Spectral parametrization of non-selfadjoint Hill's operators

Journal of Differential Equations

Volumn 125, Issue 2, 1996, Pages 366-384

  Sansuc, Jean Jacques ^a   Tkachenko, Vadim ^b  

^a UNIVERSITÉ PARIS DESCARTES   (France)

^b B VERKIN INSTITUTE FOR LOW TEMPERATURE PHYSICS AND ENGINEERING   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030102735     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0035     Document Type: Article

References (9)

1. [GL] I. M. GELFAND AND B. M. LEVITAN, On determining a differential equation by its spectral function, Izv. AN SSSR, Ser. Math. 15, No. 4 (1951), 309-360.
2. [Ja] C. G. J. JACOBI, Über eine neue Methode zur Integration der hyperelliptischer Differentialgleichungen und über die rationale Form ihrer vollständigen algebraischen Integralgleichungen, Crelle's J. 32 (1846), 220-226.
3. [L] B. M. LEVITAN, "Inverse Sturm-Liouville Problems," Nauka, Moscow, 1977.
4. [M] V. A. MARCHENKO, "Sturm-Liouville Operators and Applications," Birkhäuser, Basel, 1966.
5. [MO] V. A. MARCHENKO AND I. V. OSTROVSKII, A characterization of the spectrum of Hill's operator, Mat. Sbornik 97, No. 4 (1975), 540-560. [Math. USSR Sbornik 26, No. 4 (1975), 493-554]
6. [MO] V. A. MARCHENKO AND I. V. OSTROVSKII, A characterization of the spectrum of Hill's operator, Mat. Sbornik 97, No. 4 (1975), 540-560. [Math. USSR Sbornik 26, No. 4 (1975), 493-554]
7. [McK] H. P. MCKEAN, Variation on a theme of Jacobi, Comm. Pure Appl. Math. 38 (1985), 669-678.
8. [Mu] D. MUMFORD, Tata Lectures on Theta II, Progress in Math., Vol. 43, Birkhäuser, Basel/Boston/Stuttgart, 1984.
9. [PT] L. PASTUR AND V. A. TKACHENKO, Spectral theory of a class of one-dimensional Schrödinger operators with limit-periodic potentials, Trudy Mosc. Math. Ob. 51 (1988).