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Divergent Walsh-Fourier Series. Almost Everywhere Convergence of Walsh-Fourier Series of L2 Functions

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Walsh Series and Transforms

Part of the book series: Mathematics and Its Applications ((MASS,volume 64))

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Abstract

In 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 ยง2.3, the Fourier series of a continuous function may diverge at some points.

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ยฉ 1991 Springer Science+Business Media Dordrecht

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Golubov, B., Efimov, A., Skvortsov, V. (1991). Divergent Walsh-Fourier Series. Almost Everywhere Convergence of Walsh-Fourier Series of L2 Functions. In: Walsh Series and Transforms. Mathematics and Its Applications, vol 64. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3288-6_9

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  • DOI: https://doi.org/10.1007/978-94-011-3288-6_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5452-2

  • Online ISBN: 978-94-011-3288-6

  • eBook Packages: Springer Book Archive

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