Summation processes viewed from the Fourier properties of continuous unimodular functions on the circle

Jean-Pierre Kahane. "Summation processes viewed from the Fourier properties of continuous unimodular functions on the circle." Banach Center Publications 95.1 (2011): 75-87. <http://eudml.org/doc/282226>.

@article{Jean2011,
abstract = {The main purpose of this article is to give a new method and new results on a very old topic: the comparison of the Riemann processes of summation (R,κ) with other summation processes. The motivation comes from the study of continuous unimodular functions on the circle, their Fourier series and their winding numbers. My oral presentation in Poznań at the JM-100 conference exposed the ways by which this study was developed since the fundamental work of Brézis and Nirenberg on the topological degree [5]. I shall shorten the historical part in the present article; it can be found in [3], [8] and [9].},
author = {Jean-Pierre Kahane},
journal = {Banach Center Publications},
keywords = {topological degree; ; 1); Lipschitz classes},
language = {eng},
number = {1},
pages = {75-87},
title = {Summation processes viewed from the Fourier properties of continuous unimodular functions on the circle},
url = {http://eudml.org/doc/282226},
volume = {95},
year = {2011},
}

TY - JOUR
AU - Jean-Pierre Kahane
TI - Summation processes viewed from the Fourier properties of continuous unimodular functions on the circle
JO - Banach Center Publications
PY - 2011
VL - 95
IS - 1
SP - 75
EP - 87
AB - The main purpose of this article is to give a new method and new results on a very old topic: the comparison of the Riemann processes of summation (R,κ) with other summation processes. The motivation comes from the study of continuous unimodular functions on the circle, their Fourier series and their winding numbers. My oral presentation in Poznań at the JM-100 conference exposed the ways by which this study was developed since the fundamental work of Brézis and Nirenberg on the topological degree [5]. I shall shorten the historical part in the present article; it can be found in [3], [8] and [9].
LA - eng
KW - topological degree; ; 1); Lipschitz classes
UR - http://eudml.org/doc/282226
ER -