On convergence and divergence of Fourier-Bessel series
Electronic transactions on numerical analysis, Tome 14 (2002), pp. 223-235
We furnish another proof, based on an idea of Prestini [13], of a maximal inequality for the partial sum operators of Fourier-Bessel expansions proved by Guadalupe, P$\acute $erez, Ruiz and Varona [8]. Divergence results and mean convergence are also discussed.
Classification :
42C10
Keywords: Fourier-Bessel expansions, almost everywhere and norm convergence
Keywords: Fourier-Bessel expansions, almost everywhere and norm convergence
@article{ETNA_2002__14__a0,
author = {Stempak, Krzysztof},
title = {On convergence and divergence of {Fourier-Bessel} series},
journal = {Electronic transactions on numerical analysis},
pages = {223--235},
year = {2002},
volume = {14},
zbl = {1042.42024},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2002__14__a0/}
}
Stempak, Krzysztof. On convergence and divergence of Fourier-Bessel series. Electronic transactions on numerical analysis, Tome 14 (2002), pp. 223-235. http://geodesic.mathdoc.fr/item/ETNA_2002__14__a0/