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.