The estimates of periodic potentials in terms of effective masses

Communications in Mathematical Physics

Volumn 183, Issue 2, 1997, Pages 383-400

  Korotyaev, E ^a  

^a SAINT PETERSBURG ELECTROTECHNICAL UNIVERSITY LETI   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031540680     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02506412     Document Type: Article

References (21)

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3. Garnett, J., Trubowitz, E.: Gaps and bands of one dimensional periodic Schrödinger operator II. Comment. Math. Helv. 62, 18-37 (1987)
4. Jenkins, A.: Univalent functions and conformal mapping. Berlin, Göttingen, Heidelberg: Springer, 1958
5. Kargaev, P., Korotyaev, E.: Effective masses and conformal mappings. Commum. Math. Phys. 169, 597-625 (1995). Doklady RAN 336, 312-315 (1994) (Russian)
6. Kargaev, P., Korotyaev, E.: Effective masses and conformal mappings. Commum. Math. Phys. 169, 597-625 (1995). Doklady RAN 336, 312-315 (1994) (Russian)
7. Kargaev, P., Korotyaev, E.: Inverse Problem for the Hill Operator, the Direct Approach. Vienna, Preprint ESI 151, 1994, 23 pp
8. Kargaev, P., Korotyaev, E.: The Inverse Problem Generated by the Conformal Mappings on the Complex Plane with Parallel Slits. To be published
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10. Korotyaev, E.: Propagation of the waves in the one-dimensional periodic media. Vienna, Preprint ESI 152, 1994, 23 pp. Doklady RAN 336, 171-174 (1994) (Russian)
11. Korotyaev, E.: Propagation of the waves in the one-dimensional periodic media. Vienna, Preprint ESI 152, 1994, 23 pp. Doklady RAN 336, 171-174 (1994) (Russian)
12. Korotyaev, E.: The Second Order Estimates for the Hill Operator. Vienna, Preprint ESI 161, 1994, 10 pp
13. Korotyaev, E.: The Uniform Estimates for the Hill Operator. To be published in Doklady RAN
14. Korotyaev, E.: The metric properties of the conformal mapping on the complex plane with parallel slits. IMRN 10, 493-503 (1996)
15. Levin, B.: Majorants in the class of subharmonic functions. 1-3. Theory of functions, functional analysis and their applications 51, 3-17 (1989); 52, 3-33 (1989) (in Russian)
16. Levin, B.: Majorants in the class of subharmonic functions. 1-3. Theory of functions, functional analysis and their applications 51, 3-17 (1989); 52, 3-33 (1989) (in Russian)
17. Marchenko, V.: Sturm-Liouville operator and applications. Basel: Birkhäuser, 1986
18. Marchenko, V., Ostrovski, I.: A characterization of the spectrum of the Hill operator. Mat. Sb. 97 (139), 540-606 (1975) (in Russian)
19. Moser, J.: An Example of a Schrödinger operator with almost periodic potential and nowhere dense spectrum. Comment. Math. Helv. 56, 198-224 (1981)
20. Pastur, L., Tkachenko, V.: The spectral theory of some class of one dimensional Schrödinger operator with limit periodic potentials. Trudy of Moscow Math. Society 51, 114-168 (1988) (in Russian)
21. Savin, A.: Sbornik nauchnykh trudov UFTP M.-1988 (in Russian)