ThmDex – An index of mathematical definitions, results, and conjectures.
F9615
Formulation 0
Let $M = (\mathbb{R}^D, \mathcal{L}, \mu)$ be a D1744: Lebesgue measure space such that
(i) $f, g : \mathbb{R}^D \to \mathbb{C}$ are each an D1921: Absolutely integrable function on $M$
Let $\lambda \in \mathbb{C}$ be a D1207: Complex number.
Then \begin{equation} (\lambda f) * g = \lambda (f * g) \end{equation}