Spectral Properties of the Hill Operator
Matematičeskie zametki, Tome 99 (2016) no. 4, pp. 613-617.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: Hill operator, Hilbert space $L_2[0,\omega]$, method of similar operators, Dunford spectral operator, $\theta$-balanced potential, Hilbert–Schmidt operator
Mots-clés : equiconvergence.
@article{MZM_2016_99_4_a12,
     author = {A. G. Baskakov and D. M. Polyakov},
     title = {Spectral {Properties} of the {Hill} {Operator}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {613--617},
     publisher = {mathdoc},
     volume = {99},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_4_a12/}
}
TY  - JOUR
AU  - A. G. Baskakov
AU  - D. M. Polyakov
TI  - Spectral Properties of the Hill Operator
JO  - Matematičeskie zametki
PY  - 2016
SP  - 613
EP  - 617
VL  - 99
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2016_99_4_a12/
LA  - ru
ID  - MZM_2016_99_4_a12
ER  - 
%0 Journal Article
%A A. G. Baskakov
%A D. M. Polyakov
%T Spectral Properties of the Hill Operator
%J Matematičeskie zametki
%D 2016
%P 613-617
%V 99
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2016_99_4_a12/
%G ru
%F MZM_2016_99_4_a12
A. G. Baskakov; D. M. Polyakov. Spectral Properties of the Hill Operator. Matematičeskie zametki, Tome 99 (2016) no. 4, pp. 613-617. http://geodesic.mathdoc.fr/item/MZM_2016_99_4_a12/

[1] V. A. Marchenko, Operatory Shturma–Liuvillya i ikh prilozheniya, Naukova dumka, Kiev, 1977 | MR | Zbl

[2] P. B. Dzhakov, B. S. Mityagin, UMN, 61:4 (2006), 77–182 | DOI | MR | Zbl

[3] A. M. Savchuk, A. A. Shkalikov, Matem. zametki, 94:4 (2013), 578–581 | DOI | MR | Zbl

[4] L. K. Kusainova, A. Zh. Monasheva, A. A. Shkalikov, Matem. zametki, 93:4 (2013), 630–633 | DOI | Zbl

[5] T. Kappeler, A. M. Savchuk, P. Topalov, A. A. Shkalikov, Matem. zametki, 96:6 (2014), 896–904 | DOI | MR | Zbl

[6] A. G. Baskakov, Sib. matem. zhurn., 24:1 (1983), 21–39 | Zbl

[7] A. G. Baskakov, Izv. AN SSSR. Ser. matem., 50:3 (1986), 435–457 | MR | Zbl

[8] A. G. Baskakov, Izv. RAN. Ser. matem., 58:4 (1994), 3–32 | MR | Zbl

[9] A. G. Baskakov, A. V. Derbushev, A. O. Scherbakov, Izv. RAN. Ser. matem., 75:3 (2011), 3–28 | DOI | MR | Zbl

[10] D. M. Polyakov, Algebra i analiz, 27:5 (2015), 117–152

[11] O. A. Veliev, A. A. Shkalikov, Matem. zametki, 85:5 (2009), 671–686 | DOI | MR | Zbl

[12] N. B. Kerimov, Kh. R. Mamedov, Matem. zametki, 64:4 (1998), 558–563 | DOI | MR | Zbl

[13] P. Djakov, B. Mityagin, Selecta Math. (N.S.), 9:4 (2003), 495–528 | DOI | MR | Zbl

[14] A. S. Makin, Dokl. RAN, 406:4 (2006), 452–457 | MR | Zbl

[15] F. Gesztesy, V. Tkachenko, J. Differential Equations, 253:2 (2012), 400–437 | DOI | MR | Zbl

[16] Kh. R. Mamedov, Eur. J. Pure Appl. Math., 3:5 (2010), 831–838 | MR | Zbl

[17] I. Ts. Gokhberg, M. G. Krein, Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov v gilbertovom prostranstve, Nauka, M., 1965 | MR | Zbl

[18] A. G. Baskakov, Matem. sb., 206:8 (2015), 23–62 | DOI