Paley-Wiener theorem

Let f(z) be an entire functionMathworldPlanetmath such that |f(z)|Keγ|z| for some K0 and γ>0. If the restriction of f to the real line is in L2(), then there exists a function g(t)L2(-γ,γ) such that


for all z.

Title Paley-Wiener theorem
Canonical name PaleyWienerTheorem
Date of creation 2013-03-22 15:25:42
Last modified on 2013-03-22 15:25:42
Owner Gorkem (3644)
Last modified by Gorkem (3644)
Numerical id 14
Author Gorkem (3644)
Entry type Theorem
Classification msc 30E99