通过规范窗口Fourier变换Tw^winf定义了函数列{Fn}n=1^∞,并运用泛函分析理论,证明它按L^2(R)中的范数收敛于f,从而得到窗口Fourier变换的强反演公式。
A function sequence {Fn}n=1^∞,defined by the normalized windowed Fourier transformation Tw^winf,is proved to converge to f in norm by the functional analysis thoery. Thus the strong reconstruction formulas of Tw^winf is established.