Dirac sequence

A Dirac sequence is a sequence (δk) of functions δk, which satisfies the following conditions:

  1. 1.

    δk0 for all k.

  2. 2.

    -δk(t)𝑑t=1 for all k.

  3. 3.

    For every r>0 and ε>0 there is an N, such that for all k>N we have


These functions “converge” to the Dirac delta function.

Title Dirac sequence
Canonical name DiracSequence
Date of creation 2013-03-22 14:11:35
Last modified on 2013-03-22 14:11:35
Owner mathwizard (128)
Last modified by mathwizard (128)
Numerical id 5
Author mathwizard (128)
Entry type Definition
Classification msc 26A30
Synonym delta sequence
Related topic DiracDeltaFunction
Related topic FejerKernel