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In this work, the smoothing and the interpolation basis splines are analyzed. As well as the possibility of using the spectral properties of the basis splines for digital signal processing are shown. This takes into account the fact that basic splines represent finite, piecewise polynomial functions defined on compact media.doi:10.9717/jmis.2018.5.1.63 dblp:journals/jmmis/Nasiritdinovich18 fatcat:wx7ppo7ahrgdxb7o3sjeavlc2e