Divergent Cesàro and Riesz means of Jacobi and Laguerre expansions

Christopher Meaney

doi:10.1090/S0002-9939-02-06853-3

Divergent Cesàro and Riesz means of Jacobi and Laguerre expansions

Christopher Meaney^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

20 Downloads (Pure)

Abstract

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 language	English
Pages (from-to)	3123-3128
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	131
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-02-06853-3
Publication status	Published - 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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title = "Divergent Ces{\`a}ro and Riesz means of Jacobi and Laguerre expansions",

abstract = "We show that for δ below certain critical indices there are functions whose Jacobi or Laguerre expansions have almost everywhere divergent Ces{\`a}ro and Riesz means of order δ.",

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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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AB - 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.

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Divergent Cesàro and Riesz means of Jacobi and Laguerre expansions

Abstract

Bibliographical note

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