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Results tagged with fourier-analysis
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user 158433
The representation of functions (or objects which are in some generalize the notion of function) as constant linear combinations of sines and cosines at integer multiples of a given frequency, as Fourier transforms or as Fourier integrals.
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Fourier transform of (real) exponential
The Fourier transform of $f_{\lambda}\left(\omega\right)=2\sqrt{\pi\lambda}e^{\left(a+i\omega\right)^{2}\lambda}$ is $e^{as-s^{2}/\left(4\lambda\right)}$. This approximates the exponential function fo …
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