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A trace formula for higher order ordinary differential operators. / Gal'kovskii, E. D.; Nazarov, A. I.

в: Sbornik Mathematics, Том 212, № 5, 01.05.2021, стр. 676-697.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Gal'kovskii, ED & Nazarov, AI 2021, 'A trace formula for higher order ordinary differential operators', Sbornik Mathematics, Том. 212, № 5, стр. 676-697. https://doi.org/10.1070/sm9449

APA

Vancouver

Author

Gal'kovskii, E. D. ; Nazarov, A. I. / A trace formula for higher order ordinary differential operators. в: Sbornik Mathematics. 2021 ; Том 212, № 5. стр. 676-697.

BibTeX

@article{67af0bead3bb4ccb964d3a45d9daf1fd,
title = "A trace formula for higher order ordinary differential operators",
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≥4, the result contains a term of new type, previously unknown. Bibliography: 15 titles. ",
keywords = "Birkhoff regularity, regularized trace, ASYMPTOTICS",
author = "Gal'kovskii, {E. D.} and Nazarov, {A. I.}",
note = "Publisher Copyright: {\textcopyright} 2021 Russian Academy of Sciences (DoM) and London Mathematical Society.",
year = "2021",
month = may,
day = "1",
doi = "10.1070/sm9449",
language = "English",
volume = "212",
pages = "676--697",
journal = "Sbornik Mathematics",
issn = "1064-5616",
publisher = "Turpion Ltd.",
number = "5",

}

RIS

TY - JOUR

T1 - A trace formula for higher order ordinary differential operators

AU - Gal'kovskii, E. D.

AU - Nazarov, A. I.

N1 - Publisher Copyright: © 2021 Russian Academy of Sciences (DoM) and London Mathematical Society.

PY - 2021/5/1

Y1 - 2021/5/1

N2 - 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≥4, the result contains a term of new type, previously unknown. Bibliography: 15 titles.

AB - 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≥4, the result contains a term of new type, previously unknown. Bibliography: 15 titles.

KW - Birkhoff regularity

KW - regularized trace

KW - ASYMPTOTICS

UR - http://www.scopus.com/inward/record.url?scp=85111555418&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/2fbac4b5-adcc-3db5-9624-5ea518643ed4/

U2 - 10.1070/sm9449

DO - 10.1070/sm9449

M3 - Article

AN - SCOPUS:85111555418

VL - 212

SP - 676

EP - 697

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 5

ER -

ID: 85215448