Equiconvergence for Laguerre function series
Studia Mathematica, Tome 118 (1996) no. 3, pp. 285-300
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We prove an equiconvergence theorem for Laguerre expansions with partial sums related to partial sums of the (non-modified) Hankel transform. Combined with an equiconvergence theorem recently proved by Colzani, Crespi, Travaglini and Vignati this gives, via the Carleson-Hunt theorem, a.e. convergence results for partial sums of Laguerre function expansions.
@article{10_4064_sm_118_3_285_300,
author = {Krzysztof Stempak},
title = {Equiconvergence for {Laguerre} function series},
journal = {Studia Mathematica},
pages = {285--300},
year = {1996},
volume = {118},
number = {3},
doi = {10.4064/sm-118-3-285-300},
language = {fr},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-118-3-285-300/}
}
Krzysztof Stempak. Equiconvergence for Laguerre function series. Studia Mathematica, Tome 118 (1996) no. 3, pp. 285-300. doi: 10.4064/sm-118-3-285-300
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