Abstract
The necessary and sufficient conditions are given for a sequence of complex numbers to be the periodic (or anti-periodic) spectrum of Hill’s operator.
*
Gvastela Fellow, partially supported by Israel Science Foundation of the Israel Academy of Science and Humanities and by Israel Ministry of Science
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
E. C. Titchmarsh: Eigenfunction expansions associated with second-order differential equations, Oxford, Claredon Press, 1958.
V. A. Marchenko: Sturm-Liouville operators and applications, Birkhäuser, Basel, 1986.
V. A. Marchenko and I. V. Ostrovskii: Characterization of the spectrum of Hill’s operator, Mathem.Sborn., 1975, 97, 4, 540–606; English transl. in Math. USSR-Sb. 26 (175).
P. Lax: Trace formulas for the Schroedinger operator, CPAM, 1994, 47, 4, 503–512.
V. A. Tkachenko: Discriminants and generic spectra of nonselfadjoint Hill’s operators, Advances in Sov. Math., AMS, 1994, 19, 41–71.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Basel AG
About this paper
Cite this paper
Sansuc, JJ., Tkachenko, V. (1997). Characterization of the Periodic and Anti-Periodic Spectra of Nonselfadjoint Hill’s Operators. In: Gohberg, I., Lyubich, Y. (eds) New Results in Operator Theory and Its Applications. Operator Theory: Advances and Applications, vol 98. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8910-0_16
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8910-0_16
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9824-9
Online ISBN: 978-3-0348-8910-0
eBook Packages: Springer Book Archive