Conditions for the existence of wave operators in the nonself-adjoint case
Abstract
Conditions for the existence and completeness of wave operators for the nonself-adjoint case are investigated. The approach used is based on a functional model and a detailed analysis of the boundary behavior of analytic operator functions with values in a set of operators acting in Hilbert space. The present work is a continuation of Naboko's (1977, 1980) investigation of the scattering problem for a pair of nonself-adjoint operators.
- Publication:
-
IN: Wave propagation. Scattering theory (A88-46092 19-70). Leningrad
- Pub Date:
- 1987
- Bibcode:
- 1987wpst.book..132N
- Keywords:
-
- Existence Theorems;
- Operators (Mathematics);
- Wave Equations;
- Boundary Value Problems;
- Functions (Mathematics);
- Hilbert Space;
- Mathematical Models;
- Set Theory;
- Physics (General)