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math.CV2016
Slice regular Malmquist-Takenaka system in the quaternionic Hardy spaces
Margit Pap
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 ba…
math.CV2011★ 2 cited
Multiresolution in the Bergman space
Margit Pap
In this paper we give a multiresolution construction in Bergman space. The successful application of rational orthogonal bases needs a priori knowledge of the poles of the transfer…