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.

Weyl asymptotics for tensor products of operators and Dirichlet divisors

GRAMTCHEV, TODOR VASSILEV;
2015-01-01

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.
2015
Dirichlet divisors; Polysingular operators; Spectral theory; Tensor products of operators; Weyl asymptotics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/110736
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