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On Toeplitz localization operators

Research paper by Ondrej Hutník, Mária Hutníková

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



Abstract

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).