Unusual poles of the ζ-functions for some regular singular differential operators
- Autores
- Falomir, Horacio Alberto; Muschietti, María Amelia; González Pisani, Pablo Andrés; Seeley, R.
- Año de publicación
- 2003
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We consider the resolvent of a system of first-order differential operators with a regular singularity, admitting a family of self-adjoint extensions. We find that the asymptotic expansion for the resolvent in the general case presents powers of λ which depend on the singularity, and can take even irrational values. The consequences for the pole structure of the corresponding ζ- and η-functions are also discussed.
Instituto de Física La Plata
Departamento de Matemática - Materia
-
Física
Matemática
Operator theory
Functional analysis
Functional analytical methods - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/131540
Ver los metadatos del registro completo
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Unusual poles of the ζ-functions for some regular singular differential operatorsFalomir, Horacio AlbertoMuschietti, María AmeliaGonzález Pisani, Pablo AndrésSeeley, R.FísicaMatemáticaOperator theoryFunctional analysisFunctional analytical methodsWe consider the resolvent of a system of first-order differential operators with a regular singularity, admitting a family of self-adjoint extensions. We find that the asymptotic expansion for the resolvent in the general case presents powers of λ which depend on the singularity, and can take even irrational values. The consequences for the pole structure of the corresponding ζ- and η-functions are also discussed.Instituto de Física La PlataDepartamento de Matemática2003-09-15info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf9991-10010http://sedici.unlp.edu.ar/handle/10915/131540enginfo:eu-repo/semantics/altIdentifier/issn/0305-4470info:eu-repo/semantics/altIdentifier/issn/1361-6447info:eu-repo/semantics/altIdentifier/arxiv/math-ph/0303030info:eu-repo/semantics/altIdentifier/doi/10.1088/0305-4470/36/39/302info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:31:17Zoai:sedici.unlp.edu.ar:10915/131540Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:31:17.635SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Unusual poles of the ζ-functions for some regular singular differential operators |
| title |
Unusual poles of the ζ-functions for some regular singular differential operators |
| spellingShingle |
Unusual poles of the ζ-functions for some regular singular differential operators Falomir, Horacio Alberto Física Matemática Operator theory Functional analysis Functional analytical methods |
| title_short |
Unusual poles of the ζ-functions for some regular singular differential operators |
| title_full |
Unusual poles of the ζ-functions for some regular singular differential operators |
| title_fullStr |
Unusual poles of the ζ-functions for some regular singular differential operators |
| title_full_unstemmed |
Unusual poles of the ζ-functions for some regular singular differential operators |
| title_sort |
Unusual poles of the ζ-functions for some regular singular differential operators |
| dc.creator.none.fl_str_mv |
Falomir, Horacio Alberto Muschietti, María Amelia González Pisani, Pablo Andrés Seeley, R. |
| author |
Falomir, Horacio Alberto |
| author_facet |
Falomir, Horacio Alberto Muschietti, María Amelia González Pisani, Pablo Andrés Seeley, R. |
| author_role |
author |
| author2 |
Muschietti, María Amelia González Pisani, Pablo Andrés Seeley, R. |
| author2_role |
author author author |
| dc.subject.none.fl_str_mv |
Física Matemática Operator theory Functional analysis Functional analytical methods |
| topic |
Física Matemática Operator theory Functional analysis Functional analytical methods |
| dc.description.none.fl_txt_mv |
We consider the resolvent of a system of first-order differential operators with a regular singularity, admitting a family of self-adjoint extensions. We find that the asymptotic expansion for the resolvent in the general case presents powers of λ which depend on the singularity, and can take even irrational values. The consequences for the pole structure of the corresponding ζ- and η-functions are also discussed. Instituto de Física La Plata Departamento de Matemática |
| description |
We consider the resolvent of a system of first-order differential operators with a regular singularity, admitting a family of self-adjoint extensions. We find that the asymptotic expansion for the resolvent in the general case presents powers of λ which depend on the singularity, and can take even irrational values. The consequences for the pole structure of the corresponding ζ- and η-functions are also discussed. |
| publishDate |
2003 |
| dc.date.none.fl_str_mv |
2003-09-15 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
| dc.identifier.none.fl_str_mv |
http://sedici.unlp.edu.ar/handle/10915/131540 |
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http://sedici.unlp.edu.ar/handle/10915/131540 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
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openAccess |
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