The convergence of Fourier series in eigenfunctions of the Schrodinger operator with Kato potential

被引：3

作者：

Serov, VS ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 117234, Russia

来源：

MATHEMATICAL NOTES | 2000年 / 67卷 / 5-6期

关键词：

Schrodinger operator; eigenfunction expansion; generalized Fourier series; convergence;

D O I：

10.1007/BF02676337

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain sharp conditions for the absolute uniform convergence of Fourier series in the eigenfunctions of the Schrodinger operator with Kato potential in a bounded domain for functions lying in the domains of generalized fractional powers of the original Schrodinger operator or in generalized Besov classes with a sharp exponent.

引用

页码：639 / 645

页数：7

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