六角域和三角域上的傅里叶级数及其逼近
Fourier series and approximation on hexagonal and triangular domains
摘要：
研究了六边形和三角形上的傅里叶级数和三角逼近的几个问题。结果包括傅里叶级数的Abel和Cesàro可和性，三角函数的逼近阶和最佳逼近，正逆定理.本研究的目的之一是证明谱集上的傅里叶级数具有丰富的结构，从而为傅里叶展开和逼近提供了广泛的理论。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
