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
@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/}
}
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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/