|
Repositorio Atenea de la Facultad de Ciencias, UNAM >
Repositorio Ciencias >
FACULTAD DE CIENCIAS >
Ciencias >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/11154/1663
|
| Title: | Boundary conditions of Sturm-Liouville operators with mixed spectra |
| Authors: | del Rio, R
Tchebotareva, O |
| Issue Date: | 2003 |
| 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 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. |
| URI: | http://hdl.handle.net/11154/1663 |
| ISSN: | 0022-247X |
| Appears in Collections: | Ciencias
|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
|
