Universality and summability of trigonometric polynomials and trigonometric series

被引：0

作者：

L. Bernal-González

M. C. Calderón-Moreno

W. Luh

机构：

[1] Dpto. Analisis Matematico, Universidad de Sevilla, Apdo. de Correos 1160, Sevilla

[2] Fachbereich IV, Mathematik, Universität Trier, Trier

来源：

关键词：

geometric series; P-regularity; Riesz methods; universal matrix transforms; universal trigonometric series;

D O I：

10.1023/A:1025983909311

中图分类号：

学科分类号：

摘要：

[No abstract available]

引用

页码：119 / 133

页数：14

共 14 条

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[2] Bernal-Gonzalez L., Calderon-Moreno M.C., Luh W., Universal Transforms of the Geometric Series under Generalized Riesz Methods
[3] Gaier D., Lectures on complex approximation, (1987)
[4] Grosse-erdmann K.-G., Universal families and hypercyclic operators, Bull. Amer. Math. Soc., 36, pp. 345-381, (1999)
[5] Kahane J.P., Baire's category theorem and trigonometric series, J. Anal. Math., 80, pp. 143-182, (2000)
[6] Kahane J.P., Nestoridis V., Séries de Taylor et séries trigonométriques universelles au sens de Menchoff, J. Math. Pures Appl., 79, 9, pp. 855-862, (2000)
[7] Luh W., Kompakte Summierbarkeit von Potenzreihen im Einheitskreis, Acta. Math. Acad. Sci. Hungar., 28, pp. 51-54, (1976)
[8] Mensov D.E., Sur les séries trigonométrique universelles, Dokl. Acad. Sci. SSSR (N. S.), 49, pp. 79-82, (1945)
[9] Mensov D.E., On the partial sums of trigomometric series, Mat. Sb. (N. S.), 20, pp. 197-238, (1947)
[10] Nestoridis V., Universal Taylor series, Ann. Inst. Fourier, Grenoble, 46, pp. 1293-1306, (1996)