Question

Different methods to compute a unitary representation

score 111 · Answer 1 · 2016-02-27 12:00:22

111

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Different methods to compute a unitary representation

Published on 27 Feb 2016 - 12:00

score 190 · Answer 2 · 2016-02-28 16:01:01

190

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If $G=\mathbb {R}$, how $\hat{f}(\chi)=\int_{G}f(x)\overline{\chi (x)}dx$ becomes $\hat{f}(\xi)=\int_{\mathbb{R}}f(x)e^{-ix\xi}dx$?

Published on 28 Feb 2016 - 16:01

score 389 · Answer 3 · 2026-04-01 11:12:48

389

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Is the product of two subharmonic function necessarily subharmonic?

Published on 01 Apr 2026 - 11:12

score 56 · Answer 4 · 2026-04-01 11:06:28

56

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let $f(x)$ is real polynomial. Can we say that $f(\left| x \right|)$ is subharmonic?

Published on 01 Apr 2026 - 11:06

score 52 · Answer 5 · 2026-03-29 21:02:49

52

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Tensor product of $L^1([0,1],\omega)$ with some Banach space

Published on 29 Mar 2026 - 21:02

score 111 · Answer 6 · 2026-03-26 17:38:23

111

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Proof of existence of a non-trivial character on a local field of positive characteristic

Published on 26 Mar 2026 - 17:38

score 32 · Answer 7 · 2016-03-01 15:08:22

32

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General derivative of composition

Published on 01 Mar 2016 - 15:08

score 30 · Answer 8 · 2026-03-26 06:32:41

30

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Show that $ \sum_{\mathbb{Z}/N\mathbb{Z}} f(n) g(n+r)h(n+2r) = \sum_{a \in \mathbb{Z}/N\mathbb{Z}} \hat{f}(a)\hat{g}(-2a)\hat{h}(a)$

Published on 26 Mar 2026 - 6:32

score 87 · Answer 9 · 2016-03-03 12:07:03

87

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What the expression of a one-dimensional representation of $H$

Published on 03 Mar 2016 - 12:07

score 428 · Answer 10 · 2016-03-05 13:54:46

428

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Matrix representation of Heisenberg group

Published on 05 Mar 2016 - 13:54

score 561 · Answer 11 · 2026-04-01 11:06:29

561

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What is the harmonic conjugate of $u=4xy-3x+5y$?

Published on 01 Apr 2026 - 11:06

score 355 · Answer 12 · 2016-03-06 12:20:37

355

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Applying the Riesz-Thorin Interpolation theorem

Published on 06 Mar 2016 - 12:20

score 71 · Answer 13 · 2016-03-07 15:56:01

71

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Inequality regarding $g (x) \in S(\mathbb{R})$

Published on 07 Mar 2016 - 15:56

score 320 · Answer 14 · 2016-03-07 21:21:38

320

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Show that there is $C_1,C_2$ s.t. $C_1\log(N)\leq\|D_N\|_{L^1(\mathbb S^1)}\leq C_2\log(N)$ where $D_N$ is the dirichelet kernel.

Published on 07 Mar 2016 - 21:21

score 128 · Answer 15 · 2016-03-08 10:28:51

128

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Unitary dual of $\{0\}$ and $\mathbb R$

Published on 08 Mar 2016 - 10:28

List Question

Different methods to compute a unitary representation

If $G=\mathbb {R}$, how $\hat{f}(\chi)=\int_{G}f(x)\overline{\chi (x)}dx$ becomes $\hat{f}(\xi)=\int_{\mathbb{R}}f(x)e^{-ix\xi}dx$?

Is the product of two subharmonic function necessarily subharmonic?

let $f(x)$ is real polynomial. Can we say that $f(\left| x \right|)$ is subharmonic?

Tensor product of $L^1([0,1],\omega)$ with some Banach space

Proof of existence of a non-trivial character on a local field of positive characteristic

General derivative of composition

Show that $ \sum_{\mathbb{Z}/N\mathbb{Z}} f(n) g(n+r)h(n+2r) = \sum_{a \in \mathbb{Z}/N\mathbb{Z}} \hat{f}(a)\hat{g}(-2a)\hat{h}(a)$

What the expression of a one-dimensional representation of $H$

Matrix representation of Heisenberg group

What is the harmonic conjugate of $u=4xy-3x+5y$?

Applying the Riesz-Thorin Interpolation theorem

Inequality regarding $g (x) \in S(\mathbb{R})$

Show that there is $C_1,C_2$ s.t. $C_1\log(N)\leq\|D_N\|_{L^1(\mathbb S^1)}\leq C_2\log(N)$ where $D_N$ is the dirichelet kernel.

Unitary dual of $\{0\}$ and $\mathbb R$

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