I already understand this material 3days ago but it is a little difficult for me to type the latex… 1. Introduction There is two space to understand a function’s behaviour, the physics space and the frequency space (Why thing going like this? Why there is such a duality?). Namely, we have: $latex \displaystyle \hat f(\xi)=\int_{{\mathbb R}^d}e^{2\pi i\xi x}f(x)dx \ \ \ \ \ (1)&fg=000000$ The key point is, waves is a parameter group of scaling of definition of a cons…