Characterization of polyanalytic functions by meromorphic extensions into chains of circles
Differential Geometry
2011-07-07 v4 Complex Variables
Abstract
One-parameter smooth families of circles in the complex plane with the following property are described: a function is polyanalytic if and only if it has meromorphic extension inside any circle from the family, with the only singularity-a pole at the center.
Cite
@article{arxiv.0910.3578,
title = {Characterization of polyanalytic functions by meromorphic extensions into chains of circles},
author = {Mark L. Agranovsky},
journal= {arXiv preprint arXiv:0910.3578},
year = {2011}
}