- #1
mnb96
- 715
- 5
Hello,
Let's suppose we are given a function [itex]f:\mathbb{R}\rightarrow \mathbb{R}[/itex], and we assume its Fourier transform [itex]F=\mathcal{F}(f)[/itex] exists and has compact support.
What sufficient condition could we impose on f, in order to be sure that F is also bounded?
Let's suppose we are given a function [itex]f:\mathbb{R}\rightarrow \mathbb{R}[/itex], and we assume its Fourier transform [itex]F=\mathcal{F}(f)[/itex] exists and has compact support.
What sufficient condition could we impose on f, in order to be sure that F is also bounded?