The Tamarkin equiconvergence theorem and a first-order trace formula for regular differential operators revisited | Zendy

Alexander I. Nazarov | Zendy; Dmitriy Stolyarov | Zendy; Pavel B. Zatitskiy | Zendy

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The Tamarkin equiconvergence theorem and a first-order trace formula for regular differential operators revisited

Author(s) -

Alexander I. Nazarov,

Dmitriy Stolyarov,

Pavel B. Zatitskiy

Publication year - 2014

Publication title -

journal of spectral theory

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.063

H-Index - 19

eISSN - 1664-0403

pISSN - 1664-039X

DOI - 10.4171/jst/73

Subject(s) - trace (psycholinguistics) , mathematics , differential operator , operator (biology) , order (exchange) , simple (philosophy) , differential (mechanical device) , pure mathematics , mathematical analysis , algebra over a field , physics , philosophy , linguistics , biochemistry , chemistry , finance , repressor , epistemology , transcription factor , economics , gene , thermodynamics

We obtain a simple formula for the first-order trace of a regular differential operator on a segment perturbated by a multiplication operator. The main analytic ingredient of the proof is an improvement of the Tamarkin equiconvergence theorem. Mathematics Subject Classification (2010). 34L05.

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