Generalized sampling theory and applications to multiresolutions and wavelets of L 2
Akram Aldroubi, Michael A. Unser · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1993
We use approximation theory to generalize the classical sampling procedure of Shannon. We give a link between this theory and the theory of wavelet transforms. As an application, we give a general method for constructing scaling and wavelet functions with specifiable properties.