Cesàro Summability of Fourier Orthogonal Expansions on the Cylinder

Details Cesàro Summability of Fourier Orthogonal Expansions on the Cylinder Cesàro Summability of Fourier Orthogonal Expansions on the Cylinder

2011-11-02

arxiv.org/abs/1111.0363v2

Mathematics

Classical Analysis and ODEs

Scientific paper

A result concerning the Ces\`aro summability of the Fourier orthogonal
expansion of a function on the cylinder, where the orthogonal basis consists of
orthogonal polynomials, in the $L^p$ norms is presented. An upper bound for
critical index $\delta$ is obtained.

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