Fourier series and approximation on hexagonal and triangular domains

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Several problems on Fourier series and trigonometric approximation on a hexagon and a triangle are studied. The results include Abel and Cesàro summability of Fourier series, degree of approximation and best approximation by trigonometric functions, both direct and inverse theorems. One of the objective of this study is to demonstrate that Fourier series on spectral sets enjoy a rich structure that allow an extensive theory for Fourier expansions and approximation.
19 pages, 2 figures

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Classical Analysis and ODEs, 42B08, 41A25, 41A63

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http://salesiana.dossiersoluciones.com/handle/123456789/154051

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.0316
 http://arxiv.org/abs/0802.0316

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arXiv