On the divergence of double Fourier-Walsh-Paley series of continuous functions
In this paper we prove that there exists a continuous function on [0, 1)2 , with a certain smoothness, whose double Fourier–Walsh–Paley series diverges by rectangles on a set of positive measure.
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2020
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| Sorozat: | Acta scientiarum mathematicarum
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| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-019-319-0 |
| Online Access: | http://acta.bibl.u-szeged.hu/69373 |
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| 100 | 1 | |a Getsadze Rostom | |
| 245 | 1 | 3 | |a On the divergence of double Fourier-Walsh-Paley series of continuous functions |h [elektronikus dokumentum] / |c Getsadze Rostom |
| 260 | |c 2020 | ||
| 300 | |a 287-302 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum | |
| 520 | 3 | |a In this paper we prove that there exists a continuous function on [0, 1)2 , with a certain smoothness, whose double Fourier–Walsh–Paley series diverges by rectangles on a set of positive measure. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/69373/1/math_086_numb_001-002_287-302.pdf |z Dokumentum-elérés |