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...
| Main Authors: | , |
|---|---|
| Format: | Book Chapter |
| Language: | English |
| Published: |
AIP Publishing
2017
|
| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/16587/ http://umpir.ump.edu.my/id/eprint/16587/1/On%20Almost%20Everywhere%20Covergence.pdf |
| _version_ | 1848820229045485568 |
|---|---|
| author | F., Deraman Ahmedov, Anvarjon A. |
| author_facet | F., Deraman Ahmedov, Anvarjon A. |
| author_sort | F., Deraman |
| building | UMP Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T02:06:08Z |
| format | Book Chapter |
| id | ump-16587 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T02:06:08Z |
| publishDate | 2017 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | 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 Chapter 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 |
| spellingShingle | Q Science (General) F., Deraman Ahmedov, Anvarjon A. On Almost Everywhere Covergence of Dyadic Fourier Series in L2 |
| title | 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_short | On Almost Everywhere Covergence of Dyadic Fourier Series in L2 |
| title_sort | on almost everywhere covergence of dyadic fourier series in l2 |
| topic | Q Science (General) |
| 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 |