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ArticleOriginal scientific text

Title

Equiconvergence for Laguerre function series

Authors 1

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Kopernika 18, 51-617 Wrocław, Poland

Abstract

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.

Keywords

ENG
equiconvergence, Laguerre series, Hankel transform

Bibliography

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  4. [M2] B. Muckenhoupt, Equiconvergence and almost everywhere convergence of Hermite and Laguerre series, SIAM J. Math. Anal. 1 (1970), 295-321.
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Studia Mathematica
1996/118/3
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Pages:
285-300
Main language of publication
English
Received
1995-10-16
Accepted
1995-12-11
Published
1996
Exact and natural sciences