Discrete rational biorthogonal systems on the disc

Abstract. In recent years we have considered various problems related to Malmquist–Takenaka (MT) functions, which form orthogonal systems on the torus. We have introduced their discrete versions and applied them successfully for compression and representation of human ECG signals [6,7]. Also we have shown electrostatic interpretation of the discretization points. In these investigations we have taken the MT systems on the torus. In this paper we construct discrete MT type systems by generalizing our former discretization method applied on the torus to the unit disc.