On Toeplitz localization operators
classification
🧮 math.FA
math-phmath.MP
keywords
operatorssymbolscertainlocalizationtoeplitzapproachcaldercompound
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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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