Toeplitz Operators on Poly-analytic Spaces via Time-Scale Analysis
Ondrej Hutn\'ik, M\'aria Hutn\'ikov\'a
TL;DR
This paper reviews the structure of poly-analytic Bergman spaces and analyzes Toeplitz operators acting on them using time-scale analysis methods, providing insights into their properties and applications.
Contribution
It offers a comprehensive review of poly-analytic spaces and introduces time-scale analysis techniques to study Toeplitz operators on these spaces.
Findings
Characterization of true-poly-analytic Bergman spaces
Analysis of Toeplitz operators with separate symbols
Application of time-scale analysis methods
Abstract
This is a review paper based on the series of our papers devoted to a structure of true-poly-analytic Bergman function spaces over the upper half-plane in the complex plane and to a detailed study of properties of Toeplitz operators with separate symbols acting on them via methods of time-scale analysis.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Mathematical Analysis and Transform Methods