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 |
. |
Category:
|
math |
. |
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 |
. |
Date available:
|
2009-09-24T20:45:50Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126178 |
. |
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. |
. |