Question

Show that there exists a linear functional $T:\mathcal{D}(Q)\rightarrow\mathbb{C}$ which is not continuous.

score 184 · Answer 1 · 2026-03-26 16:05:50

184

Views

Show that there exists a linear functional $T:\mathcal{D}(Q)\rightarrow\mathbb{C}$ which is not continuous.

Published on 26 Mar 2026 - 16:05

score 155 · Answer 2 · 2019-02-16 00:54:22

155

Views

Lemma 1.5 Chapter 3 Fourier Analysis an Introduction

Published on 16 Feb 2019 - 0:54

score 41 · Answer 3 · 2026-03-25 03:18:18

41

Views

Discrete Fourier Interpolation Proof

Published on 25 Mar 2026 - 3:18

score 51 · Answer 4 · 2019-02-17 10:58:13

51

Views

What is the function you get when you double the arguments of sin and cos in the Fourier Series of another function?

Published on 17 Feb 2019 - 10:58

score 99 · Answer 5 · 2026-03-30 01:33:34

99

Views

Asymptotic behaviour of a fourier transform

Published on 30 Mar 2026 - 1:33

score 227 · Answer 6 · 2026-03-30 10:34:55

227

Views

Dyadic decomposition in $\mathbb{R}$.

Published on 30 Mar 2026 - 10:34

score 3.6k · Answer 7 · 2019-02-19 03:51:52

3.6k

Views

Using Stone-Weierstrass Theorem to show that trig polynomials are dense in $L^2([0,2\pi])$

Published on 19 Feb 2019 - 3:51

score 47 · Answer 8 · 2026-03-28 14:37:11

47

Views

Fourier Coefficient for an equation with Exponential and Trigonmetric function

Published on 28 Mar 2026 - 14:37

score 54 · Answer 9 · 2026-03-25 17:51:55

54

Views

Examples of Abelian Topological Groups

Published on 25 Mar 2026 - 17:51

score 221 · Answer 10 · 2026-03-28 15:36:43

221

Views

Using the result $g(\omega)=\frac{1}{\sqrt{2\pi}}\frac{2\alpha}{\alpha^2 + \omega^2}$ evaluate $\int_{-\infty}^{\infty}\frac{1}{1+x^2}e^{-ix}dx$

Published on 28 Mar 2026 - 15:36

score 418 · Answer 11 · 2026-03-26 16:10:08

418

Views

How to calculate $c_a$ where $\left(f\mapsto\int_{\mathbb{R}}\frac{f(t)-f(0)}{|t|^{a}}dt\right)=c_a\mathcal{F}_x(|x|^{-1+a})$

Published on 26 Mar 2026 - 16:10

score 32 · Answer 12 · 2019-02-20 19:31:35

32

Views

A confusing example in Fourier Analysis an Introduction pg 87

Published on 20 Feb 2019 - 19:31

score 135 · Answer 13 · 2026-03-29 20:52:54

135

Views

A question about Fourier transform of measures

Published on 29 Mar 2026 - 20:52

score 42 · Answer 14 · 2026-03-29 05:11:02

42

Views

A Fourier transform calculation

Published on 29 Mar 2026 - 5:11

score 540 · Answer 15 · 2026-03-25 06:06:38

540

Views

Convergence of Riemann spectrum/Fourier transform of prime powers

Published on 25 Mar 2026 - 6:06

List Question

Show that there exists a linear functional $T:\mathcal{D}(Q)\rightarrow\mathbb{C}$ which is not continuous.

Lemma 1.5 Chapter 3 Fourier Analysis an Introduction

Discrete Fourier Interpolation Proof

What is the function you get when you double the arguments of sin and cos in the Fourier Series of another function?

Asymptotic behaviour of a fourier transform

Dyadic decomposition in $\mathbb{R}$.

Using Stone-Weierstrass Theorem to show that trig polynomials are dense in $L^2([0,2\pi])$

Fourier Coefficient for an equation with Exponential and Trigonmetric function

Examples of Abelian Topological Groups

Using the result $g(\omega)=\frac{1}{\sqrt{2\pi}}\frac{2\alpha}{\alpha^2 + \omega^2}$ evaluate $\int_{-\infty}^{\infty}\frac{1}{1+x^2}e^{-ix}dx$

How to calculate $c_a$ where $\left(f\mapsto\int_{\mathbb{R}}\frac{f(t)-f(0)}{|t|^{a}}dt\right)=c_a\mathcal{F}_x(|x|^{-1+a})$

A confusing example in Fourier Analysis an Introduction pg 87

A question about Fourier transform of measures

A Fourier transform calculation

Convergence of Riemann spectrum/Fourier transform of prime powers

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