3. Let 00 ao ~ . S = 2 + 6(ak cos kx + bk sm kx)...

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3. Let 00 ao ~ .

S = 2 + 6(ak cos kx + bk sm kx)

k=l be a trigonometric series and set for x E Rand N EN. Prove that S is the Fourier series of some continuous periodic function f : R ----; R if and only if 0' N converges uniformly on R, as N ----;00.

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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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3. Let 00 ao ~ . S = 2 + 6(ak cos kx + bk sm kx)...

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An Introduction To Analysis

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