INVESTIGADORES
GONZALEZ PISANI Pablo Andres
artículos
Título:
On the resolvent and spectral functions of a second order differential operator with a regular singularity
Autor/es:
H. FALOMIR, M.A. MUSCHIETTI AND P.A.G. PISANI
Revista:
JOURNAL OF MATHEMATICAL PHYSICS
Editorial:
AMER INST PHYSICS
Referencias:
Año: 2004 vol. 45 p. 4560 - 4577
ISSN:
0022-2488
Resumen:
We consider the resolvent of a second order differential operator 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 unusual powers of lambda which depend on the singularity. The consequences for the pole structure of the zeta-function, and the small-t asymptotic expansion of the heat-kernel, are also discussed.
