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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Detalles Bibliográficos
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
Descripción
Sumario: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.

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