Divergent Cesaro and Riesz means of Jacobi and Laguerre expansions

Details Divergent Cesaro and Riesz means of Jacobi and Laguerre expansions Divergent Cesaro and Riesz means of Jacobi and Laguerre expansions

2002-02-04

arxiv.org/abs/math/0202019v1

Mathematics

Classical Analysis and ODEs

8 pages

Scientific paper

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

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