Differential Equations

, Volume 54, Issue 4, pp 468–475 | Cite as

Traces of G-Operators Concentrated on Submanifolds

  • T. I. Dang
Partial Differential Equations


We consider the traces on submanifolds of G-operators generated by pseudodifferential operators and operators of shift along the orbits of a discrete group G. Such operators arise in various problems in differential equations and mathematical physics, for example, in Sobolev problems. We show that the trace of a G-operator on a submanifold is the sum of a pseudodifferential operator on the submanifold and a G-operator concentrated on a sub-submanifold.


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© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Peoples’ Friendship University of RussiaMoscowRussia

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