English

On Toeplitz localization operators

Functional Analysis 2012-07-12 v1 Mathematical Physics math.MP

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).

Keywords

Cite

@article{arxiv.1107.3269,
  title  = {On Toeplitz localization operators},
  author = {Ondrej Hutník and Mária Hutníková},
  journal= {arXiv preprint arXiv:1107.3269},
  year   = {2012}
}

Comments

11 pages, 1 metapost figure

R2 v1 2026-06-21T18:37:54.316Z