Ingham Inequality


Let (tj)j a increasing sequence of positive real numbers such that

tj+1-tjγ>1,j.

Then for all n and for all complex sequences (cj)j=-nn, we have

mj=-nn|cj|2-ππ|j=-nn12πcjeitjx|2𝑑x,

where

m=2π(1-1γ2).
Title Ingham Inequality
Canonical name InghamInequality
Date of creation 2013-03-22 15:54:58
Last modified on 2013-03-22 15:54:58
Owner ncrom (8997)
Last modified by ncrom (8997)
Numerical id 8
Author ncrom (8997)
Entry type Theorem
Classification msc 42B05