|
|
|
References
|
|
|
1. |
Danilov L. I., “Absolyutnaya nepreryvnost spektra periodicheskogo operatora Diraka”, Differents. uravneniya, 36:2 (2000), 233–240 |
2. |
Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 |
3. |
Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki. Garmonicheskii analiz. Samosopryazhennost, v. 2, Mir, M., 1978 |
4. |
Kuchment P., Levendorskii S., “On the structure of spectra of periodic elliptic operators”, Trans. Amer. Math. Soc., 354:2 (2002), 537–569 |
5. |
Birman M. Sh., Suslina T. A., “Periodicheskii magnitnyi gamiltonian s peremennoi metrikoi. Problema absolyutnoi nepreryvnosti”, Algebra i analiz, 11:2 (1999), 1–40 |
6. |
Kuchment P., Floquet theory for partial differential equations, Oper. Theory Adv. Appl., 60, Birkhaeuser Verlag, Basel, 1993 |
7. |
Danilov L. I., Spektr operatora Diraka s periodicheskim potentsialom. VI, Dep. v VINITI 31.12.96. № 3855-V96, Izhevsk, 45 pp. |
8. |
Filonov N., Sobolev A. V., “Absence of the singular continuous component in the spectrum of analytic direct integrals”, Zap. nauch. semin. POMI, 318, 2004, 298–307 |
9. |
Danilov L. I., O spektre operatora Diraka s periodicheskim potentsialom, Preprint FTI UrO AN SSSR, Sverdlovsk, 1987 |
10. |
Danilov L. I., “O spektre operatora Diraka v $\mathbb R^n$ s periodicheskim potentsialom”, Teor. i matem. fizika, 85:1 (1990), 41–53 |
11. |
Danilov L. I., Spektr operatora Diraka s periodicheskim potentsialom. I, Dep. v VINITI 12.12.91.№ 4588-V91, Izhevsk, 35 pp. |
12. |
Danilov L. I., “Ob otsutstvii sobstvennykh znachenii v spektre obobschennogo dvumernogo periodicheskogo operatora Diraka”, Algebra i analiz, 17:3 (2005), 47–80 |
13. |
Danilov L. I., “Ob absolyutnoi nepreryvnosti spektra trekhmernogo periodicheskogo operatora Diraka”, Izvestiya In-ta matem. i inform. UdGU. Izhevsk, 2006, no. 1(35), 49–76 |
14. |
Danilov L. I., “O spektre periodicheskogo operatora Diraka”, Teor. i matem. fizika, 124:1 (2000), 3–17 |
15. |
Danilov L. I., Ob absolyutnoi nepreryvnosti spektra periodicheskikh operatorov Shredingera i Diraka. I, Dep. v VINITI 15.06.00. № 1683-V00, Izhevsk, 76 pp. |
16. |
Birman M. Sh., Suslina T. A., “The periodic Dirac operator is absolutely continuous”, Integr. Equat. and Oper. Theory, 34 (1999), 377–395 |
17. |
Gelfand I. M., “Razlozhenie po sobstvennym funktsiyam uravnenii s periodicheskimi koeffitsientami”, Dokl. AN SSSR, 73:6 (1950), 1117–1120 |
18. |
Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki. Analiz operatorov, v. 4, Mir, M., 1982 |
19. |
Danilov L. I., “Otsenki rezolventy i spektr operatora Diraka s periodicheskim potentsialom”, Teor. i matem. fizika, 103:1 (1995), 3–22 |
20. |
Thomas L. E., “Time dependent approach to scattering from impurities in a crystal”, Commun. Math. Phys., 33 (1973), 335–343 |