Geodesic
Almost everywhere summability of Laguerre series. II
Studia Mathematica, Tome 103 (1992) no. 3, pp. 317-327

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Using methods from [9] we prove the almost everywhere convergence of the Cesàro means of Laguerre series associated with the system of Laguerre functions $L^a_n(x) = (n!/Γ(n+a+1))^{1/2} e^{-x/2} x^{a/2} L_n^a(x)$, n = 0,1,2,..., a ≥ 0. The novel ingredient we add to our previous technique is the $A_p$ weights theory. We also take the opportunity to comment and slightly improve on our results from [9].
DOI : 10.4064/sm-103-3-317-327
Keywords: Laguerre expansions, Cesàro means, almost everywhere convergence

K. Stempak 1

1 
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K. Stempak. Almost everywhere summability of Laguerre series. II. Studia Mathematica, Tome 103 (1992) no. 3, pp. 317-327. doi: 10.4064/sm-103-3-317-327

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