Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 33

Fourier's Integral Theorem

 * $33.1$: Fourier's Integral Theorem

Fourier Transforms

 * $33.7$ Fourier Transform: $\displaystyle \map \FF {\map f x} = \map F \alpha := \int_{-\infty}^\infty \map f x e^{-i \alpha x} \rd x$:


 * $33.8$ Inverse Fourier Transform: $\displaystyle \map \FF {\map F \alpha} = \map f x := \int_{-\infty}^\infty \map F \alpha e^{i \alpha x} \rd \alpha$: