Sharp Weyl Estimates for Tensor Products of Pseudodifferential Operators
Spectral Theory
2016-05-17 v2 Analysis of PDEs
Functional Analysis
Abstract
We study the asymptotic behavior of the counting function of tensor products of operators, in the cases where the factors are either pseudodifferential operators on closed manifolds, or pseudodifferential operators of Shubin type on , respectively. We obtain, in particular, the sharpness of the remainder term in the corresponding Weyl formulae, which we prove by means of the analysis of some explicit examples.
Cite
@article{arxiv.1411.2133,
title = {Sharp Weyl Estimates for Tensor Products of Pseudodifferential Operators},
author = {U. Battisti and M. Borsero and S. Coriasco},
journal= {arXiv preprint arXiv:1411.2133},
year = {2016}
}
Comments
27 pages, 3 figures. Corrected typos