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New page: Fourier transformation is an invertible integral transformation that map piecewise continuous functions from one topological group to another such that the kernel of the transforma...
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.
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