Divergent Cesàro and Riesz means of Jacobi and Laguerre expansions

Meaney, Christopher

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

Divergent Cesàro and Riesz means of Jacobi and Laguerre expansions
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Proc. Amer. Math. Soc. 131 (2003), 3123-3128 Request permission

Abstract:

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

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