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Title: Таубероба теорема ассоцированная с гипотезой Вейла (Russian)
Title: A Tauberian theorem associated with the Weyl conjecture (English)
Author: Volovoj, A. V.
Language: Russian
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 116
Issue: 3
Year: 1991
Pages: 276-280
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Category: math
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Keyword: pseudodifferential elliptic operator
Keyword: compact manifold without boundary
Keyword: spectral asymptotic formulas
MSC: 35J25
MSC: 35P05
MSC: 35P20
MSC: 35S99
MSC: 47G30
MSC: 58G18
MSC: 58G25
idZBL: Zbl 0762.35029
idMR: MR1126449
DOI: 10.21136/MB.1991.126178
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Date available: 2009-09-24T20:45:50Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/126178
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Reference: [1] P. H. Berard: On the wave equation on a compact Riemannian manifold without conjugate points.Math. Zeitschrift 155 (1977), 249-276. Zbl 0341.35052, MR 0455055, 10.1007/BF02028444
Reference: [2] Д. Г. Васильев: Двучленная асимптотика спектра краевой задачи при внутреннем отражении общего вида.Функц. анализ и его прил., 18 (1984), 1 - 13. Zbl 1145.76320, MR 0819429
Reference: [3] J. J. Duistermaat V. W. Guillemin: The spectrum of positive elliptic operators and periodic bicharacteristics.Invent. Math., 29 (1975), 39-79. MR 0405514, 10.1007/BF01405172
Reference: [4] V. Ivrii: Precise spectral asymptotics for elliptic operators.Lecture Notes in Math. Berlin: Springer-Verlag, 1100 (1984). Zbl 0565.35002, MR 0771297
Reference: [5] B. Randoll: The Riemann hypothesis for Selberg's zeta-function.Trans. of Amer. Math. Soc., 276 (1976), 203-223.
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