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Length of the gaps in the continuous spectrum of the Sturm-Liouville operator. (Russian) Zbl 0586.34020

The operator \(-d^ 2/dx^ 2+q(x)\) (and its natural generalizations) is considered in spaces \(L_ 2({\mathbb{R}}_+)\) or \(L_ 2({\mathbb{R}})\). Different bounds on the length of gaps in its continuous spectrum are given in terms of the smoothness of q.
Reviewer: D.Yafaev

MSC:

34L99 Ordinary differential operators
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