alt Hacker News>The Fourier Transform is one of deepest insights ever made.
No, it is not. In fact it is quite a superficial example of a much deeper theory, behind functions, their approximations and their representations.
>The Fourier Transform is one of deepest insights ever made.
No, it is not. In fact it is quite a superficial example of a much deeper theory, behind functions, their approximations and their representations.
The Fourier transform predates functional analysis by a century. I don't see the point in downplaying its significance just because 'duh it's simply a unitary linear operator on L2'.