傅里叶级数的经典理论：解密与推广
Classical Theory of Fourier Series:Demystified and Generalised
摘要：
对区间上的黎曼可积函数及其上的一点，定义了“区间上一点处的傅里叶级数”，并给出了函数元如何及何时可表示为傅里叶级数.在此过程中，引入了有限傅里叶级数、右/左傅里叶级数等概念，推广了这一理论.还归纳了与等差数列中的项相对应的子级数，基本的傅里叶级数。
英文摘要：
For a Riemann integrable function on an interval and for a point therein,we define 'Fourier series at the point on the interval' and bring out how and when the function element becomes expressible as Fourier series.In this process,we also generalise the theory by bringing in such concepts as finite Fourier series,right/left hand Fourier series.We also sum up subseries corresponding to terms in an arithmetic progression,of the basic Fourier series.
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