Spectral Parametrization of Non-selfadjoint Hill's Operators

Authors: Sansuc J.J.¹; Tkachenko V.²

Source: Journal of Differential Equations, Volume 125, Number 2, March 1996 , pp. 366-384(19)

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Abstract:

For the set of Hill operators L =-( d 2 / dx 2 )+ q ( x ) with pi -periodic potentials q ( x )∈ L 2 [0,? pi ] a spectral parametrization is given using a complete system of independent parameters.

Language: English

Document Type: Research article

Affiliations: 1: U.F.R. de Mathematiques, Universite Paris 7 Denis Diderot, case 7012, 2 place Jussieu, Paris Cedex 05, F-75251, France 2: Mathematical Division, B. Verkin Institute for Low Temperature Physics, 47 Lenin Avenue, Kharkov, 310164, Ukraine

Publication date: 1996-03-01