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

, , and

Published 17 September 2003 • Published under licence by IOP Publishing Ltd
, , Citation H Falomir et al 2003 J. Phys. A: Math. Gen. 36 9991 DOI 10.1088/0305-4470/36/39/302

Download Article PDF

Article metrics

64 Total downloads

Share this article

Author affiliations

1 IFLP, Departamento de Física—Facultad de Ciencias Exactas, UNLP, CC 67 (1900) La Plata, Argentina

2 Departamento de Matemática—Facultad de Ciencias Exactas, UNLP, CC 172 (1900) La Plata, Argentina

3 University of Massachusetts at Boston, Boston, MA 02125, USA

Dates

  1. Received 16 June 2003
  2. Published

Buy this article in print

0305-4470/36/39/9991

Abstract

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.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue
10.1088/0305-4470/36/39/302