Question

How can I prove that $\bigcap\limits_{n=0}^{+\infty} \Gamma_{j,n}=\emptyset$?

score 54 · Answer 1 · 2026-03-17 06:01:54

54

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How can I prove that $\bigcap\limits_{n=0}^{+\infty} \Gamma_{j,n}=\emptyset$?

Published on 17 Mar 2026 - 6:01

score 1.1k · Answer 2 · 2026-03-24 23:44:32

1.1k

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Inverse Fourier Transform Formula on $L^2.$

Published on 24 Mar 2026 - 23:44

score 621 · Answer 3 · 2018-02-05 05:40:28

621

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Quantifying a function's Fourier transform's $p$-norm?

Published on 05 Feb 2018 - 5:40

score 92 · Answer 4 · 2026-03-24 23:43:23

92

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Riesz kernel convolution bound with positive and negative parts

Published on 24 Mar 2026 - 23:43

score 5.9k · Answer 5 · 2026-03-22 15:56:37

5.9k

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Estimate the $L^1$-norm of the Fourier transform

Published on 22 Mar 2026 - 15:56

score 85 · Answer 6 · 2026-03-28 13:42:20

85

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For any $f\in L^1(S^1)$ and let $y\in\mathbb{R}$, let $f_y$ be defined as $f_y(x)=f(x+y)$. Prove that $\lim_{y\to 0 } ||f_y-f||=0.$

Published on 28 Mar 2026 - 13:42

score 111 · Answer 7 · 2018-02-13 14:19:33

111

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Showing $\widehat{f \star g}(\xi) = \widehat{f}(\xi) \widehat{g}(\xi)$

Published on 13 Feb 2018 - 14:19

score 508 · Answer 8 · 2026-03-25 07:38:27

508

Views

boundness about Fejer kernel

Published on 25 Mar 2026 - 7:38

score 481 · Answer 9 · 2018-02-16 20:03:46

481

Views

To show that any compact subgroup of $C^*$ is a subset of unit circle.

Published on 16 Feb 2018 - 20:03

score 45 · Answer 10 · 2026-03-24 22:08:46

45

Views

What are the topological groups the points of which are separated by their finite-dimensional representations?

Published on 24 Mar 2026 - 22:08

score 186 · Answer 11 · 2026-03-25 09:38:10

186

Views

Convolution of trigonometric polynomial $P$ with function $G$ such that $\widehat G(m)=m$

Published on 25 Mar 2026 - 9:38

score 216 · Answer 12 · 2026-03-22 09:46:24

216

Views

Suggest some good note on harmonic measure

Published on 22 Mar 2026 - 9:46

score 84 · Answer 13 · 2026-03-25 03:21:13

84

Views

Fourier transform of smoothed measure converges uniformly globally (not just on compact sets)?

Published on 25 Mar 2026 - 3:21

score 484 · Answer 14 · 2018-02-21 14:31:08

484

Views

Using Integration by Parts to Justify the Derivative of a Tempered Distribution

Published on 21 Feb 2018 - 14:31

score 35 · Answer 15 · 2026-03-25 09:39:45

35

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show that $f\in C^{l}(\mathbb{T})$. given $\sum_n |\hat f(n)||n|^{l} <\infty$

Published on 25 Mar 2026 - 9:39

List Question

How can I prove that $\bigcap\limits_{n=0}^{+\infty} \Gamma_{j,n}=\emptyset$?

Inverse Fourier Transform Formula on $L^2.$

Quantifying a function's Fourier transform's $p$-norm?

Riesz kernel convolution bound with positive and negative parts

Estimate the $L^1$-norm of the Fourier transform

For any $f\in L^1(S^1)$ and let $y\in\mathbb{R}$, let $f_y$ be defined as $f_y(x)=f(x+y)$. Prove that $\lim_{y\to 0 } ||f_y-f||=0.$

Showing $\widehat{f \star g}(\xi) = \widehat{f}(\xi) \widehat{g}(\xi)$

boundness about Fejer kernel

To show that any compact subgroup of $C^*$ is a subset of unit circle.

What are the topological groups the points of which are separated by their finite-dimensional representations?

Convolution of trigonometric polynomial $P$ with function $G$ such that $\widehat G(m)=m$

Suggest some good note on harmonic measure

Fourier transform of smoothed measure converges uniformly globally (not just on compact sets)?

Using Integration by Parts to Justify the Derivative of a Tempered Distribution

show that $f\in C^{l}(\mathbb{T})$. given $\sum_n |\hat f(n)||n|^{l} <\infty$

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