Prove that there is no continuous function whose Fourier coefficients satisfy |ak(f)| > 1/k for k

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Prove that there is no continuous function whose Fourier coefficients satisfy |ak(f)| > 1/√k for k ∈ N.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:29 AM

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Prove that there is no continuous function whose Fourier coefficients satisfy |ak(f)| > 1/k for k

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If f were continuo...View the full answer

An Introduction to Analysis

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