What is the values of the following integral:
$$\int_{w \in S^{n-1}} e^{i\lambda< x,w >} dw.$$ where $i^2=-1,x\in\Bbb R^n;<,>$ the inner product scalar on $\Bbb R^n$ and $S^{n-1}$ the unit sphere of $\Bbb R^n$.
What is the values of the following integral:
$$\int_{w \in S^{n-1}} e^{i\lambda< x,w >} dw.$$ where $i^2=-1,x\in\Bbb R^n;<,>$ the inner product scalar on $\Bbb R^n$ and $S^{n-1}$ the unit sphere of $\Bbb R^n$.