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Proving Fourier transform-related identities

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#fourier-analysis #convolution #fourier-transform
40
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Series name and closed form?

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#sequences-and-series #discrete-mathematics #convolution
5k
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Convolution of a step function with itself

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#complex-analysis #fourier-analysis #convolution
40.1k
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Proof of associativity of convolution

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#calculus #convolution
26
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Convolutions mixing numbers of different algebras creating filter-banks in the simpler algebra.

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#linear-algebra #abstract-algebra #matrices #convolution #signal-processing
3.6k
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Proof that sum of independent normals is normal using convolutions

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#integration #probability-distributions #normal-distribution #convolution
688
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Fourier Transform for fourth order PDE (transverse displacement in elastic bar).

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#partial-differential-equations #convolution #fourier-transform
2.5k
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Orthogonality of Periodic Sinc function

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#convolution #orthogonality #periodic-functions
58
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Is there a name for the general type of operation that sweeps a kernel over a function (e.g. like convolution, morph. dilation, registration, etc)

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#definition #transformation #convolution #integral-transforms
7.3k
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Proof of Convolution Theorem for three functions, using Dirac delta

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#fourier-analysis #convolution #fourier-transform #dirac-delta
43
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Solve $2y(x)+\int_{-\infty}^{\infty}g(x-t)y(t)dt = g(x)$ using Fourier Transforms

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#complex-analysis #fourier-analysis #convolution
389
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Setting the limit while finding convolution

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#convolution
597
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Doubt relating to Laplace transform, eigenfunction and LTI systems

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#laplace-transform #convolution #eigenfunctions
344
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How do we find the inverse Laplace transform of $\frac{1}{(s^2+a^2)^2}$?

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#ordinary-differential-equations #laplace-transform #convolution
844
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Feedback loop and Impulse Functions. How to find the response?

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#convolution #signal-processing #linear-control

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