Question

Folland real analysis 9.11

score 1.4k · Answer 1 · 2026-04-04 12:33:19

1.4k

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Folland real analysis 9.11

Published on 04 Apr 2026 - 12:33

score 261 · Answer 2 · 2016-02-20 12:57:51

261

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Concluding that if $f\in L^{1}_{\text{loc}}(\mathbb{R}^{n})$ and $\mathcal{M}(f)\in L^{1}(\mathbb{R}^{n})$ then $f=0$ a.e.

Published on 20 Feb 2016 - 12:57

score 242 · Answer 3 · 2026-02-23 06:58:24

242

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Decay property of oscillatory integrals in $\mathbb{R}^n$

Published on 23 Feb 2026 - 6:58

score 579 · Answer 4 · 2026-04-04 12:34:48

579

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Example of a linear functional, but not a distribution

Published on 04 Apr 2026 - 12:34

score 363 · Answer 5 · 2026-03-28 18:14:17

363

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Bound a complex exponential sum when we can only estimate its argument

Published on 28 Mar 2026 - 18:14

score 213 · Answer 6 · 2016-02-25 00:20:56

213

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Coadjoint representation $Ad^*$ of the Heisenberg group

Published on 25 Feb 2016 - 0:20

score 134 · Answer 7 · 2016-02-25 05:12:11

134

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Proof of Howe-Moore Property for $SL(n,\mathbb R)$

Published on 25 Feb 2016 - 5:12

score 441 · Answer 8 · 2016-02-25 08:23:50

441

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Direct sum decomposition of $L^2(\mathbb{R})$ using Fourier Transform

Published on 25 Feb 2016 - 8:23

score 1.1k · Answer 9 · 2026-03-29 03:02:33

1.1k

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Prove that the Pontryagin dual of $\mathbb{R}$ is $\mathbb{R}$.

Published on 29 Mar 2026 - 3:02

score 340 · Answer 10 · 2016-02-25 13:40:25

340

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Are Sobolev spaces $W^{k,1}(\mathbb R^d)$ and $H^{k,1}(\mathbb R^d)$ the same?

Published on 25 Feb 2016 - 13:40

score 274 · Answer 11 · 2016-02-26 06:24:24

274

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How do you prove that a function $f \in L^1( \bf R)$ and its Fourier transform cannot simultaneously be very small at infinity?

Published on 26 Feb 2016 - 6:24

score 148 · Answer 12 · 2016-02-26 08:42:31

148

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Trying to understand the proof of Beurling's theorem for Fourier transform pairs from Lars Hormander's Paper

Published on 26 Feb 2016 - 8:42

score 655 · Answer 13 · 2026-03-28 18:17:08

655

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How can we prove that the discrete Fourier transforms preserves the inner product up to a constant factor?

Published on 28 Mar 2026 - 18:17

score 111 · Answer 14 · 2016-02-26 16:16:04

111

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where can I find the proof of this theorem of wavelet frames?

Published on 26 Feb 2016 - 16:16

score 71 · Answer 15 · 2016-02-27 09:58:06

71

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Does this function grows faster than any exponential function?

Published on 27 Feb 2016 - 9:58

List Question

Folland real analysis 9.11

Concluding that if $f\in L^{1}_{\text{loc}}(\mathbb{R}^{n})$ and $\mathcal{M}(f)\in L^{1}(\mathbb{R}^{n})$ then $f=0$ a.e.

Decay property of oscillatory integrals in $\mathbb{R}^n$

Example of a linear functional, but not a distribution

Bound a complex exponential sum when we can only estimate its argument

Coadjoint representation $Ad^*$ of the Heisenberg group

Proof of Howe-Moore Property for $SL(n,\mathbb R)$

Direct sum decomposition of $L^2(\mathbb{R})$ using Fourier Transform

Prove that the Pontryagin dual of $\mathbb{R}$ is $\mathbb{R}$.

Are Sobolev spaces $W^{k,1}(\mathbb R^d)$ and $H^{k,1}(\mathbb R^d)$ the same?

How do you prove that a function $f \in L^1( \bf R)$ and its Fourier transform cannot simultaneously be very small at infinity?

Trying to understand the proof of Beurling's theorem for Fourier transform pairs from Lars Hormander's Paper

How can we prove that the discrete Fourier transforms preserves the inner product up to a constant factor?

where can I find the proof of this theorem of wavelet frames?

Does this function grows faster than any exponential function?

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