Slice regular Malmquist-Takenaka system in the quaternionic Hardy spaces
Complex Variables
2016-11-21 v1
Abstract
A slice regular analogue of the Malmquist-Takenaka system is investigated. It is proved that they form a complete orthonormal system in the quaternionic Hardy spaces of the unit ball. The properties of associated projection operator are studied. Key Words and Phrases: Functions of hypercomplex variables, quaternionic Hardy spaces, series expansions, interpolation, approximation by rational functions, quaternionic Malmquist-Takenaka system
Cite
@article{arxiv.1611.06037,
title = {Slice regular Malmquist-Takenaka system in the quaternionic Hardy spaces},
author = {Margit Pap},
journal= {arXiv preprint arXiv:1611.06037},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1404.1234 by other authors