自傅里叶-自菲涅尔函数

Self Fourier Fresnel Functions

本文研究双重自变换函数的构造法则，利用狄拉克梳状函数和周期函数构建严格的自傅里叶－自菲涅尔函数，给出其数学证明及其潜在应用的例子。

Studies the construction of double self transformation function.Based on the characteristics of comb function,this paper suggests a recipe to construct exact self Fourier Fresnel functions from periodic functions,and gives a potential application.