I want to calculate
$$ \int_{\mathbb{S}^{n-1}} e^{-i\lambda \theta \cdot x} d \theta $$
where $\mathbb{S}^{n-1}$ is unit sphere, $\lambda \in (0,\infty)$, and $x \in \mathbb{R}^n$.
Is this possible to write down this value in the elementary functions? (or with some special function?)