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Post Closed as "Duplicate" by Francois Ziegler, CommunityBot
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zoran Vicovic
zoran Vicovic
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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;<,>$$\lambda\in\Bbb R, 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 $\Bbb R^n$.

What is the values of the following integral:

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

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zoran Vicovic
zoran Vicovic
  • 501
  • 3
  • 8

Integral over $S^{n-1}$

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 $\Bbb R^n$.