We apply a construction of generalized twisted convolution to investigate almost everywhere summability of expansions with respect to the orthonormal system of functions , n = 0,1,2,..., in , a ≥ 0. We prove that the Cesàro means of order δ > a + 2/3 of any function , 1 ≤ p ≤ ∞, converge to f a.e. The main tool we use is a Hardy-Littlewood type maximal operator associated with a generalized Euclidean convolution.
@article{bwmeta1.element.bwnjournal-article-smv100i2p129bwm,
author = {Krzysztof Stempak},
title = {Almost everywhere summability of Laguerre series},
journal = {Studia Mathematica},
volume = {100},
year = {1991},
pages = {129-147},
zbl = {0731.42027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv100i2p129bwm}
}
Stempak, Krzysztof. Almost everywhere summability of Laguerre series. Studia Mathematica, Tome 100 (1991) pp. 129-147. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv100i2p129bwm/
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