grandes-ecoles 2012 QI.A.2

grandes-ecoles · France · centrale-maths1__mp Sequences and Series Properties and Manipulation of Power Series or Formal Series
Let $f, g \in C(\mathbb{R})$ be such that $f * g(x)$ is defined for every real $x$. Show that $f * g = g * f$.
Let $f, g \in C(\mathbb{R})$ be such that $f * g(x)$ is defined for every real $x$. Show that $f * g = g * f$.