|
|||||
|
|
Complete Asymptotic Expansion of the Integrated Density of States of Multidimensional Almost-Periodic Pseudo-Differential Operators |
|
| Authors: | Sergey Morozov Leonid Parnovski Roman Shterenberg |
| Affiliation: | 1. Mathematisches Institut, Ludwig-Maximilians-Universit?t München, Theresienstr. 39, 80333, Munich, Germany 2. Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK 3. Department of Mathematics, University of Alabama at Birmingham, 1300 University Blvd., Birmingham, AL, 35294, USA |
| Abstract: | We obtain a complete asymptotic expansion of the integrated density of states of operators of the form ${H = (-Delta)^w+ B}$ in ${mathbb{R}^d}$ . Here w > 0 and B belong to a wide class of almost-periodic self-adjoint pseudo-differential operators of order less than 2w. In particular, we obtain such an expansion for magnetic Schrödinger operators with either smooth periodic or generic almost-periodic coefficients. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |