STEIN-TOMAS THEOREM FOR A TORUS AND THE PERIODIC SCHRODINGER OPERATOR WITH SINGULAR POTENTIAL

被引：2
|
作者：
Kachkovskii, I. [1 ]
机构：
[1] St Petersburg State Univ, Dept Phys, St Petersburg 198054, Russia
来源：
ST PETERSBURG MATHEMATICAL JOURNAL | 2013年 / 24卷 / 06期
关键词：
Stein-Tomas theorem; Schrodinger operator; periodic coefficients; absolutely continuous spectrum;
D O I：
10.1090/S1061-0022-2013-01273-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A discrete version of the Stein-Tomas theorem for a torus is proved, except for the endpoint case. The result makes it possible to establish the absolute continuity of the spectrum of the periodic Schrodinger operator with a delta-like potential concentrated on a hypersurface of nonzero curvature.
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页码：939 / 948
页数：10
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