Opening book details…
Can I read Smoothness of Schrödinger Operator Potential in the Case of Gevrey Type Asymptotics of the Gaps on EtoBox?
Smoothness of Schrödinger Operator Potential in the Case of Gevrey Type Asymptotics of the Gaps by Plamen Djakov; Boris Mityagin is a Mathematics article available to read on EtoBox.
What is Smoothness of Schrödinger Operator Potential in the Case of Gevrey Type Asymptotics of the Gaps about?
Consider the Schro ̈dinger equation Ày 00 þ V ðxÞy 1⁄4 ly with a periodic real-valued L 2 -potential V of period 1; VðxÞ 1⁄4 P 1 m1⁄4À1 vðmÞ expð2pimxÞ: Let fl À n ; l þ n g be its zones of instability, i.e. fl À n ; l þ n g are pairs of periodic and antiperiodic eigenvalues, and b 2 ð0; 1Þ determines Gevrey classes. then V ðxÞ is a Gevrey function, and moreover X 1 m1⁄4À1 jvðmÞj 2 ð1 þ jmjÞ 2s e 2ajmj b o1:
Who reads Smoothness of Schrödinger Operator Potential in the Case of Gevrey Type Asymptotics of the Gaps?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Plamen Djakov; Boris Mityagin
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-1236)
- Published
- 2002
- Language
- EN
- Field
- Mathematics (Physical Sciences)