Difference between revisions of "Fourier transformation"

Revision as of 01:10, March 22, 2007

Fourier transformation is an invertible integral transformation that decompose a piecewise continuous functions on atopological group into a linear combination of basis functions.

Often, functions which are difficult to analyze in one topological group become much easier to analyze when transformed to another topological group.

Discrete Fourier transformations are defined on discrete topological groups, and the integral is replaced by summation.

Revision as of 00:27, March 21, 2007 (view source) Noodles (talk \| contribs) m ← Older edit		Revision as of 01:10, March 22, 2007 (view source) Noodles (talk \| contribs) m Newer edit →
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−	Fourier transformation is an invertible integral transformation that ~~map~~ [[piecewise continuous functions]] ~~from one~~ [[topological group]] ~~to another such that the kernel of the transformation is~~ a ~~generator~~ of ~~the group~~.	+	Fourier transformation is an invertible integral transformation that decompose a [[piecewise continuous functions]] on a[[topological group]] into a linear combination of basis functions.

	Often, functions which are difficult to analyze in one topological group become much easier to analyze when transformed to another topological group.		Often, functions which are difficult to analyze in one topological group become much easier to analyze when transformed to another topological group.