On Toeplitz localization operators

Mathematics – Functional Analysis

Scientific paper

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11 pages, 1 metapost figure

Scientific paper

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).

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