关于p-adic数域上的窗口Fourier变换(英文)

On the windowed Fourier transform in the field Qp of p - adic numbers

在P-adic数域上定义了窗口Fourier变换的概念和阶梯函数的概念,并且证明了关于任意的模函数g∈l2(Qp)的函数f窗口Fourier变换仍然是一个模函数,给出了具体的计算公式,充分利用了p-adic数域的优良性质,得到了用∑计算的窗口Fourier变换的计算公式。

With the introduction of the notion of transform of windowed Fourier into the p - adic number field and the notion of step function into Qp, it is demonstrated that for function f of any given modular function g∈L2(Qp), the windowed Fourier transform of f with respect to g is a modular function and is expressible as summation of form.