For \(f\in L^1(\RR^n)\), the Fourier transform of \(f\) is the function \(\widehat f\colon\RR^n\to\CC\) given by \[ \widehat f(\xi) \coloneqq \int_{\RR^n} f(x)e^{-2\pi i x\cdot\xi}\,dx, \qquad \xi\in\RR^n. \]
Fourier transform
D-5LZQ4
D-5LZQ4
For \(f\in L^1(\RR^n)\), the Fourier transform of \(f\) is the function \(\widehat f\colon\RR^n\to\CC\) given by \[ \widehat f(\xi) \coloneqq \int_{\RR^n} f(x)e^{-2\pi i x\cdot\xi}\,dx, \qquad \xi\in\RR^n. \]