Let (u in mathcal{L}^{1}left(mathbb{R}^{n}, lambda^{n}ight)) and (epsilon>0). Show that (int u(epsilon x) d x=epsilon^{-n} int u(y) d

Question:

Let \(u \in \mathcal{L}^{1}\left(\mathbb{R}^{n}, \lambda^{n}ight)\) and \(\epsilon>0\). Show that \(\int u(\epsilon x) d x=\epsilon^{-n} \int u(y) d y\).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  answer-question
Question Posted: