Unusual poles of the ζ-functions for some regular singular differential operators

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 i...

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Autores principales: Falomir, Horacio Alberto, Muschietti, María Amelia, González Pisani, Pablo Andrés, Seeley, R.
Formato: Articulo
Lenguaje:Inglés
Publicado: 2003
Materias:
Física
Matemática
Operator theory
Functional analysis
Functional analytical methods
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/131540
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-131540
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Matemática
Operator theory
Functional analysis
Functional analytical methods
spellingShingle Física
Matemática
Operator theory
Functional analysis
Functional analytical methods
Falomir, Horacio Alberto
Muschietti, María Amelia
González Pisani, Pablo Andrés
Seeley, R.
Unusual poles of the ζ-functions for some regular singular differential operators
topic_facet Física
Matemática
Operator theory
Functional analysis
Functional analytical methods
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.
format Articulo
Articulo
author Falomir, Horacio Alberto
Muschietti, María Amelia
González Pisani, Pablo Andrés
Seeley, R.
author_facet Falomir, Horacio Alberto
Muschietti, María Amelia
González Pisani, Pablo Andrés
Seeley, R.
author_sort Falomir, Horacio Alberto
title Unusual poles of the ζ-functions for some regular singular differential operators
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
publishDate 2003
url http://sedici.unlp.edu.ar/handle/10915/131540
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AT muschiettimariaamelia unusualpolesofthezfunctionsforsomeregularsingulardifferentialoperators
AT gonzalezpisanipabloandres unusualpolesofthezfunctionsforsomeregularsingulardifferentialoperators
AT seeleyr unusualpolesofthezfunctionsforsomeregularsingulardifferentialoperators
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