On the Localization of the Riesz Means of Multiple Fourier Series of Distributions
We study special partial sums of multiple Fourier series of distributions. We obtain sufficient conditions of summation of Riesz means of Fourier expansions of distributions with compact support.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/731249 |
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doaj-a247cf53016c493ab8bbcab476289b2a2020-11-24T23:14:48ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/731249731249On the Localization of the Riesz Means of Multiple Fourier Series of DistributionsA. A. Rakhimov0Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, 43300 Selangor, MalaysiaWe study special partial sums of multiple Fourier series of distributions. We obtain sufficient conditions of summation of Riesz means of Fourier expansions of distributions with compact support.http://dx.doi.org/10.1155/2011/731249 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. A. Rakhimov |
| spellingShingle |
A. A. Rakhimov On the Localization of the Riesz Means of Multiple Fourier Series of Distributions Abstract and Applied Analysis |
| author_facet |
A. A. Rakhimov |
| author_sort |
A. A. Rakhimov |
| title |
On the Localization of the Riesz Means of Multiple Fourier Series of Distributions |
| title_short |
On the Localization of the Riesz Means of Multiple Fourier Series of Distributions |
| title_full |
On the Localization of the Riesz Means of Multiple Fourier Series of Distributions |
| title_fullStr |
On the Localization of the Riesz Means of Multiple Fourier Series of Distributions |
| title_full_unstemmed |
On the Localization of the Riesz Means of Multiple Fourier Series of Distributions |
| title_sort |
on the localization of the riesz means of multiple fourier series of distributions |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2011-01-01 |
| description |
We study special partial sums of multiple Fourier series of distributions. We obtain sufficient conditions of summation of Riesz means of Fourier expansions of distributions with compact support. |
| url |
http://dx.doi.org/10.1155/2011/731249 |
| work_keys_str_mv |
AT aarakhimov onthelocalizationoftherieszmeansofmultiplefourierseriesofdistributions |
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1725593454997667840 |