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Divergent Cesàro and Riesz Means of Jacobi and Laguerre Expansions

Christopher Meaney
Proceedings of the American Mathematical Society
Vol. 131, No. 10 (Oct., 2003), pp. 3123-3128
Stable URL: http://www.jstor.org/stable/1194444
Page Count: 6
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Divergent Cesàro and Riesz Means of Jacobi and Laguerre Expansions
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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 .

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