15. ÖMG-Kongress
Jahrestagung der Deutschen Mathematikervereinigung

16. bis 22. September 2001 in Wien

Sektion 7 - Funktionalanalysis, Harmonische Analysis
Montag, 17. September 2001, 15.00, Hörsaal 28

 

Spectra of Differential Operators

Horst Behnke, Universität Osnabrück

 

The spectra of differential operators of the form

$$Ly=w^{-1} \sum ^n _{K=0} (-1)^K (p_K y ^{(K)}) ^{(K)}$$

on $[0, \infty)$ are investigated. The coefficients are assumed to be real valued and locally integrable, $p_n (x), w(x)> 0$, and satisfy conditions which combine decay at infinity and smoothness. In this case the selfadjoint extensions of the corresponding minimal operator have no singular continuous spectrum and the absolutely continuous spectrum can be characterized completely.

E-Mail:

anja@mathematik.uni-osnabrueck.de

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