Titlebook: Walsh Series and Transforms; Theory and Applicati B. Golubov,A. Efimov,V. Skvortsov Book 1991 Springer Science+Business Media Dordrecht 199

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Divergent Walsh-Fourier Series. Almost Everywhere Convergence of Walsh-Fourier Series of L2 FunctioIn Chapter 2 we saw that even for a continuous function it is necessary to impose additional conditions to insure that its Walsh- Fourier series converges at every point. Without such conditions, as we remarked in §2.3, the Fourier series of a continuous function may diverge at some points.

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Approximations by Walsh and HAAR Polynomials,Let .(.) be a function continuous on the interval [0, 1]. Consider the .quantity where the infimum is taken over all real coefficients {.} and the norm is the uniform one, i. e.,

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Approximations by Walsh and HAAR Polynomials,Let .(.) be a function continuous on the interval [0, 1]. Consider the .quantity where the infimum is taken over all real coefficients {.} and the norm is the uniform one, i. e.,

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978-94-010-5452-2Springer Science+Business Media Dordrecht 1991

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