几个重要广义函数的Fourier变换

Fourier Transforms of the Founedons x_±￣λln￣mx_±cos ax and x_±￣λln￣mx_±sin ax

给出了函数ｘλ±ｌｎｍｘ±ｃｏｓ（ａｘ）和ｘ±λｌｎｍｘ±ｓｉｎ（ａｘ）的Ｆｏｕｒｉｅｒ变换，其中λ为复常数（λ≠－１，－２，…），ａ为任意实数，ｍ＝０，１，２．…。

Fourier transforms of the functions x±λlnmx±cos ax and x±λlnmx±sinax are given, where m=0, 1, 2,…, A is a complex number (λ≠-1, -2,…), a is any real number, and