English

On the range of weighted planar Cauchy transform

Complex Variables 2020-07-29 v1 Functional Analysis

Abstract

We describe the range of of weighted Cauchy transform and its kk-Bergman projection when action on weighted true poly-Bargmann spaces constituting an orthogonal Hilbertian decomposition of the Hilbert space of Gaussian functions on the complex plane.

Keywords

Cite

@article{arxiv.2007.13873,
  title  = {On the range of weighted planar Cauchy transform},
  author = {Allal Ghanmi},
  journal= {arXiv preprint arXiv:2007.13873},
  year   = {2020}
}

Comments

6 pages Dedicated to the memory of Ahmed Intissar passed away in July 26, 2017}

R2 v1 2026-06-23T17:26:53.701Z