Expansion in characteristic functions of the Schrödinger operator with a singular potential |
| |
Authors: | G N Gestrin |
| |
Institution: | 1. Khar'kov Physicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Ukraine
|
| |
Abstract: | We study the spectral function of the operator ?δ+v(x) in three-dimensional space, where v(x) is measurable and belongs to L2. We study the differentiability of this function with respect to some measure. Simultaneously, we give estimates of the characteristic functions of a continuous spectrum at infinity. This justifies the decomposition of an arbitrary function in terms of the characteristic functions of an operator with this type of potential. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|