Novitskii, Michail On a complete description of the principal discrete series of spectral invariants of the Hill operator. (English) Zbl 0728.34090 Order, disorder and chaos in quantum systems, Proc. Conf., Dubna/USSR 1989, Oper. Theory, Adv. Appl. 46, 115-117 (1990). [For the entire collection see Zbl 0708.00010.] The author establishes a connection between the principal discrete series of spectral invariants of the Hill operator and first integrals of the Korteweg-de Vries equation. Reviewer: D.Robert (Nantes) MSC: 34L10 Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators 47E05 General theory of ordinary differential operators 34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) 34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) Keywords:principal discrete series of spectral invariants of the Hill operator; first integrals of the Korteweg-de Vries equation Citations:Zbl 0708.00010 PDFBibTeX XMLCite \textit{M. Novitskii}, in: Order, disorder and chaos in quantum systems. Proceedings of a conference held at Dubna, USSR on October 17-21, 1989. Basel etc.: Birkhäuser Verlag. 115--117 (1990; Zbl 0728.34090)