In this paper the slice regular analogue of the Malmquist-Takenaka system is introduced. It is proved that, under certain restrictions regarding to the parameters of the system, they form a complete orthonormal system...
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In this paper the slice regular analogue of the Malmquist-Takenaka system is introduced. It is proved that, under certain restrictions regarding to the parameters of the system, they form a complete orthonormal system in the quaternionic Hardy spaces of the unit ball. The properties of associated projection operator are also studied.
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