On Toeplitz localization operators

Abstract

We present a unified approach to study properties of Toeplitz localization operators based on the Calderón 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).

11 pages, 1 metapost figure

Cited by in corpus (2)

• Wavelets from Laguerre polynomials and Toeplitz-type operators
• Translation-invariant operators in reproducing kernel Hilbert spaces