03-381 R. del Rio and O. Tchebotareva

Boundary conditions of Sturm-Liouville operators with mixed spectra (57K, dvi) Aug 22, 03

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We study bounds on averages of spectral functions corresponding to Sturm-Liouville operators on the half line for different boundary conditions. As a consequence conditions 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.

Files: 03-381.src( 03-381.keywords , Artolg.dvi.mm )