Slice regular Malmquist-Takenaka system in the quaternionic Hardy spaces
arXiv:1611.06037
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
arXiv admin note: text overlap with arXiv:1404.1234 by other authors