Suppose we have a subspace \(\mathbb{S}\) of \(\mathbb{R}^n\) whose basis consists of \(k\) vectors \(\vec{v}_1,\vec{v}_2, \ldots , \vec{v}_k\). \[ \mathbb{S ...

Let $X$ denote the circle $T$ or the interval $\lbrack - 1, 1 \rbrack$, and let $d\mu$ denote a nonnegative, absolutely continuous measure on $X$. Under what ...