On universality and convergence of the Fourier series of functions in the disc algebra-Reference-Cited by-同舟云学术

On universality and convergence of the Fourier series of functions in the disc algebra

Published:2019-03 Issue:1 Volume:137 Page:57-71
ISSN:0021-7670
Container-title:Journal d'Analyse Mathématique
language:en
Short-container-title:JAMA

Author:

Papachristodoulos C.,Papadimitrakis M.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s11854-018-0065-4.pdf

Reference10 articles.

1. F. Bayart and Y. Heurteaux, Multifractal analysis for the divergence of Fourier series: The extreme cases, J. Anal. Math. 124 (2014), 387–408.

2. G. Herzog and P. C. Kunstmann, Universally divergent Fourier series via Landau’s extremal functions, Comment. Math. Univ. Carolinae 56 (2015), 159–168.

3. Y. Katznelson, Introduction to Harmonic Analysis, 3rd edidtion, Cambridge Univ. Press, Cambridge, 2004.

4. J. P. Kahane, Baire’s category theorem and trigonometric series, J. Anal. Math. 80 (2000), 143–182.

5. E. Katsoprinakis, V. Nestoridis, and C. Papachristodoulos, Universality and Cesaro summability, Comp. Methods and Function Theory 12 (2012), 419–448.

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