Let (u(x)=mathbb{1}_{[0,1 / 3)}(x)). Prove that the Haar-Fourier series diverges at (x=frac{1}{3}). [ verify that (lim inf

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Let $u(x)=\mathbb{1}_{[0,1 / 3)}(x)$. Prove that the Haar-Fourier series diverges at $x=\frac{1}{3}$.

[ verify that $\lim \inf _{N ightarrow \infty} s_{N}\left(u, \frac{1}{3}ight)<\lim \sup _{N ightarrow \infty} s_{N}\left(u, \frac{1}{3}ight)$.]

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Measures Integrals And Martingales

ISBN: 9781316620243

2nd Edition

Authors: René L. Schilling

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Question Posted: Jan 25, 2024 01:06 AM

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Let (u(x)=mathbb{1}_{[0,1 / 3)}(x)). Prove that the Haar-Fourier series diverges at (x=frac{1}{3}). [ verify that (lim inf

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Measures Integrals And Martingales

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