Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-10T16:22:08.725Z Has data issue: false hasContentIssue false
  • English
  • Français

SPECTRAL THEORY OF HIGHER ORDER DIFFERENTIAL OPERATORS

Published online by Cambridge University Press:  19 December 2005

HORST BEHNCKE
HORST BEHNCKE
Affiliation:
Department of Mathematics, University of Osnabrück, 49069 Osnabrück, Germanybehncke@mathematik.uni-osnabrueck.de
Get access

Abstract

The absolutely continuous spectrum of a very general class of differential operators of order $2n$ is determined, for operators whose coefficients satisfy conditions that combine smoothness and decay properties. The main methods are asymptotic integration and the analysis of the associated $M$-matrix. The form of the solutions precludes the absence of a singular continuous spectrum.

Keywords

absolutely continuous spectrumM-matrixasymptotic integration34L0547E05
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 92 , Issue 1 , January 2006 , pp. 139 - 160
Copyright
2006 London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)