International Journal of Mathematics and Mathematical Sciences 
Volume 20 (1997), Issue 2, Pages 229-234
doi:10.1155/S0161171297000306

The Paley-Wiener-Levinson theorem revisited

A. G. García

 Departamento de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III de Madrid, c/Butarque, 15, Leganés, Madrid 28911, Spain
Received 4 August 1995; Revised 12 October 1995

Abstract

In this paper a new proof of the Paley-Wiener-Levinson theorem is presented. This proof is based upon the isometry between the Paley-Wiener space and that of the square-integrable functions in [−π,π], on one hand, and a Titchmarsh's theorem which allows recovering bandlimited, entire functions from their zeros, on the other hand.