Question

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

score 63 · Answer 1 · 2026-05-05 06:18:30

63

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

Published on 05 May 2026 - 6:18

score 1.1k · Answer 2 · 2026-05-10 14:30:41

1.1k

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Inverse Fourier Transform Formula on $L^2.$

Published on 10 May 2026 - 14:30

score 624 · Answer 3 · 2026-04-14 04:04:28

624

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

Published on 14 Apr 2026 - 4:04

score 97 · Answer 4 · 2026-05-10 14:51:53

97

Views

Riesz kernel convolution bound with positive and negative parts

Published on 10 May 2026 - 14:51

score 5.9k · Answer 5 · 2026-04-14 21:16:30

5.9k

Views

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

Published on 14 Apr 2026 - 21:16

score 87 · Answer 6 · 2026-04-16 20:05:41

87

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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 16 Apr 2026 - 20:05

score 114 · Answer 7 · 2026-04-15 09:13:32

114

Views

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

Published on 15 Apr 2026 - 9:13

score 512 · Answer 8 · 2026-05-10 14:40:45

512

Views

boundness about Fejer kernel

Published on 10 May 2026 - 14:40

score 484 · Answer 9 · 2026-04-13 09:36:35

484

Views

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

Published on 13 Apr 2026 - 9:36

score 48 · Answer 10 · 2026-05-10 12:34:26

48

Views

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

Published on 10 May 2026 - 12:34

score 189 · Answer 11 · 2026-05-10 15:45:59

189

Views

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

Published on 10 May 2026 - 15:45

score 219 · Answer 12 · 2026-04-15 23:17:29

219

Views

Suggest some good note on harmonic measure

Published on 15 Apr 2026 - 23:17

score 87 · Answer 13 · 2026-05-10 23:30:47

87

Views

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

Published on 10 May 2026 - 23:30

score 487 · Answer 14 · 2026-04-13 12:10:27

487

Views

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

Published on 13 Apr 2026 - 12:10

score 38 · Answer 15 · 2026-05-10 15:46:43

38

Views

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

Published on 10 May 2026 - 15:46

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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