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Concerning an Example of Paskiewich
Authors:A. P. Solodov
Affiliation:(1) M. V. Lomonosov Moscow State University, Moscow, Russia
Abstract:We generalize the construction proposed by A. Paskiewich of an example of an orthonormal system which establishes the sharpness of the Men’shov-Rademacher theorem. The connection of his example with that of Men’shov is elucidated.__________Translated from Matematicheskie Zametki, vol. 78, no. 2, 2005, pp. 286–291.Original Russian Text Copyright © 2005 by A. P. Solodov.
Keywords:orthonormal system  almost-everywhere convergence  Weyl multiplier  Hilbert matrix  system of Price functions  Haar measure  p-adic expansion
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