On Toeplitz localization operators

Research paper by Ondrej Hutník, Mária Hutníková

Indexed on: 16 Jul '11Published on: 16 Jul '11Published in: Mathematics - Functional Analysis


We present a unified approach to study properties of Toeplitz localization operators based on the Calder\'on and Gabor reproducing formula. We show that these operators with functional symbols on a plane domain may be viewed as certain pseudodifferential operators (with symbols on a line, or certain compound symbols).