Divergent Cesàro and Riesz means of Jacobi and Laguerre expansions

Christopher Meaney*

*Corresponding author for this work

    Research output: Contribution to journalArticle

    5 Citations (Scopus)
    1 Downloads (Pure)


    We show that for δ below certain critical indices there are functions whose Jacobi or Laguerre expansions have almost everywhere divergent Cesàro and Riesz means of order δ.

    Original languageEnglish
    Pages (from-to)3123-3128
    Number of pages6
    JournalProceedings of the American Mathematical Society
    Issue number10
    Publication statusPublished - Oct 2003

    Bibliographical note

    Copyright 2003 American Mathematical Society. First published in Proceedings of the American Mathematical Society,Volume 131, Issue 10, published by the American Mathematical Society. The original article can be found at http://dx.doi.org/10.1090/S0002-9939-02-06853-3.

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