一元广义函数Fourier变换定义的讨论  

A Discussion about Definition of Fourier Transform of Generalized Function of a Single Variable

作　　者：祝同江[1] 

机构地区：[1]北京理工大学应用数学系,北京100081

出　　处：《北京理工大学学报》2000年第2期133-138,共6页Transactions of Beijing Institute of Technology

摘　　要：研究解析泛函Fourier逆变换的定义和计算公式．给出广义函数Fourier变换的新定义．广义函数Fourier变换的定义被推广到解析泛函的情形，用新定义建立了解析泛函Fourier逆变换的计算公式．To make researches on the definition of inverse Fourier transforms of the analytic functionals and forrnula for its computation, a new definition of Fourier transforms of generalized functions was given. The definition of Fourier transforms of generalized functions was extended to the case of the analytic functionals, and the formula for computing inverse Fourier transforms of the analytic functionals was set up by the new definition.

关 键 词：解析泛函 一元广义函数 计算公式 傅里叶变换 

分 类 号：O174.22[理学—数学]