List questions from harmonic-analysis

Published on 11 Apr 2021 - 13:36

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Prove the inequality $\|\mu\ast\nu\|\leq \| \mu\|\| \nu\|$ where $\ast$ denotes convolution of measures in $M(G)$.

Published on 11 Apr 2021 - 17:08

257

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Prove that if locally compact group $G$ is discrete, then the group algebra $L^1(G)$ is unital.

Published on 11 Apr 2021 - 18:58

44

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Continuity of log(x) as a multiplication operator

Published on 11 Apr 2026 - 23:40

52

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Multiplier Operator Norm Estimate

Published on 11 Apr 2026 - 1:44

156

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$L^p$ convergence of certain "average" function

Published on 12 Apr 2026 - 22:42

49

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What is the need of mentioning continuity in the proof of Frobenius reciprocity?

Published on 10 Apr 2026 - 15:50

127

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Can someone provide intuition for Alfsen's proof of the existence and uniqueness of the Haar measure on locally compact groups?

Published on 10 Apr 2026 - 5:36

219

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Generalized form of the Bernstein inequality

Published on 27 Mar 2026 - 16:22

243

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Introduction to Hardy spaces

Published on 11 Apr 2026 - 10:44

242

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Verifying Haar Measure

Published on 12 Apr 2026 - 21:26

98

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A question concerning Tao's proof of Hardy's Uncertainty Principle

Published on 11 Apr 2026 - 22:19

45

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volume estimates for Haar measure

Published on 10 Apr 2026 - 23:43

103

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Expansion of a function in Spherical Harmonics

Published on 10 Apr 2026 - 13:07

150

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Understanding the regular representation of an LCA group as a 'direct integral'

Published on 10 Apr 2026 - 4:26

List Question

f and its fourier transform $\hat{f}$ vanish at integers

Prove the inequality $\|\mu\ast\nu\|\leq \| \mu\|\| \nu\|$ where $\ast$ denotes convolution of measures in $M(G)$.

Prove that if locally compact group $G$ is discrete, then the group algebra $L^1(G)$ is unital.

Continuity of log(x) as a multiplication operator

Multiplier Operator Norm Estimate

$L^p$ convergence of certain "average" function

What is the need of mentioning continuity in the proof of Frobenius reciprocity?

Can someone provide intuition for Alfsen's proof of the existence and uniqueness of the Haar measure on locally compact groups?

Generalized form of the Bernstein inequality

Introduction to Hardy spaces

Verifying Haar Measure

A question concerning Tao's proof of Hardy's Uncertainty Principle

volume estimates for Haar measure

Expansion of a function in Spherical Harmonics

Understanding the regular representation of an LCA group as a 'direct integral'

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