On half-line spectra for a class of non-self-adjoint Hill operators

Mathematische Nachrichten

Volumn 261-262, Issue , 2003, Pages 171-175

  Shin, Kwang C ^a  

^a UNIVERSITY OF MISSOURI   (United States)

Author keywords

Floquet discriminant; Hill operators; Non self adjoint; Spectrum

Indexed keywords

EID: 0347622498     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.200310119     Document Type: Article

References (10)

1. G. Borg, Eine Umkehrung der Sturm-Liouvillschen Eigenwertaufgabe, Acta Math. 78, 1-96 (1946).
2. M. S. P. Eastham, The Spectral Theory of Periodic Differential Equations (Scottish Academic Press, London, 1973).
3. M. G. Gasymov, Spectral analysis of a class of second-order non-self-adjoint differential operators, Funct. Anal. Appl. 14, 11-15 (1980).
4. F. Gesztesy and H. Holden, Soliton Equations and their Algebro-Geometric Solutions. Vol. I: (1 + 1)-Dimensional Continuous Models, Cambridge Studies in Advanced Mathematics Vol. 79 (Cambridge University Press, 2003).
5. V. Guillemin and A. Uribe, Hardy functions and the inverse spectral method, Comm. P. D. E. 8, 1455-1474 (1983).
6. E. N. Ince, A proof of the impossibility of the coexistence of two Mathieu functions, Proc. Camb. Phil. Soc. 21, 117-120 (1922).
7. W. Magnus and S. Winkler, Hill's Equation (Dover Publications, Inc., New York, 1979).
8. L. A. Pastur and V. A. Tkachenko, Spectral theory of Schrödinger operators with periodic complex-valued potentials, Funct. Anal. Appl. 22, 156-158 (1988).
9. F. S. Rofe-Beketov, The spectrum of non-selfadjoint differential operators with periodic coefficients, Sov. Math. Dokl. 4, 1563-1566 (1963).
10. E. C. Titchmarsh, Eigenfunction Expansions associated with Second-Order Differential Equations, Part II (Oxford University Press, New York, 1958).