一元广义函数Fourier变换定义的讨论

研究解析泛函Ｆｏｕｒｉｅｒ逆变换的定义和计算公式。给出了广义函数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。

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

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.