Almost everywhere and norm convergence of the inverse continuous wavelet transform in Pringsheim's sense
The inverse wavelet transform is studied with the help of the summability means of Fourier transforms. Norm and almost everywhere convergence of the inversion formula is obtained for Lp functions. The points of the set of the almost everywhere convergence are characterized as the Lebesgue points.
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2016
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| Sorozat: | Acta scientiarum mathematicarum
82 No. 1-2 |
| Kulcsszavak: | Hullám átalakítás, Pringsheim értelmezés, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-014-295-8 |
| Online Access: | http://acta.bibl.u-szeged.hu/40281 |
| Tartalmi kivonat: | The inverse wavelet transform is studied with the help of the summability means of Fourier transforms. Norm and almost everywhere convergence of the inversion formula is obtained for Lp functions. The points of the set of the almost everywhere convergence are characterized as the Lebesgue points. |
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| Terjedelem/Fizikai jellemzők: | 125-146 |
| ISSN: | 0001-6969 |