Spectral functions of non-essentially self-adjoint operators

Autores
Falomir, Horacio Alberto; Pisani, P. A. G.
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
One of the many problems to which Dowker devoted his attention is the effect of a conical singularity in the base manifold on the behavior of the quantum fields. In particular, he studied the small-t asymptotic expansion of the heatkernel trace on a cone and its effects on physical quantities as the Casimir energy. In this paper, we review some peculiar results found in the last decade, regarding the appearance of non-standard powers of t, and even negative integer powers of log t, in this asymptotic expansion for the self-adjoint extensions of some symmetric operators with singular coefficients. Similarly, we show that the ? -function associated with these self-adjoint extensions presents an unusual analytic structure. © 2012 IOP Publishing Ltd.
Fil: Falomir, Horacio Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Pisani, P. A. G.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
SELF-ADJOINT EXTENSIONS
SPECTRAL FUNCTIONS
KREIN'S FORMULA
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/74571
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Spectral functions of non-essentially self-adjoint operatorsFalomir, Horacio AlbertoPisani, P. A. G.SELF-ADJOINT EXTENSIONSSPECTRAL FUNCTIONSKREIN'S FORMULAhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1https://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1One of the many problems to which Dowker devoted his attention is the effect of a conical singularity in the base manifold on the behavior of the quantum fields. In particular, he studied the small-t asymptotic expansion of the heatkernel trace on a cone and its effects on physical quantities as the Casimir energy. In this paper, we review some peculiar results found in the last decade, regarding the appearance of non-standard powers of t, and even negative integer powers of log t, in this asymptotic expansion for the self-adjoint extensions of some symmetric operators with singular coefficients. Similarly, we show that the ? -function associated with these self-adjoint extensions presents an unusual analytic structure. © 2012 IOP Publishing Ltd.Fil: Falomir, Horacio Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Pisani, P. A. G.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaIOP Publishing2012-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/74571Falomir, Horacio Alberto; Pisani, P. A. G.; Spectral functions of non-essentially self-adjoint operators; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 45; 37; 9-2012; 1-431751-8113CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/45/37/374017info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1751-8121/45/37/374017info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T10:07:14Zoai:ri.conicet.gov.ar:11336/74571instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-05 10:07:14.774CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Spectral functions of non-essentially self-adjoint operators
title Spectral functions of non-essentially self-adjoint operators
spellingShingle Spectral functions of non-essentially self-adjoint operators
Falomir, Horacio Alberto
SELF-ADJOINT EXTENSIONS
SPECTRAL FUNCTIONS
KREIN'S FORMULA
title_short Spectral functions of non-essentially self-adjoint operators
title_full Spectral functions of non-essentially self-adjoint operators
title_fullStr Spectral functions of non-essentially self-adjoint operators
title_full_unstemmed Spectral functions of non-essentially self-adjoint operators
title_sort Spectral functions of non-essentially self-adjoint operators
dc.creator.none.fl_str_mv Falomir, Horacio Alberto
Pisani, P. A. G.
author Falomir, Horacio Alberto
author_facet Falomir, Horacio Alberto
Pisani, P. A. G.
author_role author
author2 Pisani, P. A. G.
author2_role author
dc.subject.none.fl_str_mv SELF-ADJOINT EXTENSIONS
SPECTRAL FUNCTIONS
KREIN'S FORMULA
topic SELF-ADJOINT EXTENSIONS
SPECTRAL FUNCTIONS
KREIN'S FORMULA
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv One of the many problems to which Dowker devoted his attention is the effect of a conical singularity in the base manifold on the behavior of the quantum fields. In particular, he studied the small-t asymptotic expansion of the heatkernel trace on a cone and its effects on physical quantities as the Casimir energy. In this paper, we review some peculiar results found in the last decade, regarding the appearance of non-standard powers of t, and even negative integer powers of log t, in this asymptotic expansion for the self-adjoint extensions of some symmetric operators with singular coefficients. Similarly, we show that the ? -function associated with these self-adjoint extensions presents an unusual analytic structure. © 2012 IOP Publishing Ltd.
Fil: Falomir, Horacio Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Pisani, P. A. G.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description One of the many problems to which Dowker devoted his attention is the effect of a conical singularity in the base manifold on the behavior of the quantum fields. In particular, he studied the small-t asymptotic expansion of the heatkernel trace on a cone and its effects on physical quantities as the Casimir energy. In this paper, we review some peculiar results found in the last decade, regarding the appearance of non-standard powers of t, and even negative integer powers of log t, in this asymptotic expansion for the self-adjoint extensions of some symmetric operators with singular coefficients. Similarly, we show that the ? -function associated with these self-adjoint extensions presents an unusual analytic structure. © 2012 IOP Publishing Ltd.
publishDate 2012
dc.date.none.fl_str_mv 2012-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/74571
Falomir, Horacio Alberto; Pisani, P. A. G.; Spectral functions of non-essentially self-adjoint operators; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 45; 37; 9-2012; 1-43
1751-8113
CONICET Digital
CONICET
url http://hdl.handle.net/11336/74571
identifier_str_mv Falomir, Horacio Alberto; Pisani, P. A. G.; Spectral functions of non-essentially self-adjoint operators; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 45; 37; 9-2012; 1-43
1751-8113
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/45/37/374017
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1751-8121/45/37/374017
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.084122

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