Spectral analysis of a differential operator with an involution

被引：0

作者：

Anatoly G. Baskakov

Ilya A. Krishtal

Elena Yu. Romanova

机构：

[1] Voronezh State University,Department of Applied Mathematics and Mechanics

[2] Northern Illinois University,Department of Mathematical Sciences

来源：

Journal of Evolution Equations | 2017年 / 17卷

关键词：

Spectral asymptotic analysis; Method of similar operators; 47A10; 46H25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We use the method of similar operators to perform the asymptotic analysis of the spectrum of a differential operator with an involution. We show that such operators have compact resolvent, and that their large eigenvalues are determined by the values of (the Fourier coefficients) of their potential up to a summable sequence.

引用

页码：669 / 684

页数：15

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