arXiv:0802.0316 Abstract | arXiv Analytics

arXiv:0802.0316 [math.CA]Abstract References Reviews Resources

Fourier series and approximation on hexagonal and triangular domains

Published 2008-02-04Version 1

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.

Comments: 19 pages, 2 figures

Categories: math.CA

Subjects: 42B08, 41A25, 41A63

Keywords: fourier series, triangular domains, spectral sets enjoy, fourier expansions, trigonometric functions

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