Question

If the topology of locally compact topological group G is not discrete, then haar measure of singlton is zero $\mu(\{x\})=0$

score 119 · Answer 1 · 2026-03-26 06:23:09

119

Views

If the topology of locally compact topological group G is not discrete, then haar measure of singlton is zero $\mu(\{x\})=0$

Published on 26 Mar 2026 - 6:23

score 308 · Answer 2 · 2026-03-26 06:19:01

308

Views

Haar measures are decomposable

Published on 26 Mar 2026 - 6:19

score 65 · Answer 3 · 2026-03-26 11:03:14

65

Views

Maximum Value Principle: if $u$ is harmonic on $\{x+iy:0 <x<1\}, u(x+iy) \leq A cosh(ky)$, then $u \leq (1-x)A_0 + xA_1$ where $A_t = \sup\{u(t+iy)\}$

Published on 26 Mar 2026 - 11:03

score 41 · Answer 4 · 2026-03-28 05:28:57

41

Views

Why does a multiplicative functional $m \in \Delta_A$ extend uniquely to $m^e \in \Delta_{A^e}$?

Published on 28 Mar 2026 - 5:28

score 244 · Answer 5 · 2026-03-29 05:50:16

244

Views

If the associated spectral measures are singular then the corresponding vectors are orthogonal

Published on 29 Mar 2026 - 5:50

score 185 · Answer 6 · 2023-03-26 20:38:42

185

Views

Why is the wiener algebra a subset of continuous functions

Published on 26 Mar 2023 - 20:38

score 67 · Answer 7 · 2026-03-30 03:35:24

67

Views

$0\leq u\leq P_r\implies u=\lambda P_r$

Published on 30 Mar 2026 - 3:35

score 58 · Answer 8 · 2026-03-25 04:41:13

58

Views

The support of the parametrix of laplacian

Published on 25 Mar 2026 - 4:41

score 231 · Answer 9 · 2026-03-26 06:19:48

231

Views

Are Haar measures localizable?

Published on 26 Mar 2026 - 6:19

score 74 · Answer 10 · 2023-03-29 20:51:29

74

Views

interpretation of Walsh spectrum

Published on 29 Mar 2023 - 20:51

score 53 · Answer 11 · 2026-04-02 00:27:46

53

Views

Compactness and discreteness of the dual group $\hat{G}$

Published on 02 Apr 2026 - 0:27

score 183 · Answer 12 · 2023-03-31 01:19:58

183

Views

What is the inverse Fourier transform of the japanese bracket $(1+4\pi^2|\xi|^2)^{-s/2}, s>0$ in $\mathbb{R}^d$ and how does it decay?

Published on 31 Mar 2023 - 1:19

score 171 · Answer 13 · 2026-03-26 04:16:06

171

Views

Proof of the Gelfand-Naimark Theorem

Published on 26 Mar 2026 - 4:16

score 83 · Answer 14 · 2026-04-01 14:52:41

83

Views

Show that a distribution with compact support $K$ is annihilated by smooth functions supported outside $K$ only in $\mathbb{R}^2$ or $\mathbb{R}$.

Published on 01 Apr 2026 - 14:52

score 81 · Answer 15 · 2026-03-26 01:08:01

81

Views

Automorphic representations which are trivial at the archimedean place

Published on 26 Mar 2026 - 1:08

List Question

If the topology of locally compact topological group G is not discrete, then haar measure of singlton is zero $\mu(\{x\})=0$

Haar measures are decomposable

Maximum Value Principle: if $u$ is harmonic on $\{x+iy:0 <x<1\}, u(x+iy) \leq A cosh(ky)$, then $u \leq (1-x)A_0 + xA_1$ where $A_t = \sup\{u(t+iy)\}$

Why does a multiplicative functional $m \in \Delta_A$ extend uniquely to $m^e \in \Delta_{A^e}$?

If the associated spectral measures are singular then the corresponding vectors are orthogonal

Why is the wiener algebra a subset of continuous functions

$0\leq u\leq P_r\implies u=\lambda P_r$

The support of the parametrix of laplacian

Are Haar measures localizable?

interpretation of Walsh spectrum

Compactness and discreteness of the dual group $\hat{G}$

What is the inverse Fourier transform of the japanese bracket $(1+4\pi^2|\xi|^2)^{-s/2}, s>0$ in $\mathbb{R}^d$ and how does it decay?

Proof of the Gelfand-Naimark Theorem

Show that a distribution with compact support $K$ is annihilated by smooth functions supported outside $K$ only in $\mathbb{R}^2$ or $\mathbb{R}$.

Automorphic representations which are trivial at the archimedean place

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