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arXiv · 1611.06037

Slice regular Malmquist-Takenaka system in the quaternionic Hardy spaces

Margit Pap
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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

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Margit Pap. 2016-11-18. Slice regular Malmquist-Takenaka system in the quaternionic Hardy spaces. https://arxiv.org/abs/1611.06037

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