Jacobi matrices and boundary value problems in distance-regular graphs

In this work we analyze regular boundary value problems on a distance-regular graph associated with SchrÄodinger operators. These problems include the cases in which the boundary has two or one vertices. Moreover, we obtain the Green matrix for each regular problem. In each case, the Green matrices...

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Authors: Bendito Pérez, Enrique|||0000-0001-8859-5712, Carmona Mejías, Ángeles|||0000-0001-7713-1066, Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373, Gago Álvarez, Silvia|||0000-0002-0869-6079
Format: report
Publication Date:2012
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/14821
Online Access:https://hdl.handle.net/2117/14821
Access Level:Open access
Keyword:Matrices
Matrius (Matemàtica)
15 MATRIX THEORY
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
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network_acronym_str ES
network_name_str España
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spelling Jacobi matrices and boundary value problems in distance-regular graphsBendito Pérez, Enrique|||0000-0001-8859-5712Carmona Mejías, Ángeles|||0000-0001-7713-1066Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373Gago Álvarez, Silvia|||0000-0002-0869-6079MatricesMatrius (Matemàtica)15 MATRIX THEORYÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilinealIn this work we analyze regular boundary value problems on a distance-regular graph associated with SchrÄodinger operators. These problems include the cases in which the boundary has two or one vertices. Moreover, we obtain the Green matrix for each regular problem. In each case, the Green matrices are given in terms of two families of orthogonal polynomials one of them corresponding with the distance polynomials of the distance-regular graphs.20122012-01-2520122012-01-26reporthttp://purl.org/coar/resource_type/c_93fcAOhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/reportapplication/pdfhttps://hdl.handle.net/2117/14821reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/148212026-05-27T15:37:01Z
dc.title.none.fl_str_mv Jacobi matrices and boundary value problems in distance-regular graphs
title Jacobi matrices and boundary value problems in distance-regular graphs
spellingShingle Jacobi matrices and boundary value problems in distance-regular graphs
Bendito Pérez, Enrique|||0000-0001-8859-5712
Matrices
Matrius (Matemàtica)
15 MATRIX THEORY
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
title_short Jacobi matrices and boundary value problems in distance-regular graphs
title_full Jacobi matrices and boundary value problems in distance-regular graphs
title_fullStr Jacobi matrices and boundary value problems in distance-regular graphs
title_full_unstemmed Jacobi matrices and boundary value problems in distance-regular graphs
title_sort Jacobi matrices and boundary value problems in distance-regular graphs
dc.creator.none.fl_str_mv Bendito Pérez, Enrique|||0000-0001-8859-5712
Carmona Mejías, Ángeles|||0000-0001-7713-1066
Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373
Gago Álvarez, Silvia|||0000-0002-0869-6079
author Bendito Pérez, Enrique|||0000-0001-8859-5712
author_facet Bendito Pérez, Enrique|||0000-0001-8859-5712
Carmona Mejías, Ángeles|||0000-0001-7713-1066
Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373
Gago Álvarez, Silvia|||0000-0002-0869-6079
author_role author
author2 Carmona Mejías, Ángeles|||0000-0001-7713-1066
Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373
Gago Álvarez, Silvia|||0000-0002-0869-6079
author2_role author
author
author
dc.subject.none.fl_str_mv Matrices
Matrius (Matemàtica)
15 MATRIX THEORY
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
topic Matrices
Matrius (Matemàtica)
15 MATRIX THEORY
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
description In this work we analyze regular boundary value problems on a distance-regular graph associated with SchrÄodinger operators. These problems include the cases in which the boundary has two or one vertices. Moreover, we obtain the Green matrix for each regular problem. In each case, the Green matrices are given in terms of two families of orthogonal polynomials one of them corresponding with the distance polynomials of the distance-regular graphs.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-25
2012
2012-01-26
dc.type.none.fl_str_mv report
http://purl.org/coar/resource_type/c_93fc
AO
http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.openaire.fl_str_mv info:eu-repo/semantics/report
format report
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/14821
url https://hdl.handle.net/2117/14821
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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