Titlebook: Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series; Lars-Erik Persson,George Tephnadze,Ferenc Weisz Book 2

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-Fourier series in the harmonic analysis context.Connects clThis book discusses, develops and applies the theory of Vilenkin-Fourier series?connected to modern harmonic analysis..The classical theory of Fourier series deals with decomposition of a function into sinusoidal waves. Unlike these continu

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https://doi.org/10.1007/978-3-031-14459-2Harmonic Analysis; Vilenkin Groups; Vilenkin Systems; Lebesgue Spaces; Weak-Lp Spaces; Modulus of Continu

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,N?rlund and , Means of Vilenkin-Fourier Series in Lebesgue Spaces,The .-th N?rlund and Riesz logarithmic means are defined by . and . respectively, where . It is known that the N?rlund logarithmic means have better approximation properties than the partial sums and that the Riesz logarithmic means are better than Fejér means in the same sense.

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