Divergent Cesàro and Riesz means of Jacobi and Laguerre expansions | Macquarie University ResearchOnline

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Title: Divergent Cesàro and Riesz means of Jacobi and Laguerre expansions
Related: Proceedings of the American Mathematical Society, Vol. 131, Issue 10, p.3123-3128
DOI: 10.1090/S0002-9939-02-06853-3
Publisher: American Mathematical Society
Date: 2003
Author/Creator: Meaney, Christopher
Description: 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.
Description: 6 page(s)
Subject Keyword: Jacobi polynomial
Subject Keyword: Laguerre function
Subject Keyword: Cesàro mean
Subject Keyword: Riesz mean
Subject Keyword: Cantor-Lebesgue Theorem
Subject Keyword: uniform boundedness
Resource Type: journal article
Organisation: Macquarie University. Dept. of Mathematics

Identifier: http://hdl.handle.net/1959.14/43518
Identifier: ISSN:1088-6826
Identifier: mq-rm-2003016996
Language: eng
Rights: 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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