Question

$\lim\limits_{\delta_j\to0}\int\limits_{\delta_j\le x\le 1}K(x)$ exists $\iff \lim\limits_{\delta_j\to0}\int\limits_{\delta_j\le x}K(x)\phi(x)$

score 35 · Answer 1 · 2016-12-04 12:52:18

$\lim\limits_{\delta_j\to0}\int\limits_{\delta_j\le x\le 1}K(x)$ exists $\iff \lim\limits_{\delta_j\to0}\int\limits_{\delta_j\le x}K(x)\phi(x)$

score 243 · Answer 2 · 2016-12-06 16:17:26

243

Views

How to do integration by parts to $\int_{\mathbb{R}^n} x^{\gamma}e^{it\cdot x}t^{\beta}f(t)\ dt$?

Published on 06 Dec 2016 - 16:17

score 52 · Answer 3 · 2016-12-10 19:48:36

52

Views

Proving $|x|^a$ and $ |x|^a ln|x| \in S'(\mathbb{R}^n)$ for $a \in (-n, \infty)$

Published on 10 Dec 2016 - 19:48

score 1.4k · Answer 4 · 2016-12-14 16:45:42

1.4k

Views

Fourier inversion proof in Schwartz space, $L^1$ and $ L^2$

Published on 14 Dec 2016 - 16:45

score 88 · Answer 5 · 2026-03-26 06:23:13

88

Views

On the asymptotic behaviour of $\sum_{k=1}^N\mu(k)\sum_{n=-k}^k f(n)$, where $f$ is a Schwartz function and $\mu(n)$ the Möbius function

Published on 26 Mar 2026 - 6:23

score 471 · Answer 6 · 2017-01-01 20:54:34

471

Views

Fourier Transform of Various Tempered Distributions

Published on 01 Jan 2017 - 20:54

score 88 · Answer 7 · 2017-01-07 00:19:17

88

Views

How to prove that this product of functions is bounded?

Published on 07 Jan 2017 - 0:19

score 992 · Answer 8 · 2017-01-09 18:40:22

992

Views

Why test space is a subset of Schwartz space?

Published on 09 Jan 2017 - 18:40

score 60 · Answer 9 · 2017-01-09 20:24:47

60

Views

Why this sequence of functions goes to zero?

Published on 09 Jan 2017 - 20:24

score 141 · Answer 10 · 2017-01-29 19:47:50

141

Views

Proving expression involving Schwartz function tends to zero

Published on 29 Jan 2017 - 19:47

score 144 · Answer 11 · 2026-03-25 21:46:22

144

Views

smooth approximation of functions with fixed support

Published on 25 Mar 2026 - 21:46

score 73 · Answer 12 · 2026-03-26 01:34:34

73

Views

Splitting of Schwartz space of $\mathbb{R}^3$ upon Hilbert space isomorphism

Published on 26 Mar 2026 - 1:34

score 2.4k · Answer 13 · 2017-02-08 00:04:55

2.4k

Views

Convolution between a Schwartz Function and a Tempered Distribution

Published on 08 Feb 2017 - 0:04

score 1.2k · Answer 14 · 2017-02-09 21:12:09

1.2k

Views

Continuity of a linear operator in Schwartz Space

Published on 09 Feb 2017 - 21:12

score 72 · Answer 15 · 2017-02-17 11:51:58

72

Views

Embedding of Schwartz space into $C^\infty(\mathbb{R}^n)$?

Published on 17 Feb 2017 - 11:51

List Question

$\lim\limits_{\delta_j\to0}\int\limits_{\delta_j\le x\le 1}K(x)$ exists $\iff \lim\limits_{\delta_j\to0}\int\limits_{\delta_j\le x}K(x)\phi(x)$

How to do integration by parts to $\int_{\mathbb{R}^n} x^{\gamma}e^{it\cdot x}t^{\beta}f(t)\ dt$?

Proving $|x|^a$ and $ |x|^a ln|x| \in S'(\mathbb{R}^n)$ for $a \in (-n, \infty)$

Fourier inversion proof in Schwartz space, $L^1$ and $ L^2$

On the asymptotic behaviour of $\sum_{k=1}^N\mu(k)\sum_{n=-k}^k f(n)$, where $f$ is a Schwartz function and $\mu(n)$ the Möbius function

Fourier Transform of Various Tempered Distributions

How to prove that this product of functions is bounded?

Why test space is a subset of Schwartz space?

Why this sequence of functions goes to zero?

Proving expression involving Schwartz function tends to zero

smooth approximation of functions with fixed support

Splitting of Schwartz space of $\mathbb{R}^3$ upon Hilbert space isomorphism

Convolution between a Schwartz Function and a Tempered Distribution

Continuity of a linear operator in Schwartz Space

Embedding of Schwartz space into $C^\infty(\mathbb{R}^n)$?

Trending Questions

Popular # Hahtags

Popular Questions