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Convergence of spectral decompositions of Hill operators with trigonometric polynomial potentials. (English. Russian original) Zbl 1242.34148

Dokl. Math. 83, No. 1, 5-7 (2011); translation from Dokl. Akad. Nauk 436, No. 1, 11-13 (2011).
Spectral decompositions of Hill operators with trigonometric polynomials potentials are analyzed. Conditions for the unconditional convergence of such decompositions are presented.

MSC:

34L10 Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators
34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.)
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References:

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