Resolvent trace asymptotics for operators in the Shubin class

Jörg Seiler

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arXiv · 2512.05689

Resolvent trace asymptotics for operators in the Shubin class

Jörg Seiler

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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.

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Jörg Seiler. 2025-12-05. Resolvent trace asymptotics for operators in the Shubin class. https://arxiv.org/abs/2512.05689

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