Properties of the resolvent of the Laplace-Beltrami operator on the two-dimensional sphere and a trace formula

被引：1

作者：

Sadovnichii, V. A. ^{[1
]}

Fazullin, Z. Yu

Atnagulov, A. I.

机构：

[1] Moscow MV Lomonosov State Univ, Mech & Math Fac, Moscow 119991, Russia

来源：

DOKLADY MATHEMATICS | 2011年 / 84卷 / 03期

关键词：

Discrete Spectrum; Legendre Polynomial; Homogeneous Equation; DOKLADY Mathematic; Inde Pendent Solution;

D O I：

10.1134/S1064562411070143

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Properties of the resolvent of the Laplace-Beltrami operator on the two-dimensional sphere and a trace formula were studied. The operator was studied on L 2(S 2) and its perturbation L = L 0 + V, where V is the operator of multiplication by a given function v(ω). If If v(ω) ε W 2 1(S 2), then the operator L has discrete spectrum.

引用

页码：799 / 801

页数：3

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