Parseval identity

For

f, g \in L^{2} (R^{n})

and the convention

f (ξ) = \int f (x) e^{- i x \cdot ξ} d x

\int_{R^{n}} f (x) \overline{g (x)} d x = \frac{1}{( 2 π ) ^{n}} \int_{R^{n}} f (ξ) \overline{g (ξ)} d ξ .

 Ancestors (5)