Spectral functions of non-essentially self-adjoint operators

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...

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Detalles Bibliográficos
Autores principales: Falomir, Horacio Alberto, González Pisani, Pablo Andrés
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2012
Materias:
Matemática
Ciencias Exactas
Self-adjoint extensions
Spectral functions
Krein's formula
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/96120
https://ri.conicet.gov.ar/11336/74571
http://iopscience.iop.org/1751-8121/45/37/374017
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-96120
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Ciencias Exactas
Self-adjoint extensions
Spectral functions
Krein's formula
spellingShingle Matemática
Ciencias Exactas
Self-adjoint extensions
Spectral functions
Krein's formula
Falomir, Horacio Alberto
González Pisani, Pablo Andrés
Spectral functions of non-essentially self-adjoint operators
topic_facet Matemática
Ciencias Exactas
Self-adjoint extensions
Spectral functions
Krein's formula
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 ζ-function associated with these self-adjoint extensions presents an unusual analytic structure.
format Articulo
Preprint
author Falomir, Horacio Alberto
González Pisani, Pablo Andrés
author_facet Falomir, Horacio Alberto
González Pisani, Pablo Andrés
author_sort Falomir, Horacio Alberto
title Spectral functions of non-essentially self-adjoint operators
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
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/96120
https://ri.conicet.gov.ar/11336/74571
http://iopscience.iop.org/1751-8121/45/37/374017
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AT gonzalezpisanipabloandres spectralfunctionsofnonessentiallyselfadjointoperators
bdutipo_str Repositorios
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