Density of finite gap potentials for the Zakharov-Shabat system

Asymptotic Analysis

Volumn 33, Issue 1, 2003, Pages 1-8

  Grebert B ^a   Kappeler, T ^b  

^a UNIVERSITÉ DE NANTES   (France)

^b UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84887256905     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

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2. J. Garnett and E. Trubowitz, Gaps and bands of one dimensional periodic Schrödinger operators II, Comment. Math. Helv. 62 (1987), 18-37.
3. B. Grébert and J.-C. Guillot, Gaps of one dimensional periodic AKNS systems, Forum Math. 5 (1993), 459-504.
4. B. Grébert and T. Kappeler, Gap estimates of the spectrum of the Zakharov-Shabat system, Preprint, Université Paul Sabatier, 1997.
5. B. Grébert and T. Kappeler, Estimates on periodic and Dirichlet eigenvalues for the Zakharov-Shabat system, Asymptotic Anal. 25 (2001), 201-237. (Pubitemid 33655155)
6. B. Grébert, T. Kappeler and B. Mityagin, Gap estimates of the spectrum of the Zakharov-Shabat system, Appl. Math. Lett. 11 (1998), 95-97. (Pubitemid 128389777)
7. T. Kappeler and B. Mityagin, Gap estimates of the spectrum of Hill's equation and action variables for KdV, Trans. Amer. Math. Soc. 351 (1999), 619-646.
8. T. Kappeler and B. Mityagin, Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator, SIAM J. Math. Anal. 33 (2001), 113-152.
9. V.A. Marchenko and I.V. Ostrovsky, Approximation of periodic potentials by finite-zone potentials, Selecta Math. Soviet. 6 (1987), 101-136.
10. T.V. Misyura, Finite-zone potentials for Dirac operators, Teor. Funktsii Funktsional. Anal. i Prilozhen. 33 (1980), 107-111 (in Russian).
11. B. Mityagin, Manuscript, 2000.