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Mathematics of the USSR-Izvestiya, 1968, Volume 2, Issue 3, Pages 585–600
DOI: https://doi.org/10.1070/IM1968v002n03ABEH000647 (Mi im2481) 		 
This article is cited in 9 scientific papers (total in 10 papers)

Trace formulas in the case of the Orr–Sommerfeld equation

V. B. Lidskii, V. A. Sadovnichii
English version PDF (553 kB) Citations (10)
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DOI: https://doi.org/10.1070/IM1968v002n03ABEH000647
Abstract: We introduce a $\zeta$-function associated with the spectrum of the Orr–Sommerfeld equation; we also compute regularized sums of positive integral powers of eigenvalues of a boundary value problem.
Received: 03.07.1967
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1968, Volume 32, Issue 3, Pages 633–648
Bibliographic databases:
UDC: 517.9
MSC: 76Exx, 47A52, 47A75, 34Bxx
Language: English
Original paper language: Russian
Citation: V. B. Lidskii, V. A. Sadovnichii, “Trace formulas in the case of the Orr–Sommerfeld equation”, Izv. Akad. Nauk SSSR Ser. Mat., 32:3 (1968), 633–648; Math. USSR-Izv., 2:3 (1968), 585–600
Citation in format AMSBIB
\Bibitem{LidSad68}
\by V.~B.~Lidskii, V.~A.~Sadovnichii
\paper Trace formulas in the case of the Orr--Sommerfeld equation
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1968
\vol 32
\issue 3
\pages 633--648
\mathnet{http://mi.mathnet.ru/im2481}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=227505}
\zmath{https://zbmath.org/?q=an:0164.10002|0179.40702}
\transl
\jour Math. USSR-Izv.
\yr 1968
\vol 2
\issue 3
\pages 585--600
\crossref{https://doi.org/10.1070/IM1968v002n03ABEH000647}
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  • https://www.mathnet.ru/eng/im/v32/i3/p633
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:766
    Russian version PDF:265
    English version PDF:14
    References:73
    First page:5
     
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