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- W2170413445 abstract "To the memory of A. Ya. Povzner Abstract. The behavior of the lengths of spectral gaps {�n(q)} ∞=1 of the Hill- Schrnger operators S(q)u = Su '' + q(x)u, uDom(S(q)), with real-valued 1-periodic distributional potentials q(x) � H −1 1-per( ) is studied. We show that they exhibit the same behavior as the Fourier coefficients { q(n)}∞=−∞ of the potentials q(x) with respect to the weighted sequence spaces h s,� , s> S1, � � SV. The case q(x) � L 2-per( ), s � +, � � 1, corresponds to the Marchenko-" @default.
- W2170413445 created "2016-06-24" @default.
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- W2170413445 date "2008-05-14" @default.
- W2170413445 modified "2023-09-27" @default.
- W2170413445 title "SPECTRAL GAPS OF THE ONE-DIMENSIONAL SCHR¨ ODINGER OPERATORS WITH SINGULAR PERIODIC POTENTIALS" @default.
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