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Fourier transform and approximate identity on $L^1$

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#functional-analysis #analysis #fourier-transform
185
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Rigorous formulation of 2D Radon transform inversion, filtered backprojection

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#fourier-transform
137
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Probability density of the fractional part of |σZ| as σ→∞?

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#probability-distributions #fourier-analysis #fourier-series #fourier-transform #poisson-summation-formula
523
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Fourier and Laplace Transform and Bode plots

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#laplace-transform #fourier-transform
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Fourier transform of radially symmetric functions + references

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#reference-request #fourier-analysis #polar-coordinates #fourier-transform
540
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Fourier series convergence in $C^\infty(\mathbb{R}^N)$

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#complex-analysis #fourier-analysis #fourier-series #distribution-theory #fourier-transform
99
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Intuitive understanding of some important exponential functions

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#circles #fourier-transform #euler-mascheroni-constant
195
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How to derive scaling factors quickly for convolution theorem?

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#convolution #fourier-transform
35
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what is the fourier transfrom coefficient of $e^{-j\omega t}$?

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#fourier-transform
165
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Example of 1-D Poisson Equation in physics field, engineering field, or others in daily life

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#partial-differential-equations #mathematical-physics #fourier-transform #fast-fourier-transform
114
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Fourier Transform of a Sampling Function

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#multivariable-calculus #fourier-transform
141
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Integrating $\cos^{v-1}x\cos ax$

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#integration #fourier-transform
7.6k
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Why do we use trig functions in Fourier transforms, and not other periodic functions?

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#fourier-analysis #fourier-series #fourier-transform #harmonic-analysis #periodic-functions
44
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Expression for FFT of parametric function

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#fourier-analysis #fourier-transform
1k
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Fourier transform of a linear operator

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#operator-theory #fourier-transform

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