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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.
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==Discrete Fourier transformation==
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Discrete Fourier transformations are defined on discrete topological groups, and the integral is replaced by summation.
    
[[category: mathematics]]
 
[[category: mathematics]]
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