The aim of the paper is the study of pseudodifferential operators with shifts of the form
where and are pseudodifferential operators in the H\"ormander classes, and and are shift operators of the form
where and the mappings have infinitely differentiable coordinate functions bounded with all their derivatives. We will investigate the Fredholm and semi-Fredholm properties of the operator acting from into applying the limit operators method.
Cite this article
Vladimir S. Rabinovich, Pseudodifferential Operators on R^n with Variable Shifts. Z. Anal. Anwend. 22 (2003), no. 2, pp. 315–338DOI 10.4171/ZAA/1148