论文标题
Whittaker-Hill操作员的不稳定性间隔
Instability intervals of the Whittaker-Hill operator
论文作者
论文摘要
山丘操作员承认乐队间隙结构。作为一种特殊情况，像Mathieu操作员一样，只有空白差距，但是，惠特克·希尔（Whittaker-Hill）操作员的不稳定性间隔可以打开或关闭。 2007年，P。Djakov和B. Mityagin为特殊的Whittaker-Hill操作员提供了带隙的渐近学[P. Djakov和B. Mityagin，J。Funct。肛门，242，157-194（2007）。]。在本文中，考虑了一个更一般的惠特克 - 希尔算子，并研究了不稳定性间隔的渐近学。
The Hill operator admits a band gap structure. As a special case, like the Mathieu operator, one has only open gaps, however, the instability intervals of the Whittaker-Hill operator may be open or closed. In 2007, P. Djakov and B. Mityagin gave the asymptotics of band gaps for a special Whittaker-Hill operator [P. Djakov and B. Mityagin, J. Funct. Anal., 242, 157-194 (2007).]. In this paper, a more general Whittaker-Hill operator is considered and the asymptotics of the instability intervals are studied.
