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Results tagged with fourier-transform
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user 477390
2
votes
1
answer
315
views
Fourier transform of the indicator function of the semi-ball
I wonder if it is possible to derive an analytical form for the Fourier transform of the indicator function of a semi-ball:
$$g_1(\underline{\xi}) = \int_{\mathcal{B}_+(R)} e^{i \underline{\xi} \cdot …
- 21
0
votes
0
answers
113
views
Parseval identity extension?
I have stumbled upon the following three-dimensional series:
$$\Lambda_p = \sum_{\underline{n}} \left(\frac{\left|n_1\right|}{\left|\left|\underline{n}\right|\right|_2}\right)^p \left|\hat{f}(\underli …
- 21