2. Prove that there is no continuous function whose Fourier coefficients satisfy lak(f)1 2: I/Vk for kEN.

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 19, 2024 01:08 AM

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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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2. Prove that there is no continuous function whose Fourier coefficients satisfy lak(f)1 2: I/Vk for kEN.

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An Introduction To Analysis

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