Spectral asymptotics for infinite order pseudo-differential operators
Spectral Theory
2019-08-20 v3 Analysis of PDEs
Functional Analysis
Abstract
We study spectral properties of a class of global infinite order pseudo-differential operators and obtain the asymptotic behaviour of the spectral counting functions of such operators. Unlike their finite order counterparts, their spectral asymptotics are not of power-log-type but of log-type. The ultradistributional setting of such operators of infinite order makes the theory more complex so that the standard finite order global Weyl calculus cannot be used in this context.
Cite
@article{arxiv.1701.07907,
title = {Spectral asymptotics for infinite order pseudo-differential operators},
author = {Stevan Pilipović and Bojan Prangoski and Jasson Vindas},
journal= {arXiv preprint arXiv:1701.07907},
year = {2019}
}
Comments
32 pages