Frame properties of shifts of prolate spheroidal wave functions

摘要

We provide conditions on a shift parameter and number of basic prolate spheroidal wave functions with a fixed bandwidth and time concentrated to a fixed duration such that the shifts of the basic prolates form a frame or a Riesz basis for the Paley-Wiener space consisting of all square integrable functions with the given. bandlimit. (C) 2014 Elsevier Inc. All rights reserved.