Question

Decomposition of Induced Representations like Peter-Weyl

score 58 · Answer 1 · 2026-04-12 03:52:50

58

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Decomposition of Induced Representations like Peter-Weyl

Published on 12 Apr 2026 - 3:52

score 251 · Answer 2 · 2026-04-16 21:20:48

251

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Grafakos $5.2.1$: Show that directional Hilbert Transform maps $L^1(\mathbb{R}^n)$ to $L^{1,\infty}(\mathbb{R}^n)$

Published on 16 Apr 2026 - 21:20

score 14 · Answer 3 · 2026-04-11 03:23:44

14

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Help with the norm proof of a nonunital Banach Algebra

Published on 11 Apr 2026 - 3:23

score 36 · Answer 4 · 2026-04-15 15:17:37

36

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Let $f\in C_c^n(\Bbb{R})$ ($n$ times continuously differentiable compactly supported). Show that, $|\hat{f}(\xi)|\le \frac{C}{1+|\xi|^n}$

Published on 15 Apr 2026 - 15:17

score 248 · Answer 5 · 2026-04-13 20:30:09

248

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Holomorphic extensions of harmonic functions in $\mathbb R^n$, $n\geq2$

Published on 13 Apr 2026 - 20:30

score 51 · Answer 6 · 2026-04-16 15:08:40

51

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Prove that $T_\Omega( f )$ is not in $L^1(\mathbb{R}^n)$.

Published on 16 Apr 2026 - 15:08

score 157 · Answer 7 · 2026-04-13 22:12:20

157

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The admissible exponents of Strichartz estimate

Published on 13 Apr 2026 - 22:12

score 28 · Answer 8 · 2026-04-16 10:25:58

28

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Estimate for $a_m$ in the Fourier multiplier $\sum_{m\in \mathbb{Z}^n}a_me^{-2\pi i x\cdot m}$

Published on 16 Apr 2026 - 10:25

score 62 · Answer 9 · 2026-04-11 12:44:13

62

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A step in obtaining Strichartz estimates for the homogeneous Schrodinger equation from the Fourier restriction

Published on 11 Apr 2026 - 12:44

score 96 · Answer 10 · 2026-04-11 23:26:07

96

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Can we use zonal spherical harmonics to define the Gegenbauer polynomials?

Published on 11 Apr 2026 - 23:26

score 57 · Answer 11 · 2026-04-19 17:14:43

57

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Distributional Fourier transform of $x_i/|x|^{2}$ in $\mathbb{R}^3$

Published on 19 Apr 2026 - 17:14

score 207 · Answer 12 · 2026-04-12 15:19:08

207

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Fourier transform of $e^{-|x|^4}$

Published on 12 Apr 2026 - 15:19

score 88 · Answer 13 · 2026-04-16 16:35:42

88

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The $L^\infty$ norm of Hardy-Littlewood function equal the $L^\infty$ norm of the original function

Published on 16 Apr 2026 - 16:35

score 73 · Answer 14 · 2026-04-14 18:47:00

73

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Approximations of BMO functions

Published on 14 Apr 2026 - 18:47

score 92 · Answer 15 · 2026-04-08 20:10:15

92

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Fourier transform of product: proof without invoking Fourier inversion theorem

Published on 08 Apr 2026 - 20:10

List Question

Decomposition of Induced Representations like Peter-Weyl

Grafakos $5.2.1$: Show that directional Hilbert Transform maps $L^1(\mathbb{R}^n)$ to $L^{1,\infty}(\mathbb{R}^n)$

Help with the norm proof of a nonunital Banach Algebra

Let $f\in C_c^n(\Bbb{R})$ ($n$ times continuously differentiable compactly supported). Show that, $|\hat{f}(\xi)|\le \frac{C}{1+|\xi|^n}$

Holomorphic extensions of harmonic functions in $\mathbb R^n$, $n\geq2$

Prove that $T_\Omega( f )$ is not in $L^1(\mathbb{R}^n)$.

The admissible exponents of Strichartz estimate

Estimate for $a_m$ in the Fourier multiplier $\sum_{m\in \mathbb{Z}^n}a_me^{-2\pi i x\cdot m}$

A step in obtaining Strichartz estimates for the homogeneous Schrodinger equation from the Fourier restriction

Can we use zonal spherical harmonics to define the Gegenbauer polynomials?

Distributional Fourier transform of $x_i/|x|^{2}$ in $\mathbb{R}^3$

Fourier transform of $e^{-|x|^4}$

The $L^\infty$ norm of Hardy-Littlewood function equal the $L^\infty$ norm of the original function

Approximations of BMO functions

Fourier transform of product: proof without invoking Fourier inversion theorem

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