Difference between revisions of "Fourier transformation"
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| − | Fourier transformation is an invertible integral transformation that map [[piecewise continuous functions]] from one [[ | + | 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. |
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. | ||
[[category: mathematics]] | [[category: mathematics]] | ||
Revision as of 20:14, March 20, 2007
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.
Often, functions which are difficult to analyze in one topological group become much easier to analyze when transformed to another topological group.