The Analysis of Linear Partial Differential Operator Vol.I 2nd Edition Page207 The proof of Lemma 7.6.3 says:
By Theorem 7.1.22 the operator$(-\Delta)^s$ has a parametrix $E$ with support in the open unit ball.
But Theorem 7.1.22 is
Every elliptic operator $P(D)$ with constant coefficients has a parametrix $E$ which is a $C^\infty$ function in $\mathbb{R}^n\setminus \left\{ 0\right\}.$
How to use it to get the support of $E$ is in the open unit ball? Or it's just an error?