Frame Expansions of Bandlimited Signals Using Prolate Spheroidal Wave Functions

摘要

We consider methods to compute duals of frames for Paley-Wienerrnspaces generated by shifts of certain prolate spheroidal wave functions. Inrnparticular, we consider methods to compute frame expansions restricted tornsubband-limited functions. Methods to compute dual frame generators arernalso provided in the case of corresponding frames for spaces of bandpass-rnlimited signals.