Question

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

score 103 · Answer 1 · 2026-02-23 10:49:03

103

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

Published on 23 Feb 2026 - 10:49

score 365 · Answer 2 · 2026-02-23 10:47:00

365

Views

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

Published on 23 Feb 2026 - 10:47

score 135 · Answer 3 · 2026-02-23 10:47:00

135

Views

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

Published on 23 Feb 2026 - 10:47

score 193 · Answer 4 · 2026-04-09 09:45:59

193

Views

How to integrate sinc function numerically

Published on 09 Apr 2026 - 9:45

score 498 · Answer 5 · 2026-02-23 10:48:57

498

Views

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

Published on 23 Feb 2026 - 10:48

score 163 · Answer 6 · 2026-02-23 10:47:44

163

Views

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

Published on 23 Feb 2026 - 10:47

score 168 · Answer 7 · 2026-02-23 10:43:42

168

Views

A consequence of Van der Corput Lemma

Published on 23 Feb 2026 - 10:43

score 38 · Answer 8 · 2026-02-23 10:41:50

38

Views

Complex integration of an oscillatory function

Published on 23 Feb 2026 - 10:41

score 54 · Answer 9 · 2026-02-23 10:45:14

54

Views

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

Published on 23 Feb 2026 - 10:45

score 411 · Answer 10 · 2026-02-23 10:45:37

411

Views

Convergence (?) of an improper oscillatory integral

Published on 23 Feb 2026 - 10:45

score 28 · Answer 11 · 2026-02-23 10:50:37

28

Views

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

Published on 23 Feb 2026 - 10:50

score 94 · Answer 12 · 2026-02-23 10:48:58

94

Views

Fourier transform of the Bochner-Riesz multipliers

Published on 23 Feb 2026 - 10:48

score 70 · Answer 13 · 2026-02-23 10:49:50

70

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 23 Feb 2026 - 10:49

score 144 · Answer 14 · 2026-02-23 10:47:21

144

Views

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

Published on 23 Feb 2026 - 10:47

score 227 · Answer 15 · 2026-02-23 10:49:50

227

Views

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

Published on 23 Feb 2026 - 10:49

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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