Wiener algebra for the quaternions
Complex Variables
2015-01-13 v1
Abstract
We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener-L\'evy type theorem and a factorization theorem. We give applications to Toeplitz and Wiener-Hopf operators.
Cite
@article{arxiv.1501.02642,
title = {Wiener algebra for the quaternions},
author = {Daniel Alpay and Fabrizio Colombo and David P. Kimsey and Irene Sabadini},
journal= {arXiv preprint arXiv:1501.02642},
year = {2015}
}