Abstract
Several problems on Fourier series and trigonometric approximation on regular hexagonal and triangular domains are studied. The results include Abel and Cesàro summability of Fourier series, degree of approximation, and best approximation by trigonometric functions with both direct and inverse theorems. One of the objectives of this study is to demonstrate that Fourier series on spectral sets enjoy a rich structure that permits an extensive theory for Fourier series and approximation.
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Communicated by Pencho Petrushev.
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Xu, Y. Fourier Series and Approximation on Hexagonal and Triangular Domains. Constr Approx 31, 115–138 (2010). https://doi.org/10.1007/s00365-008-9034-y
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DOI: https://doi.org/10.1007/s00365-008-9034-y