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Accessible proof of Carleson's $L^2$ theorem

score 3.5k · Answer 1 · 2026-04-10 17:51:37

3.5k

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Accessible proof of Carleson's $L^2$ theorem

Published on 10 Apr 2026 - 17:51

score 721 · Answer 2 · 2026-04-10 00:56:19

721

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Fourier series analog of a formula in Fourier transform

Published on 10 Apr 2026 - 0:56

score 385 · Answer 3 · 2026-04-14 04:21:36

385

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A limit related to the Gibbs phenomenon

Published on 14 Apr 2026 - 4:21

score 40.3k · Answer 4 · 2026-04-12 03:34:15

40.3k

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Fourier series for $\sin^2(x)$

Published on 12 Apr 2026 - 3:34

score 16.5k · Answer 5 · 2026-04-10 21:54:05

16.5k

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Fourier cosine transform

Published on 10 Apr 2026 - 21:54

score 13.7k · Answer 6 · 2026-04-11 09:29:31

13.7k

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an example of a continuous function whose Fourier series diverges at a dense set of points

Published on 11 Apr 2026 - 9:29

score 2.4k · Answer 7 · 2026-04-16 07:13:44

2.4k

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How to express the whole part $\lfloor x \rfloor$ as analytical function or Taylor/Fourier series?

Published on 16 Apr 2026 - 7:13

score 1.6k · Answer 8 · 2026-04-16 06:24:37

1.6k

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Isoperimetric inequality implies Wirtinger's inequality

Published on 16 Apr 2026 - 6:24

score 2.3k · Answer 9 · 2026-04-12 09:22:52

2.3k

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Gibbs Phenomenon

Published on 12 Apr 2026 - 9:22

score 397 · Answer 10 · 2026-04-14 12:21:35

397

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For a polygon on complex plane, when are the vertex 'Fourier coefficients' non-zero

Published on 14 Apr 2026 - 12:21

score 298 · Answer 11 · 2026-04-15 04:43:05

298

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The fourier series $\sum_{m\neq n} \frac{1}{n^2 - m^2} \cos \frac{m\pi x}{2a}$

Published on 15 Apr 2026 - 4:43

score 9.1k · Answer 12 · 2026-04-12 13:58:50

9.1k

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Derivation of Fourier Series?

Published on 12 Apr 2026 - 13:58

score 959 · Answer 13 · 2026-04-12 14:02:54

959

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Pointwise convergence of Fourier series of a piecewise continuous (and Lipschitz continuous everywhere) function - a reference request

Published on 12 Apr 2026 - 14:02

score 579 · Answer 14 · 2026-04-13 17:38:31

579

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reference request for proof of Gibbs phenomenon at jump discontinuities

Published on 13 Apr 2026 - 17:38

score 5.1k · Answer 15 · 2026-04-10 17:53:32

5.1k

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Is it possible to link the eigenvalues of a matrix to the Fourier transform of the matrix?

Published on 10 Apr 2026 - 17:53

List Question

Accessible proof of Carleson's $L^2$ theorem

Fourier series analog of a formula in Fourier transform

A limit related to the Gibbs phenomenon

Fourier series for $\sin^2(x)$

Fourier cosine transform

an example of a continuous function whose Fourier series diverges at a dense set of points

How to express the whole part $\lfloor x \rfloor$ as analytical function or Taylor/Fourier series?

Isoperimetric inequality implies Wirtinger's inequality

Gibbs Phenomenon

For a polygon on complex plane, when are the vertex 'Fourier coefficients' non-zero

The fourier series $\sum_{m\neq n} \frac{1}{n^2 - m^2} \cos \frac{m\pi x}{2a}$

Derivation of Fourier Series?

Pointwise convergence of Fourier series of a piecewise continuous (and Lipschitz continuous everywhere) function - a reference request

reference request for proof of Gibbs phenomenon at jump discontinuities

Is it possible to link the eigenvalues of a matrix to the Fourier transform of the matrix?

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