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Displaying similar documents to “About an old problem of Karamata.”

Equiconvergence for Laguerre function series

Krzysztof Stempak (1996)

Studia Mathematica

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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.