Fourier series and approximation on hexagonal and triangular domains

Details Fourier series and approximation on hexagonal and triangular domains Fourier series and approximation on hexagonal and triangular domains

2008-02-04

arxiv.org/abs/0802.0316v1

Mathematics

Classical Analysis and ODEs

19 pages, 2 figures

Scientific paper

Several problems on Fourier series and trigonometric approximation on a hexagon and a triangle are studied. The results include Abel and Ces\`aro 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.

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