INVESTIGADORES
GONZALEZ PISANI Pablo Andres
artículos
Título:
Unusual poles of the zeta functions for some regular singular differential operators
Autor/es:
H. FALOMIR, M.A. MUSCHIETTI, P.A.G. PISANI AND R. SEELEY
Revista:
JOURNAL OF PHYSICS. A - MATHEMATICAL AND GENERAL
Editorial:
IOP Publishing
Referencias:
Año: 2003 vol. A36 p. 9991 - 10010
ISSN:
0305-4470
Resumen:
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 lambda which depend on the singularity, and can take even irrational values. The consequences for the pole structure of the corresponding zeta and eta-functions are also discussed.
