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mathgenius
on July 1, 2014
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The Two Cultures of Mathematics (2000) [pdf]
The characteristic function of a set is one in the set and zero outside [1]. Take fourier transform of this function. Fourier transform is a linear operator. Turn handle, bingo.
[1]
http://en.wikipedia.org/wiki/Indicator_function
iaf
on July 1, 2014
[–]
Ah, I didn't know 'characteristic' function and 'indicator' function were synonyms. Thanks!
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[1] http://en.wikipedia.org/wiki/Indicator_function