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 |
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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 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 287-302 |
| ISSN: | 2064-8316 |