On certain Toeplitz operators in two variables

Stanley Joel Osher

Vol. 34 (1970), No. 1, 123–129

DOI: 10.2140/pjm.1970.34.123

Abstract

The problem of inverting and/or factoring Weiner-Hopf operators in two variables is one of the basic unsolved problems in classical analysis. In this paper we shall consider operators which are a perturbation of a product of operators in one variable, the perturbation differing from such simple operators by an operator in one variable. The principal tools used are the spectral mapping theorem combined with the known results on operators in one variable.

Mathematical Subject Classification

Primary: 47.25

Milestones

Received: 9 June 1969

Published: 1 July 1970