Equiconvergence for Laguerre function series
Studia Mathematica, Tome 118 (1996) no. 3, pp. 285-300
Voir la notice de l'article provenant de 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.
Mots-clés :
equiconvergence, Laguerre series, Hankel transform
Affiliations des auteurs :
Krzysztof Stempak 1
@article{10_4064_sm_118_3_285_300,
author = {Krzysztof Stempak},
title = {Equiconvergence for {Laguerre} function series},
journal = {Studia Mathematica},
pages = {285--300},
publisher = {mathdoc},
volume = {118},
number = {3},
year = {1996},
doi = {10.4064/sm-118-3-285-300},
language = {fr},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-118-3-285-300/}
}
TY - JOUR AU - Krzysztof Stempak TI - Equiconvergence for Laguerre function series JO - Studia Mathematica PY - 1996 SP - 285 EP - 300 VL - 118 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-118-3-285-300/ DO - 10.4064/sm-118-3-285-300 LA - fr ID - 10_4064_sm_118_3_285_300 ER -
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
Cité par Sources :