Question

$O(\lambda^{-1/k})$ estimate for $\int_a^b e^{i\lambda \phi(x)}\, dx$ given $|\phi^{(k)}(x)| \ge 1$ for fixed $k$

score 89 · Answer 1 · 2026-04-17 15:52:53

89

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$O(\lambda^{-1/k})$ estimate for $\int_a^b e^{i\lambda \phi(x)}\, dx$ given $|\phi^{(k)}(x)| \ge 1$ for fixed $k$

Published on 17 Apr 2026 - 15:52

score 37 · Answer 2 · 2026-04-13 11:26:51

37

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A expresion of Dirichlet nucleo

Published on 13 Apr 2026 - 11:26

score 54 · Answer 3 · 2026-04-16 22:22:05

54

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$\int_{-\infty}^\infty e^{i\lambda x^2} x^l e^{-x^2}\, dx \sim \lambda^{-(l+1)/2} \sum_{j=0}^\infty c_j^{(l)} \lambda^{-j}$ for even $l\in \mathbb N$

Published on 16 Apr 2026 - 22:22

score 24 · Answer 4 · 2026-04-13 23:39:20

24

Views

convergence in $C^*(A)$ implies uniform convergence of the fourier transform

Published on 13 Apr 2026 - 23:39

score 71 · Answer 5 · 2026-04-15 05:38:56

71

Views

Understanding $\nu$ given by $\int f\, d\nu = \int_{\Bbb R^2\times\Bbb R} \int_{S^1} f(|x|w,z) \, d\sigma(w)\, d\mu(x,z)$

Published on 15 Apr 2026 - 5:38

score 59 · Answer 6 · 2026-04-12 21:56:51

59

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Nonexistence of jump discontinuity for fractionally differentable functions

Published on 12 Apr 2026 - 21:56

score 89 · Answer 7 · 2026-04-08 18:32:13

89

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How to see that a multiplicative Haar measurable function is "almost" a multiplicative character?

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score 109 · Answer 8 · 2026-04-17 07:37:07

109

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Computation and understanding some wording around the Hardy Littlewood Maximal function

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score 91 · Answer 9 · 2026-04-14 15:31:34

91

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Is there a handy integrable test function with a polynomial decay and a compactly supported Fourier transform?

Published on 14 Apr 2026 - 15:31

score 64 · Answer 10 · 2026-04-13 01:15:47

64

Views

Can I define topology on Schwartz-Bruhat function space without using direct limit？

Published on 13 Apr 2026 - 1:15

score 48 · Answer 11 · 2026-04-12 11:32:43

48

Views

Trace inequality for a family of domains.

Published on 12 Apr 2026 - 11:32

score 90 · Answer 12 · 2026-04-14 02:42:43

90

Views

Computing an integral related to the J-Bessel function

Published on 14 Apr 2026 - 2:42

score 85 · Answer 13 · 2026-04-11 12:54:26

85

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Are there any $L^\infty$ bounds on the eigenfunctions of a first order elliptic dfferential operator on $\mathbb{R}^n$ in terms of eigenvalues?

Published on 11 Apr 2026 - 12:54

score 56 · Answer 14 · 2026-04-13 00:40:00

56

Views

Question about Pontryagin duals in Gelfand, Graev, Pyatetskii-Shapiro

Published on 13 Apr 2026 - 0:40

score 101 · Answer 15 · 2026-04-14 01:44:53

101

Views

Grafakos Classical Fourier Analysis Proposition 7.1.5

Published on 14 Apr 2026 - 1:44

List Question

$O(\lambda^{-1/k})$ estimate for $\int_a^b e^{i\lambda \phi(x)}\, dx$ given $|\phi^{(k)}(x)| \ge 1$ for fixed $k$

A expresion of Dirichlet nucleo

$\int_{-\infty}^\infty e^{i\lambda x^2} x^l e^{-x^2}\, dx \sim \lambda^{-(l+1)/2} \sum_{j=0}^\infty c_j^{(l)} \lambda^{-j}$ for even $l\in \mathbb N$

convergence in $C^*(A)$ implies uniform convergence of the fourier transform

Understanding $\nu$ given by $\int f\, d\nu = \int_{\Bbb R^2\times\Bbb R} \int_{S^1} f(|x|w,z) \, d\sigma(w)\, d\mu(x,z)$

Nonexistence of jump discontinuity for fractionally differentable functions

How to see that a multiplicative Haar measurable function is "almost" a multiplicative character?

Computation and understanding some wording around the Hardy Littlewood Maximal function

Is there a handy integrable test function with a polynomial decay and a compactly supported Fourier transform?

Can I define topology on Schwartz-Bruhat function space without using direct limit？

Trace inequality for a family of domains.

Computing an integral related to the J-Bessel function

Are there any $L^\infty$ bounds on the eigenfunctions of a first order elliptic dfferential operator on $\mathbb{R}^n$ in terms of eigenvalues?

Question about Pontryagin duals in Gelfand, Graev, Pyatetskii-Shapiro

Grafakos Classical Fourier Analysis Proposition 7.1.5

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