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Laguerre Expansions on Conic Domains by Xu, Yuan is a scholarly article available to read on EtoBox.

What is Laguerre Expansions on Conic Domains about?

We study the Fourier orthogonal expansions with respect to the Laguerre type weigh functions on the conic surface of revolution and the domain bounded by such a surface. The main results include a closed form formula for the reproducing kernels, which is the kernel of the orthogonal projection operator and a pseudo convolution structure on the conic domain; the latter is shown to be bounded in an appropriate $L^p$ space and used to study mean convergence of the Ces\`aro means of the Laguerre expansions on conic domains.

Author

Xu, Yuan

Published

2021

Language

EN