Dirichlet kernel
The Dirichlet of order is defined as
It can be represented as
Proof: It is
The Dirichlet kernel arises in the analysis of periodic functions because for any function of period , the convolution of and results in the Fourier-series approximation of order :
Title | Dirichlet kernel |
---|---|
Canonical name | DirichletKernel |
Date of creation | 2013-03-22 14:11:53 |
Last modified on | 2013-03-22 14:11:53 |
Owner | mathwizard (128) |
Last modified by | mathwizard (128) |
Numerical id | 10 |
Author | mathwizard (128) |
Entry type | Definition |
Classification | msc 26A30 |
Related topic | ExampleOfTelescopingSum |