Fourier変換

$ \mathcal F(f)(\omega):=\frac1{\sqrt{2\pi}}\int_\R f(t)e^{-i\omega t}\mathrm dt

多次元版

$ \mathcal F(f)(\omega):=\frac1{(2\pi)^\frac n2}\int_{\R^n} f(t)e^{-i\bm k\cdot\bm x}\mathrm d\bm x

2025-05-26以前

$ \mathcal F(f)(\omega):=\int_\R f(t)e^{-i\omega t}\mathrm dt

References