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Sergei Levendorski

Publications and source records attributed to Sergei Levendorski.

1 recordsLinked to original sources

On absolute continuity of spectra of periodic elliptic operators

The paper contains a brief description of a simplified version of A. Sobolev's proof of absolute continuity of spectra of periodic magnetic Schrödinger operators. This approach is applicable to all periodic elliptic operators known to be of interest for math physics (including Maxwell), and in all these cases leads to the same model problem of complex analysis. The full account of this approach will be provided elsewhere.

math-ph↗