Polyanalytic Besov spaces and approximation by dilatations
Complex Variables
2023-03-16 v1 Functional Analysis
Abstract
Using partial derivatives and , we introduce Besov spaces of polyanalytic functions on the unit disk and on the upper half-plane. We then prove that the dilatations of each function in polyanalytic Besov spaces converge to the same function in norm. This opens the way for the norm approximation of functions in polyanalytic Besov spaces by polyanalytic polynomials.
Cite
@article{arxiv.2303.08688,
title = {Polyanalytic Besov spaces and approximation by dilatations},
author = {Ali Abkar},
journal= {arXiv preprint arXiv:2303.08688},
year = {2023}
}