Boundary conditions of Sturm-Liouville operators with mixed spectra

被引：3

作者：

del Rio, R

Tchebotareva, O

机构：

[1] Univ Nacl Autonoma Mexico, IIMAS, Mexico City 04510, DF, Mexico

[2] Univ Nacl Autonoma Mexico, Fac Ciencias, Mexico City 04510, DF, Mexico

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 288卷 / 02期

关键词：

Sturm-Liouville operator; mixed spectra; spectral measure;

D O I：

10.1016/j.jmaa.2003.09.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study bounds on averages of spectral functions corresponding to Sturm-Liouville operators on the half line for different boundary conditions. As a consequence constraints are obtained which imply existence of singular spectrum embedded in a.c. spectrum for sets of boundary conditions with positive measure and potentials vanishing in an interval [0, N]. These constraints are related to estimates on the measure of sets where the spectral density is positive. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：518 / 529

页数：12

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