00-388 Peter Kuchment and Sergei Levendorski\^{i}

On the structure of spectra of periodic elliptic operators (107K, LATEX2e) Oct 2, 00

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Abstract. The paper discusses the problem of absolute continuity of spectra of periodic elliptic operators. A new result on absolute continuity for a matrix operator of Schr\"{o}dinger type is obtained. It is shown that all types of operators for which the absolute continuity has previously been established can be reduced to this one. It is also discovered that some natural generalizations stumble upon an obstacle in the form of non-triviality of a certain analytic bundle on the two-dimensional torus.

Files: 00-388.src( 00-388.keywords , kuch_lev.tex )