English

Weyl asymptotics for tensor products of operators and Dirichlet divisors

Spectral Theory 2015-05-26 v1

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.

Keywords

Cite

@article{arxiv.1210.3786,
  title  = {Weyl asymptotics for tensor products of operators and Dirichlet divisors},
  author = {Todor Gramchev and Stevan Pilipovic and Luigi Rodino and Jasson Vindas},
  journal= {arXiv preprint arXiv:1210.3786},
  year   = {2015}
}

Comments

19 pages