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15
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The uncertainty principle - Why does it imply that we can't localise?

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#fourier-analysis #fourier-transform
22
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Diagonalize a Unitary matrix in Fourier domain

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#linear-algebra #fourier-transform #unitary-matrices
130
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Is this integral solvable analytically?

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#integration #definite-integrals #fourier-transform
54
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Solving partial DE with Fourier transform

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#partial-differential-equations #fourier-transform
27
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Exponential sums related to abelian subgroups

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#group-theory #finite-groups #fourier-transform #abelian-groups #exponential-sum
44
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Derivative of a Fourier transform in $L^2$.

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#fourier-analysis #fourier-transform
43
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Fast Fourier Transform from interferogram

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#physics #fourier-transform #fast-fourier-transform #chemistry
28
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Showing or refuting that $f\leq g$ implies $\left\|\mathcal{F}(f\widehat{u})\right\|_{L^p}\leq \left\|\mathcal{F}(g\widehat{u})\right\|_{L^p}$

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#fourier-analysis #fourier-transform
192
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2-D inverse Fourier transform of Heaviside function

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#integration #fourier-transform #bessel-functions #step-function
43
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Integral representation of the multinomial coefficient $\binom{N}{k_1, \ldots, k_N}$ subject to the constraint $k_1 + \cdots + k_N = N$

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#combinatorics #complex-analysis #fourier-transform #laplace-transform #mellin-transform
64
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Fourier Transform for IR spectroscopy: integral doesn't converge

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#integration #definite-integrals #fourier-transform #chemistry
37
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When is it appropriate to use a Discrete Sine Transform (DST) over a Discrete Fourier Transform (DFT)?

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#partial-differential-equations #fourier-transform
518
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Fourier transform of the top-hat filter

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#fourier-transform
39
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Calculate functions based on asymptotic series

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#sequences-and-series #limits #functions #fourier-transform
115
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The Fourier transform of $\sin(x)\,\operatorname{rect}\left(\frac{x}{2}\right)$

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#fourier-transform

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