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.
DOI : 10.4064/sm-118-3-285-300
Mots-clés : equiconvergence, Laguerre series, Hankel transform

Krzysztof Stempak 1

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  - 
%0 Journal Article
%A Krzysztof Stempak
%T Equiconvergence for Laguerre function series
%J Studia Mathematica
%D 1996
%P 285-300
%V 118
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-118-3-285-300/
%R 10.4064/sm-118-3-285-300
%G fr
%F 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

Cité par Sources :