Resolvent trace asymptotics for operators in the Shubin class
Analysis of PDEs
2025-12-08 v1
Abstract
A new pseudodifferential calculus of Shubin type is introduced. The calculus contains operators depending on a non negative real parameter as well as operators independent of the parameter. Resolvents of Shubin type pseudodifferential operators are constructed and their trace expansion is obtained.
Cite
@article{arxiv.2512.05689,
title = {Resolvent trace asymptotics for operators in the Shubin class},
author = {Jörg Seiler},
journal= {arXiv preprint arXiv:2512.05689},
year = {2025}
}
Comments
22 pages