Local Zeta Functions, Functional Equations and Pseudodifferential Operators Over p-adic Fields

Abstract. This dissertation is dedicated to study two problems: the first one is the study of Riesz Kernels attached to elliptic quadratic forms of dimensions 4 and 2, and its applications to the construction of fundamental solutions for pseudodifferential operators. The second problem is the study...

Full description

Autores:
Casas Sánchez, Oscar Francisco
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2014
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/49857
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/49857
http://bdigital.unal.edu.co/43371/
Palabra clave:
51 Matemáticas / Mathematics
Local zeta functions
Pseudodifferential operators
Functional equation
parabolic-type pseudodifferential equations
p-adic fields
Función zeta local
Operadores seudodiferenciales
Ecuación funcional
Ecuaciones seudodiferenciales de tipo parabólico
Cuerpos p-ádicos
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_e7be055edf77b8a195420dead5b88e7a
oai_identifier_str oai:repositorio.unal.edu.co:unal/49857
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_abf2Zúñiga Galindo, WilsonAlbis, Víctor (Thesis advisor)39f54bd9-5eb4-4208-af16-1c23042b8a1d-1Casas Sánchez, Oscar Franciscoe092beff-6d53-48ac-beac-f501b1f29b673002019-06-29T09:24:31Z2019-06-29T09:24:31Z2014https://repositorio.unal.edu.co/handle/unal/49857http://bdigital.unal.edu.co/43371/Abstract. This dissertation is dedicated to study two problems: the first one is the study of Riesz Kernels attached to elliptic quadratic forms of dimensions 4 and 2, and its applications to the construction of fundamental solutions for pseudodifferential operators. The second problem is the study of parabolic-type pseudodifferential equations with variable coefficients in dimension 4Esta tesis está dedicada al estudio de dos problemas: el primero es el estudio de los núcleos de Riesz asociados a formas cuadráticas elíptica de dimensiones 4 y 2, y sus aplicaciones en la construcción de soluciones fundamentales para operadores seudodiferenciales. El segundo problema es el estudio de ecuaciones seudodiferenciales de tipo parabólico con coeficientes variables en dimensión 4Doctoradoapplication/pdfspaUniversidad Nacional de Colombia Sede Bogotá Facultad de Ciencias Departamento de MatemáticasDepartamento de MatemáticasCasas Sánchez, Oscar Francisco (2014) Local Zeta Functions, Functional Equations and Pseudodifferential Operators Over p-adic Fields. Doctorado thesis, Universidad Nacional de Colombia - Sede Bogotá.51 Matemáticas / MathematicsLocal zeta functionsPseudodifferential operatorsFunctional equationparabolic-type pseudodifferential equationsp-adic fieldsFunción zeta localOperadores seudodiferencialesEcuación funcionalEcuaciones seudodiferenciales de tipo parabólicoCuerpos p-ádicosLocal Zeta Functions, Functional Equations and Pseudodifferential Operators Over p-adic FieldsTrabajo de grado - Doctoradoinfo:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_db06Texthttp://purl.org/redcol/resource_type/TDORIGINAL1830386.2014.pdfapplication/pdf941303https://repositorio.unal.edu.co/bitstream/unal/49857/1/1830386.2014.pdf839eed8f00fed7471caf189840aba5a9MD51THUMBNAIL1830386.2014.pdf.jpg1830386.2014.pdf.jpgGenerated Thumbnailimage/jpeg4727https://repositorio.unal.edu.co/bitstream/unal/49857/2/1830386.2014.pdf.jpg26336360af90c7381053918e5221f22dMD52unal/49857oai:repositorio.unal.edu.co:unal/498572023-12-12 23:06:23.215Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Local Zeta Functions, Functional Equations and Pseudodifferential Operators Over p-adic Fields
title Local Zeta Functions, Functional Equations and Pseudodifferential Operators Over p-adic Fields
spellingShingle Local Zeta Functions, Functional Equations and Pseudodifferential Operators Over p-adic Fields
51 Matemáticas / Mathematics
Local zeta functions
Pseudodifferential operators
Functional equation
parabolic-type pseudodifferential equations
p-adic fields
Función zeta local
Operadores seudodiferenciales
Ecuación funcional
Ecuaciones seudodiferenciales de tipo parabólico
Cuerpos p-ádicos
title_short Local Zeta Functions, Functional Equations and Pseudodifferential Operators Over p-adic Fields
title_full Local Zeta Functions, Functional Equations and Pseudodifferential Operators Over p-adic Fields
title_fullStr Local Zeta Functions, Functional Equations and Pseudodifferential Operators Over p-adic Fields
title_full_unstemmed Local Zeta Functions, Functional Equations and Pseudodifferential Operators Over p-adic Fields
title_sort Local Zeta Functions, Functional Equations and Pseudodifferential Operators Over p-adic Fields
dc.creator.fl_str_mv Casas Sánchez, Oscar Francisco
dc.contributor.advisor.spa.fl_str_mv Albis, Víctor (Thesis advisor)
dc.contributor.author.spa.fl_str_mv Casas Sánchez, Oscar Francisco
dc.contributor.spa.fl_str_mv Zúñiga Galindo, Wilson
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
Local zeta functions
Pseudodifferential operators
Functional equation
parabolic-type pseudodifferential equations
p-adic fields
Función zeta local
Operadores seudodiferenciales
Ecuación funcional
Ecuaciones seudodiferenciales de tipo parabólico
Cuerpos p-ádicos
dc.subject.proposal.spa.fl_str_mv Local zeta functions
Pseudodifferential operators
Functional equation
parabolic-type pseudodifferential equations
p-adic fields
Función zeta local
Operadores seudodiferenciales
Ecuación funcional
Ecuaciones seudodiferenciales de tipo parabólico
Cuerpos p-ádicos
description Abstract. This dissertation is dedicated to study two problems: the first one is the study of Riesz Kernels attached to elliptic quadratic forms of dimensions 4 and 2, and its applications to the construction of fundamental solutions for pseudodifferential operators. The second problem is the study of parabolic-type pseudodifferential equations with variable coefficients in dimension 4
publishDate 2014
dc.date.issued.spa.fl_str_mv 2014
dc.date.accessioned.spa.fl_str_mv 2019-06-29T09:24:31Z
dc.date.available.spa.fl_str_mv 2019-06-29T09:24:31Z
dc.type.spa.fl_str_mv Trabajo de grado - Doctorado
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/doctoralThesis
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_db06
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/TD
format http://purl.org/coar/resource_type/c_db06
status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/49857
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/43371/
url https://repositorio.unal.edu.co/handle/unal/49857
http://bdigital.unal.edu.co/43371/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Sede Bogotá Facultad de Ciencias Departamento de Matemáticas
Departamento de Matemáticas
dc.relation.references.spa.fl_str_mv Casas Sánchez, Oscar Francisco (2014) Local Zeta Functions, Functional Equations and Pseudodifferential Operators Over p-adic Fields. Doctorado thesis, Universidad Nacional de Colombia - Sede Bogotá.
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
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/49857/1/1830386.2014.pdf
https://repositorio.unal.edu.co/bitstream/unal/49857/2/1830386.2014.pdf.jpg
bitstream.checksum.fl_str_mv 839eed8f00fed7471caf189840aba5a9
26336360af90c7381053918e5221f22d
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
_version_ 1814089775772073984

Publicaciones similares