Novitskij, M. Quasianalytic classes and isospectral Hill’s operators. (English) Zbl 0811.34072 Marchenko, V. A. (ed.), Spectral operator theory and related topics. Collection of papers. Providence, RI: American Mathematical Society. Adv. Sov. Math. 19, 27-39 (1994). The paper is devoted to the theory of quasianalytic classes and isospectral Hill’s operators. The main result is a criterion for unique recovery in terms of smoothness of potentials. New results concerning the relationship between the rate of decay of gap lengths and smoothness of a periodic potential are obtained.For the entire collection see [Zbl 0802.00007]. Reviewer: L.-I.Anita (Iaşi) MSC: 34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) 34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) 35J10 Schrödinger operator, Schrödinger equation 34A55 Inverse problems involving ordinary differential equations Keywords:quasianalytic classes; isospectral Hill’s operators; unique recovery PDFBibTeX XMLCite \textit{M. Novitskij}, Adv. Sov. Math. 19, 27--39 (1994; Zbl 0811.34072)