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.

引用

页码：939 / 948

页数：10

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