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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| Format: | Book Section |
| Language: | English |
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AIP Publishing
2017
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| Online Access: | http://umpir.ump.edu.my/id/eprint/16587/ http://umpir.ump.edu.my/id/eprint/16587/ http://umpir.ump.edu.my/id/eprint/16587/ http://umpir.ump.edu.my/id/eprint/16587/1/On%20Almost%20Everywhere%20Covergence.pdf |
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ump-16587 |
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eprints |
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ump-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 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Universiti Malaysia Pahang |
| building |
UMP Institutional Repository |
| collection |
Online Access |
| 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/ http://umpir.ump.edu.my/id/eprint/16587/ http://umpir.ump.edu.my/id/eprint/16587/ http://umpir.ump.edu.my/id/eprint/16587/1/On%20Almost%20Everywhere%20Covergence.pdf |
| first_indexed |
2023-09-18T22:22:24Z |
| last_indexed |
2023-09-18T22:22:24Z |
| _version_ |
1777415743752634368 |