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Divergent Cesàro and Riesz means of Jacobi and Laguerre expansions |
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| Authors: | Christopher Meaney |
| Affiliation: | Department of Mathematics, Macquarie University, North Ryde, New South Wales 2109, Australia |
| Abstract: | We show that for  below certain critical indices there are functions whose Jacobi or Laguerre expansions have almost everywhere divergent Cesàro and Riesz means of order  . |
| Keywords: | Jacobi polynomial Laguerre function Ces`aro mean Riesz mean Cantor-Lebesgue Theorem uniform boundedness |
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