Lobachevsky’s integral formula
by John from John D. Cook on (#76G0K)
Let f be an even function with period . Then the following remarkable theorem by Lobachevsky holds.
This theorem is useful in Fourier analysis and signal processing. It's useful to know even in the special case f(x) = 1.
For a jinc" analog, see this paper.
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Every time I see the name Lobachevsky I think of Tom Lehrer's song about him. You can find the words here and the audio here.
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