Journal of Mathematical Sciences

, Volume 209, Issue 1, pp 152–158 | Cite as

Series Formed by the Moduli of Blocks of Terms of Trigonometric Series. A Survey

Article

Abstract

This paper presents a survey of results on properties of series composed of the moduli of blocks of trigonometric series. The following questions are addressed: convergence, uniform convergence, and membership of the sum of series to Lp and to weighted Lp spaces. First results in this area pertaining to similar series for the Walsh system are put forward.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia

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