On Strömberg′s Spline-Wavelets

AbstractWe provide a simple representation of Strömberg′s wavelets which was studied in [J. Strömberg, in "Conference on Harmonic Analysis in Honor of A. Zymund" (W. Beckner, Ed.), Wadeworth International Group, Belmont, CA, 1983]. This representation enables us to compute those wavelets efficiently. We point out the multiresolution approximation associated with this wavelet and the connection with Chui-Wang′s cardinal spline wavelet. A generalization of Strömbergs wavelet is also given