Weyl asymptotics for tensor products of operators and Dirichlet divisors

Abstract

We study the counting function of the eigenvalues for tensor products of operators, and their perturbations, in the context of Shubin classes and closed manifolds. We emphasize connections with problems of analytic number theory, concerning in particular generalized Dirichlet divisor functions.

19 pages

References in corpus (1)

• On the Spectral Asymptotics of Operators on Manifolds with Ends

Cited by in corpus (1)

• Sharp Weyl Estimates for Tensor Products of Pseudodifferential Operators