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Sbornik: Mathematics, 2021, Volume 212, Issue 5, Pages 676–697
DOI: https://doi.org/10.1070/SM9449 (Mi sm9449) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A trace formula for higher order ordinary differential operators

E. D. Gal'kovskiia, A. I. Nazarovba

a Saint Petersburg State University, St. Petersburg, Russia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
English version PDF (654 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM9449
Abstract: We obtain a first-order trace formula for a higher order differential operator on a closed interval in the case where the perturbation operator is the operator of multiplication by a finite complex-valued charge. For operators of even orders $n\geqslant4$, the result contains a term of new type, previously unknown.
Bibliography: 15 titles.
Keywords: regularized trace, Birkhoff regularity.
Received: 19.05.2020 and 22.01.2021
Russian version:
Matematicheskii Sbornik, 2021, Volume 212, Number 5, Pages 80–101
DOI: https://doi.org/10.4213/sm9449
Bibliographic databases:
Document Type: Article
UDC: 517.984.55+517.927
MSC: Primary 34L05; Secondary 34B09, 34D10
Language: English
Original paper language: Russian
Citation: E. D. Gal'kovskii, A. I. Nazarov, “A trace formula for higher order ordinary differential operators”, Mat. Sb., 212:5 (2021), 80–101; Sb. Math., 212:5 (2021), 676–697
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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