二维球面上拉普拉斯算子解的性质及轨迹公式

IF 0.5 Q3 MATHEMATICS Ufa Mathematical Journal Pub Date : 2016-01-01 DOI:10.13108/2016-8-3-22

A. Atnagulov, V. Sadovnichii, Z. Fazullin

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引用次数: 5

摘要

本文研究了二维球面S2上拉普拉斯-贝尔特拉米算子解的性质。我们得到了w12 (s2)中被一个函数的乘法算子扰动的Laplace-Beltrami算子的正则化迹公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

In the work we study the properties of the resolvent of the Laplace-Beltrami operator on a two-dimensional sphere S2. We obtain the regularized trace formula for the Laplace-Beltrami operator perturbed by the operator of multiplication by a function in W 1 2 (S 2).

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来源期刊

Ufa Mathematical Journal MATHEMATICS-

CiteScore

1.10

自引率

0.00%

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