Divergent Cesaro and Riesz means of Jacobi and Laguerre expansions

2002/02/04 by Christopher Meaney, Meaney, Christopher
Mathematics · #Advanced Mathematical Identities #Functional Equations Stability Results #Mathematical functions and polynomials #math.CA #msc:33C45 #msc:42C05 #msc:42C10

paper · pdf · doi:10.48550/arxiv.math/0202019

8 pages

arxiv created 2002/02/04 · arxiv updated 2009/11/30

Abstract

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

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