Question

What does it mean by $f$ stays in a bounded set in $C^{k+1}(X)$?

score 102 · Answer 1 · 2020-12-30 10:33:19

102

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What does it mean by $f$ stays in a bounded set in $C^{k+1}(X)$?

Published on 30 Dec 2020 - 10:33

score 364 · Answer 2 · 2021-01-14 13:17:40

364

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Prove that the integral of a rapidly oscillating function is $0$

Published on 14 Jan 2021 - 13:17

score 134 · Answer 3 · 2021-01-19 16:17:42

134

Views

How to do a fast numerical computation of an oscillatory integral including $\operatorname{HeunC}$ function using Mathematica?

Published on 19 Jan 2021 - 16:17

score 190 · Answer 4 · 2021-01-20 03:50:04

190

Views

How to integrate sinc function numerically

Published on 20 Jan 2021 - 3:50

score 497 · Answer 5 · 2021-01-25 19:36:53

497

Views

Using the Riemann-Lebesgue lemma to find the integral of a very oscillating function

Published on 25 Jan 2021 - 19:36

score 162 · Answer 6 · 2021-03-05 15:36:12

162

Views

What is the heuristic 'integration by parts' in computing $\int_{\mathbb R} x e^{ix\xi} d\xi = 0$?

Published on 05 Mar 2021 - 15:36

score 167 · Answer 7 · 2021-03-10 13:43:16

167

Views

A consequence of Van der Corput Lemma

Published on 10 Mar 2021 - 13:43

score 37 · Answer 8 · 2021-04-12 12:41:30

37

Views

Complex integration of an oscillatory function

Published on 12 Apr 2021 - 12:41

score 53 · Answer 9 · 2021-05-25 16:31:07

53

Views

Find $\lim_{m \to \infty} \int_{-\infty}^{\infty} \sin(e^t) e^{-(t - m)^2} dt$

Published on 25 May 2021 - 16:31

score 410 · Answer 10 · 2021-05-27 20:47:48

410

Views

Convergence (?) of an improper oscillatory integral

Published on 27 May 2021 - 20:47

score 27 · Answer 11 · 2021-07-23 20:46:04

27

Views

Finding 2nd Order Linear ODE for known signal of summed oscillators starting at different times?

Published on 23 Jul 2021 - 20:46

score 93 · Answer 12 · 2021-10-17 02:37:59

93

Views

Fourier transform of the Bochner-Riesz multipliers

Published on 17 Oct 2021 - 2:37

score 69 · Answer 13 · 2021-10-19 11:30:03

69

Views

Is the estimate $\int_0^\infty \frac{e^{ikx}}{x^\alpha} f(x)dx = o\left(\frac{1}{k^{1-\alpha}}\right)$ true?

Published on 19 Oct 2021 - 11:30

score 143 · Answer 14 · 2021-11-16 02:00:48

143

Views

Is subset of $L^1$ functions bounded by $1 / x^2$ compact?

Published on 16 Nov 2021 - 2:00

score 226 · Answer 15 · 2021-11-22 04:09:41

226

Views

The direction of the steepest descent path at the saddle point (Picard-Lefschetz theory)

Published on 22 Nov 2021 - 4:09

List Question

What does it mean by $f$ stays in a bounded set in $C^{k+1}(X)$?

Prove that the integral of a rapidly oscillating function is $0$

How to do a fast numerical computation of an oscillatory integral including $\operatorname{HeunC}$ function using Mathematica?

How to integrate sinc function numerically

Using the Riemann-Lebesgue lemma to find the integral of a very oscillating function

What is the heuristic 'integration by parts' in computing $\int_{\mathbb R} x e^{ix\xi} d\xi = 0$?

A consequence of Van der Corput Lemma

Complex integration of an oscillatory function

Find $\lim_{m \to \infty} \int_{-\infty}^{\infty} \sin(e^t) e^{-(t - m)^2} dt$

Convergence (?) of an improper oscillatory integral

Finding 2nd Order Linear ODE for known signal of summed oscillators starting at different times?

Fourier transform of the Bochner-Riesz multipliers

Is the estimate $\int_0^\infty \frac{e^{ikx}}{x^\alpha} f(x)dx = o\left(\frac{1}{k^{1-\alpha}}\right)$ true?

Is subset of $L^1$ functions bounded by $1 / x^2$ compact?

The direction of the steepest descent path at the saddle point (Picard-Lefschetz theory)

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