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Zbl 1214.42056
Nagy, Karoly
Some convergence properties of the Walsh-Kaczmarz system with respect to the Marcinkiewicz means.
(English)
[A] Proceedings of the fifth international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, June 16--23, 2004. Palermo: Circolo Matemàtico di Palermo. Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 76, 503-516 (2005).

Summary: We investigate two-dimensional Marcinkiewicz kernels. We give a good decomposition and exact values of Marcinkiewicz kernels.
MSC 2000:
*42C10 Fourier series in special orthogonal functions
42C20 Rearrangements and other transformations of orthogonal series

Keywords: Marcinkiewicz means; a.e. convergence; Walsh group; Walsh-Kaczmarz system; two-variable functions

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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