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An explicit solution of the inverse periodic problem for Hill’s equation. (English) Zbl 0622.34021
Let $$-d^ 2/dx^ 2+q(x)$$ be the Hill’s operator with $$q\in L_{{\mathbb{R}}^ 2}(S^ 1)$$. The authors give an explicit formula for the isospectral manifold of all potentials having the same spectrum as q.
Reviewer: H.Rüssmann

MSC:
 34L99 Ordinary differential operators 34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) 34C25 Periodic solutions to ordinary differential equations
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