Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
On the eigenfunctions of the monodromy operator of the schrodinger operator with a time-periodic potential. / Korotyaev, E. L.
в: Mathematics of the USSR - Sbornik, Том 52, № 2, 28.02.1985, стр. 423-438.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On the eigenfunctions of the monodromy operator of the schrodinger operator with a time-periodic potential
AU - Korotyaev, E. L.
PY - 1985/2/28
Y1 - 1985/2/28
N2 - It is shown that the eigenfunctions of the monodromy operator of the Schrod- inger operator (with a potential periodic in time and rapidly decreasing in the space variables) decay in the space variables faster than any power. The spectrum of the monodromy operator is also investigated. It is proved that 1) the monodromy operator has no singular continuous spectrum; and 2) the total number of eigenfunctions of the monodromy operator (counting multiplicity) is finite.
AB - It is shown that the eigenfunctions of the monodromy operator of the Schrod- inger operator (with a potential periodic in time and rapidly decreasing in the space variables) decay in the space variables faster than any power. The spectrum of the monodromy operator is also investigated. It is proved that 1) the monodromy operator has no singular continuous spectrum; and 2) the total number of eigenfunctions of the monodromy operator (counting multiplicity) is finite.
UR - http://www.scopus.com/inward/record.url?scp=84956234198&partnerID=8YFLogxK
U2 - 10.1070/SM1985v052n02ABEH002898
DO - 10.1070/SM1985v052n02ABEH002898
M3 - Article
AN - SCOPUS:84956234198
VL - 52
SP - 423
EP - 438
JO - Sbornik Mathematics
JF - Sbornik Mathematics
SN - 1064-5616
IS - 2
ER -
ID: 86259136