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On Almost Everywhere Covergence of Dyadic Fourier Series in L2

F., Deraman and Ahmedov, Anvarjon A. (2017) On Almost Everywhere Covergence of Dyadic Fourier Series in L2. In: 2nd International Conference and Workshop on Mathematical Analysis 2016 (ICWOMA2016). AIP Publishing, Melville, NY, pp. 1-6. ISBN 978-0-7354-1461-7

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Abstract

The almost everywhere convergence of the dyadic Fourier series in L2 is studied. The logarithmic behaviour of the partial sums of Dyadic Fourier series in L2 is established. In order to obtain the estimation for the maximal operator corresponding to the dyadic Fourier series, the properties and asymptotical behaviour of the Dirichlet kernel are investigated. The general representation in the dyadic group and the properties of the characteristic set are used.

Item Type: Book Section
Subjects: Q Science > Q Science (General)
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Mrs. Neng Sury Sulaiman
Date Deposited: 26 Apr 2017 04:10
Last Modified: 20 May 2018 23:43
URI: http://umpir.ump.edu.my/id/eprint/16587
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