Question

From the basic Fourier analysis, given a function ψ(x), how can we define its Fourier transform?

Answer 1

The Fourier transform is a mathematical tool used to transform a function in the time/space domain into a function in the frequency domain.

Step-by-step explanation:

The Fourier transform is a mathematical tool used in the field of Fourier analysis to transform a function in the time/space domain into a function in the frequency domain. It is represented by the equation:

F(k) = ∫ ψ(x) * e-2πikx dx

Where ψ(x) is the original function, F(k) is the Fourier transform of ψ(x), and k is the frequency variable.