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How to integrate moving Heaviside block?

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#integration #convolution #characteristic-functions
89
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Is there a well defined convolution where Fubini's theorem fails?

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#lebesgue-integral #convolution #iterated-integrals
100
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Show that $g_1(\mu_1,\sigma_1)\ast g_2(\mu_2,\sigma_2)=g\left(\mu_1+\mu_2,\sqrt{\sigma_1^2+\sigma_2^2}\right)$

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#integration #fourier-analysis #fourier-transform #convolution
996
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Convolution is well defined in $L^1$

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#measure-theory #convolution
512
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Commutative Convolution. Problem 26 Royden 2 ed.

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#real-analysis #measure-theory #convolution
589
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Approximate Identity

Published on
#convolution
102
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Integro-differential equation including a convolution of the first derivative.

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#ordinary-differential-equations #convolution #boundary-value-problem #integro-differential-equations
54
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Solving for moments of $u(x,t)$ given the equation $u_t=xu+f\ast u$

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#ordinary-differential-equations #partial-differential-equations #dynamical-systems #convolution
936
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Young's convolution inequality: Equivalent representations

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#measure-theory #inequality #convolution #young-inequality
253
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Given an input image of 128x128, and output 29x29. What is the size of the area of the input that is middle pix in output

Published on
#convolution #machine-learning #neural-networks
113
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find the probability about sum of random variables

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#probability #multivariable-calculus #probability-distributions #convolution #uniform-distribution
250
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Convolution theorem for a function that doesn't vanish at infinity

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#ordinary-differential-equations #fourier-analysis #convolution
340
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Why does $\int_{-\infty}^\infty f(x-y)g(y)dy$ exists when $\int_{-\infty}^\infty f(x)dx<\infty$ and $\int_{-\infty}^\infty g(x)dx<\infty$

Published on
#real-analysis #convolution
123
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Effect of a convolution with a Bernoulli distribution on Rényi divergence

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#probability-distributions #convolution #maxima-minima #entropy
137
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Is there a preference if one of the functions in convolution of Mellin transform is divergent?

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#integration #convolution #mellin-transform

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