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Volovoj, A. V.
Таубероба теорема ассоцированная с гипотезой Вейла. (Russian) [A Tauberian theorem associated with the Weyl conjecture]. Mathematica Bohemica, vol. 116 (1991), issue 3, pp. 276-280
MSC: 35J25, 35P05, 35P20, 35S99, 47G30, 58G18, 58G25 | MR 1126449 | Zbl 0762.35029 | DOI: 10.21136/MB.1991.126178
Keywords:
pseudodifferential elliptic operator; compact manifold without boundary; spectral asymptotic formulas
References:
[1] P. H. Berard: On the wave equation on a compact Riemannian manifold without conjugate points. Math. Zeitschrift 155 (1977), 249-276. DOI 10.1007/BF02028444 | MR 0455055 | Zbl 0341.35052
[2] Д. Г. Васильев: Двучленная асимптотика спектра краевой задачи при внутреннем отражении общего вида. Функц. анализ и его прил., 18 (1984), 1 - 13. MR 0819429 | Zbl 1145.76320
[3] J. J. Duistermaat V. W. Guillemin: The spectrum of positive elliptic operators and periodic bicharacteristics. Invent. Math., 29 (1975), 39-79. DOI 10.1007/BF01405172 | MR 0405514
[4] V. Ivrii: Precise spectral asymptotics for elliptic operators. Lecture Notes in Math. Berlin: Springer-Verlag, 1100 (1984). MR 0771297 | Zbl 0565.35002
[5] B. Randoll: The Riemann hypothesis for Selberg's zeta-function. Trans. of Amer. Math. Soc., 276 (1976), 203-223.
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