Equiconvergence for Laguerre function series
Tom 118 / 1996
Studia Mathematica 118 (1996), 285-300
DOI: 10.4064/sm-118-3-285-300
Streszczenie
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.
