In the Fourier transform $\hat{f}=\int_{\mathbb{R}^n}f(x)\exp(-2\pi j w x)$. What is a value of $|\exp(-2\pi j w x)|$?
Module of exponential function
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functional-analysis
1 Answers
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If $w\in\mathbb{R}^n$ and $j$ is the imaginary unit (what I ussually call $i$), then $|e^{-2\,\pi\,j\,w\cdot x}|=1$.
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0ok, understand thanks – 2012-10-24