Question

Studying the off-diagonal case of this operator $f \mapsto \int_{B(0,1)} f(x-y)dy $

score 64 · Answer 1 · 2019-11-12 17:04:47

64

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Studying the off-diagonal case of this operator $f \mapsto \int_{B(0,1)} f(x-y)dy $

Published on 12 Nov 2019 - 17:04

score 107 · Answer 2 · 2019-11-14 05:07:36

107

Views

Convolution of a Schwartz function with $2\operatorname{sinc}(tx)$

Published on 14 Nov 2019 - 5:07

score 79 · Answer 3 · 2019-11-16 10:52:48

79

Views

Show that $\sum\limits_{n=-\infty}^{\infty}\delta^{(|n|)}(x-n)$ diverges in S'

Published on 16 Nov 2019 - 10:52

score 373 · Answer 4 · 2019-11-22 04:17:49

373

Views

Convolution of an approximate identity with a Schwartz function.

Published on 22 Nov 2019 - 4:17

score 63 · Answer 5 · 2019-11-27 07:33:14

63

Views

(Prove or Disprove) A sequence of integral kernels (from quantum mechanics) approaches to delta function (in the distribution sense)?

Published on 27 Nov 2019 - 7:33

score 333 · Answer 6 · 2019-12-04 04:36:27

333

Views

Question about estimate in proof that $C_c^{\infty}$ is dense in Schwartz space.

Published on 04 Dec 2019 - 4:36

score 84 · Answer 7 · 2019-12-04 13:17:48

84

Views

Operation between Fourier transform and convolution of locally integrable function

Published on 04 Dec 2019 - 13:17

score 45 · Answer 8 · 2019-12-12 02:46:53

45

Views

Reference request on the Schwartz class on integers

Published on 12 Dec 2019 - 2:46

score 206 · Answer 9 · 2019-12-16 16:56:55

206

Views

Justify the idea of the Fourier transform of a tempered distribution

Published on 16 Dec 2019 - 16:56

score 386 · Answer 10 · 2019-12-18 20:37:59

386

Views

Schwartz function exponential decay

Published on 18 Dec 2019 - 20:37

score 35 · Answer 11 · 2019-12-27 17:43:01

35

Views

Proof of an inequality involving $Q\in H^{1}(\mathbb{R}^d).$

Published on 27 Dec 2019 - 17:43

score 107 · Answer 12 · 2019-12-31 17:08:42

107

Views

Schwarz function if $|f(x)|\leq\frac{C}{(1+|x|^2)^N}$ for all $x$?

Published on 31 Dec 2019 - 17:08

score 867 · Answer 13 · 2019-12-31 23:13:05

867

Views

Exercise $2.3.2$ of Grafakos, Classical Fourier Analysis.

Published on 31 Dec 2019 - 23:13

score 910 · Answer 14 · 2020-01-05 15:06:15

910

Views

Weak convergence in the space of tempered distributions and weighted Sobolev spaces

Published on 05 Jan 2020 - 15:06

score 47 · Answer 15 · 2020-02-01 18:17:07

47

Views

Fourier transform of delta distribution satisfies $ \hat\delta_{x-x_0} = \hat\delta_{x_0} $

Published on 01 Feb 2020 - 18:17

List Question

Studying the off-diagonal case of this operator $f \mapsto \int_{B(0,1)} f(x-y)dy $

Convolution of a Schwartz function with $2\operatorname{sinc}(tx)$

Show that $\sum\limits_{n=-\infty}^{\infty}\delta^{(|n|)}(x-n)$ diverges in S'

Convolution of an approximate identity with a Schwartz function.

(Prove or Disprove) A sequence of integral kernels (from quantum mechanics) approaches to delta function (in the distribution sense)?

Question about estimate in proof that $C_c^{\infty}$ is dense in Schwartz space.

Operation between Fourier transform and convolution of locally integrable function

Reference request on the Schwartz class on integers

Justify the idea of the Fourier transform of a tempered distribution

Schwartz function exponential decay

Proof of an inequality involving $Q\in H^{1}(\mathbb{R}^d).$

Schwarz function if $|f(x)|\leq\frac{C}{(1+|x|^2)^N}$ for all $x$?

Exercise $2.3.2$ of Grafakos, Classical Fourier Analysis.

Weak convergence in the space of tempered distributions and weighted Sobolev spaces

Fourier transform of delta distribution satisfies $ \hat\delta_{x-x_0} = \hat\delta_{x_0} $

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