usando series de Fourier y un teorema de Pólya, se da una nueva demostración de la existencia de funciones reales, infinitas veces diferenciables en una vecindad de 0, tales que sus derivadas f(n) (0), n = 0,1,2, ..., toman cualquier conjunto prefijado de valores.application/pdfspaUniversidad Nacional de Colombiahttp://revistas.unal.edu.co/index.php/recolma/article/view/32532Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasAlbian, Alexander (1983) Infinitely differemtiable functions with prescribed derivatives at a point. Revista Colombiana de Matemáticas, 17 (3-4). pp. 99-103. ISSN 2357-410051 Matemáticas / MathematicsFourier series Pólya theoremreal functionssetSeries de Fourierteorema de Pólyafunciones realesconjuntoInfinitely differemtiable functions with prescribed derivatives at a pointArtículo 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/ARTORIGINAL32532-120319-1-PB.pdfapplication/pdf1322856https://repositorio.unal.edu.co/bitstream/unal/42837/1/32532-120319-1-PB.pdf3a05e6d7f6140bea8aff453f092bf7bcMD51THUMBNAIL32532-120319-1-PB.pdf.jpg32532-120319-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6310https://repositorio.unal.edu.co/bitstream/unal/42837/2/32532-120319-1-PB.pdf.jpgbd8c6c4caeaa86ea5372f5d6fe7be3b6MD52unal/42837oai:repositorio.unal.edu.co:unal/428372023-02-09 23:04:27.173Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Infinitely differemtiable functions with prescribed derivatives at a point
title Infinitely differemtiable functions with prescribed derivatives at a point
spellingShingle Infinitely differemtiable functions with prescribed derivatives at a point
51 Matemáticas / Mathematics
Fourier series Pólya theorem
real functions
set
Series de Fourier
teorema de Pólya
funciones reales
conjunto
title_short Infinitely differemtiable functions with prescribed derivatives at a point
title_full Infinitely differemtiable functions with prescribed derivatives at a point
title_fullStr Infinitely differemtiable functions with prescribed derivatives at a point
title_full_unstemmed Infinitely differemtiable functions with prescribed derivatives at a point
title_sort Infinitely differemtiable functions with prescribed derivatives at a point
dc.creator.fl_str_mv Albian, Alexander
dc.contributor.author.spa.fl_str_mv Albian, Alexander
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
Fourier series Pólya theorem
real functions
set
Series de Fourier
teorema de Pólya
funciones reales
conjunto
dc.subject.proposal.spa.fl_str_mv Fourier series Pólya theorem
real functions
set
Series de Fourier
teorema de Pólya
funciones reales
conjunto
description The existence of functions mentioned in the title is proved via the existence of their Fourier series.
publishDate 1983
dc.date.issued.spa.fl_str_mv 1983-07-01
dc.date.accessioned.spa.fl_str_mv 2019-06-28T11:14:38Z
dc.date.available.spa.fl_str_mv 2019-06-28T11:14:38Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
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dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2357-4100
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/42837
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/32934/
identifier_str_mv ISSN: 2357-4100
url https://repositorio.unal.edu.co/handle/unal/42837
http://bdigital.unal.edu.co/32934/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/32532
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.references.spa.fl_str_mv Albian, Alexander (1983) Infinitely differemtiable functions with prescribed derivatives at a point. Revista Colombiana de Matemáticas, 17 (3-4). pp. 99-103. ISSN 2357-4100
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
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/42837/1/32532-120319-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
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