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On Almost Everywhere Covergence of Dyadic Fourier Series in L2

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 asym...

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Main Authors: F., Deraman, Ahmedov, Anvarjon A.
Format: Book Section
Language:English
Published: AIP Publishing 2017
Subjects:
Q Science (General)
Online Access:http://umpir.ump.edu.my/id/eprint/16587/1/On%20Almost%20Everywhere%20Covergence.pdf
http://umpir.ump.edu.my/id/eprint/16587/
http://dx.doi.org/10.1063/1.4972160
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spelling my.ump.umpir.165872018-05-20T23:43:19Z http://umpir.ump.edu.my/id/eprint/16587/ On Almost Everywhere Covergence of Dyadic Fourier Series in L2 F., Deraman Ahmedov, Anvarjon A. Q Science (General) 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. AIP Publishing 2017 Book Section PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/16587/1/On%20Almost%20Everywhere%20Covergence.pdf 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 http://dx.doi.org/10.1063/1.4972160 DOI: 10.1063/1.4972160
institution Universiti Malaysia Pahang
building UMP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang
content_source UMP Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
topic Q Science (General)
spellingShingle Q Science (General)
F., Deraman
Ahmedov, Anvarjon A.
On Almost Everywhere Covergence of Dyadic Fourier Series in L2
description 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.
format Book Section
author F., Deraman
Ahmedov, Anvarjon A.
author_facet F., Deraman
Ahmedov, Anvarjon A.
author_sort F., Deraman
title On Almost Everywhere Covergence of Dyadic Fourier Series in L2
title_short On Almost Everywhere Covergence of Dyadic Fourier Series in L2
title_full On Almost Everywhere Covergence of Dyadic Fourier Series in L2
title_fullStr On Almost Everywhere Covergence of Dyadic Fourier Series in L2
title_full_unstemmed On Almost Everywhere Covergence of Dyadic Fourier Series in L2
title_sort on almost everywhere covergence of dyadic fourier series in l2
publisher AIP Publishing
publishDate 2017
url http://umpir.ump.edu.my/id/eprint/16587/1/On%20Almost%20Everywhere%20Covergence.pdf
http://umpir.ump.edu.my/id/eprint/16587/
http://dx.doi.org/10.1063/1.4972160
_version_ 1643667966094475264
score 13.211869

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