An algebra of polyanalytic functions
Complex Variables
2019-05-08 v1
Abstract
The most important uniform algebra is the family of continuous functions on a compact subset of the complex plane which are analytic on the interior int For compact sets which are regular (i.e. int and for polyanalytic functions, we introduce analogous spaces, which are Banach spaces with respect to the sup-norm, but are not closed with respect to the usual pointwise multiplication. We shall introduce a multiplication on these spaces and investigate the resulting algebras.
Cite
@article{arxiv.1905.02514,
title = {An algebra of polyanalytic functions},
author = {Abtin Daghighi and Paul M. Gauthier},
journal= {arXiv preprint arXiv:1905.02514},
year = {2019}
}