M. Shapiro, V. Vinnikov, P. Yuditskii, “Finite difference operators with a finite band spectrum”, Mat. Fiz. Anal. Geom., 2004, Volume 11, Number 3,Pages <nobr>331

This article is cited in 2 papers

Finite difference operators with a finite band spectrum

M. Shapiro^a, V. Vinnikov^b, P. Yuditskii^c

^a Department of Mathematics, Michigan State University, East Lansing, MI 48824
^b Department of Mathematics, Ben-Gurion University, P.O. Box 653, Beer-Sheva, 84105, Israel
^c Institute for Analysis, Johannes Kepler University of Linz, A-4040 Linz, Austria

Abstract: We discuss a functional model for multidiagonal selfadjoint operators with almost periodic coefficients that generalizes the well known model for finite band Jacobi matrices. It give us an opportunity to construct examples of almost periodic operators with different spectral properties. Main result deals with an exact condition for the uniqueness of the model of the given type.

Received: 28.11.2003

Language: English