Changes
Top. Groups & Fourier Transforms
==MishMash==
The Fourier transformation (often called the "Fourier transform" or "Fourier integral") is an invertible integral transformation that decomposes a square integrable, piecewise continuous functions on a topological group into a linear combination of basis elements.<ol>
<li>Shouldn't we start with classes of functions on <math>\mathbf{C}^n</math>? Test functions <math>\mathcal{D}</math>? And then perhaps tempered distributions <math>\mathcal{S}</math>?
<li>What's the "piecewise continuous" part about?
<li>Yes, it can be done on a locally compact abelian group, but just to throw in half of the necessary conditions isn't helpful, IMO </ol>
I'd like to rewrite the article as stated above... Any objections? --[[User:DiEb|DiEb]] 11:14, 22 August 2008 (EDT)
The Fourier transformation (often called the "Fourier transform" or "Fourier integral") is an invertible integral transformation that decomposes a square integrable, piecewise continuous functions on a topological group into a linear combination of basis elements.<ol>
<li>Shouldn't we start with classes of functions on <math>\mathbf{C}^n</math>? Test functions <math>\mathcal{D}</math>? And then perhaps tempered distributions <math>\mathcal{S}</math>?
<li>What's the "piecewise continuous" part about?
<li>Yes, it can be done on a locally compact abelian group, but just to throw in half of the necessary conditions isn't helpful, IMO </ol>
I'd like to rewrite the article as stated above... Any objections? --[[User:DiEb|DiEb]] 11:14, 22 August 2008 (EDT)
