Spectral theory of higher order differential operators

• Autores: Horst Behncke
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 92, Nº 1, 2006, págs. 139-160
• Idioma: inglés
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• Resumen

  • 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.