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Discrete Thoughts

by Zilin Jiang

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Tag: Fourier coefficient

Alternating Fourier Coefficients

Suppose is a periodic function from to with period . Let be its Fourier coefficients, namely for all . Prove for all it is almost surely that function is in where is an infinite sequence of independent and identical random variables indexed by with equals either or with probability . I heard this problem from… Continue reading Alternating Fourier Coefficients

Published June 26, 2013
Categorized as Mathematics Tagged Expectation, Fourier coefficient

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