What does this Wikipedia quote mean: "In the context of harmonic analysis, a branch of mathematics, the uncertainty principle implies that one cannot at the same time localize the value of a function and its Fourier transform. "?
https://en.wikipedia.org/wiki/Uncertainty_principle#Harmonic_analysis
In particular what does the word "localize" in "localize the value of a function" mean?
If a function is $y=f(x)$, does localizing it's value mean finding the value of $x$ of the function, in other the words what I usually call the argument of the function?
In Swedish we use the word "lokalisera" for "localize". This has the meaning "to find out where something is". So if I know the value of a function, then to localize would mean to tell where that value is. Since we already know what the value of the function is, its y-value, what is left to figure out is to find where at the x-axis the value is. Am I right?