On Toeplitz localization operators

Published 17 Jul 2011 in math.FA, math-ph, and math.MP | (1107.3269v1)

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).

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