List questions from convolution

Published on 22 Feb 2018 - 5:54

79

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Prove that $\|f\|_{p,q}= \inf\{\|g\|_p+\|h\|_q;f=g+h, g \in L^p(R), h \in L^q(R)\}$ is a norm on $L^p(R)+L^q(R) $

Published on 24 Mar 2026 - 22:01

72

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Show that $N(f)= \inf\{\|g\|_p+\|h\|_q;f=g+h, g \in L^p(\mathbb{R}), h \in L^q(\mathbb{R})\}$ is a norm on $L^p(\mathbb{R})+L^q(\mathbb{R}) $

Published on 24 Feb 2018 - 9:45

211

Views

Complex Conjugate confusion

Published on 24 Feb 2018 - 11:56

191

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Convolution identically $0$ implies $f =0$?

Published on 24 Feb 2018 - 19:00

1.4k

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Behavior of infinite convolution products

Published on 25 Feb 2018 - 14:34

176

Views

Least squares convolution

Published on 16 Mar 2026 - 22:20

332

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The measurability of convolution in locally compact group

Published on 17 Mar 2026 - 13:28

94

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Convolution Layer CS321n

Published on 24 Mar 2026 - 23:52

100

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Can one take the Hilbert transform of an infinite-time "filtered" signal?

Published on 17 Mar 2026 - 3:08

52

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How to show the function achieves maximum at $a = 0$

Published on 27 Feb 2018 - 22:55

215

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Show that $f * F$ is locally integrable

Published on 01 Mar 2018 - 21:44

68

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Calculation of triangle properties by having side length and angle distributions

Published on 02 Mar 2018 - 14:08

1.6k

Views

Convolution of a function and a measure.

Published on 17 Mar 2026 - 13:21

590

Views

Laplace transform of $\ddot{x} +4x = f(t)$

Published on 06 Mar 2018 - 10:14

List Question

Showing a particular convolution is associative

Prove that $\|f\|_{p,q}= \inf\{\|g\|_p+\|h\|_q;f=g+h, g \in L^p(R), h \in L^q(R)\}$ is a norm on $L^p(R)+L^q(R) $

Show that $N(f)= \inf\{\|g\|_p+\|h\|_q;f=g+h, g \in L^p(\mathbb{R}), h \in L^q(\mathbb{R})\}$ is a norm on $L^p(\mathbb{R})+L^q(\mathbb{R}) $

Complex Conjugate confusion

Convolution identically $0$ implies $f =0$?

Behavior of infinite convolution products

Least squares convolution

The measurability of convolution in locally compact group

Convolution Layer CS321n

Can one take the Hilbert transform of an infinite-time "filtered" signal?

How to show the function achieves maximum at $a = 0$

Show that $f * F$ is locally integrable

Calculation of triangle properties by having side length and angle distributions

Convolution of a function and a measure.

Laplace transform of $\ddot{x} +4x = f(t)$

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