Fourier series and approximation on hexagonal and triangular domains - Mathematics > Classical Analysis and ODEsReport as inadecuate




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Abstract: Several problems on Fourier series and trigonometric approximation on ahexagon and a triangle are studied. The results include Abel and Ces\`arosummability of Fourier series, degree of approximation and best approximationby trigonometric functions, both direct and inverse theorems. One of theobjective of this study is to demonstrate that Fourier series on spectral setsenjoy a rich structure that allow an extensive theory for Fourier expansionsand approximation.



Author: Yuan Xu

Source: https://arxiv.org/







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