Order of magnitude of multiple Fourier coefficients of functions of bounded p-variation having lacunary Fourier series
For a Lebesgue integrable complex-valued function / defined over the m-dimensional torus Tm := [0,27r)m, let /(n) denote the Fourier coefficient of/, where n = (n(1) ,... ,n(m)) 6 Zm. Recently, in [Acta Math. Hungar., 128 (2010), 328-343], we have defined the notion of bounded p-variation (p > 1)...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2012
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| Sorozat: | Acta scientiarum mathematicarum
78 No. 1-2 |
| Kulcsszavak: | Matematika, Fourier-sor |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16421 |
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| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Ghodadra Bhikha Lila | |
| 245 | 1 | 0 | |a Order of magnitude of multiple Fourier coefficients of functions of bounded p-variation having lacunary Fourier series |h [elektronikus dokumentum] / |c Ghodadra Bhikha Lila |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2012 | ||
| 300 | |a 97-109 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 78 No. 1-2 | |
| 520 | 3 | |a For a Lebesgue integrable complex-valued function / defined over the m-dimensional torus Tm := [0,27r)m, let /(n) denote the Fourier coefficient of/, where n = (n(1) ,... ,n(m)) 6 Zm. Recently, in [Acta Math. Hungar., 128 (2010), 328-343], we have defined the notion of bounded p-variation (p > 1) for a complex-valued function on a rectangle [ai, bi] x • • • x [am. bm] and studied the order of magnitude of Fourier coefficients of such functions on [0, 27r]m. In this paper, the order of magnitude of Fourier coefficients of a function of bounded p-variation (p > 1) from [0, 2tt] rn to C and having lacunary Fourier series with certain gaps is studied and a result analogous to Theorem 2 in [Acta Math. Hungar., 104 (2004), 95-104] and Theorem 2 in [Acta Math. Hungar., 128 (2010), 328-343] is proved. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika, Fourier-sor | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/16421/1/math_078_numb_001_002_097-109.pdf |z Dokumentum-elérés |