On the Lebesgue Summability of Multiple Trigonometric Series
The Lebesgue summability of a trigonometric series is defined in terms of the symmetric differentiability of the sum of the formally integrated trigonometric series in question. In this paper we extend the theorems of Fatou and Zygmund from single to multiple trigonometric series. 2000 Mathematics...
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| Published in | Sarajevo journal of mathematics Vol. 5; no. 2; pp. 257 - 267 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
11.06.2024
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| Online Access | Get full text |
| ISSN | 1840-0655 2233-1964 |
| DOI | 10.5644/SJM.05.2.09 |
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| Summary: | The Lebesgue summability of a trigonometric series is defined in terms of the symmetric differentiability of the sum of the formally integrated trigonometric series in question. In this paper we extend the theorems of Fatou and Zygmund from single to multiple trigonometric series.
2000 Mathematics Subject Classification. 42A24, 42B08 |
|---|---|
| ISSN: | 1840-0655 2233-1964 |
| DOI: | 10.5644/SJM.05.2.09 |