Question

A difficulty in understanding an example of a remark on pointwise convergence of Fourier series.

score 76 · Answer 1 · 2026-03-22 21:00:54

76

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A difficulty in understanding an example of a remark on pointwise convergence of Fourier series.

Published on 22 Mar 2026 - 21:00

score 87 · Answer 2 · 2026-03-28 12:58:46

87

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Compute fourier series of $f(x)=e^{bx}$ on $(-\pi,\pi)$.

Published on 28 Mar 2026 - 12:58

score 414 · Answer 3 · 2019-02-10 21:47:32

414

Views

Wave Equation - Conservation of Energy

Published on 10 Feb 2019 - 21:47

score 279 · Answer 4 · 2026-03-28 13:03:14

279

Views

Solve Laplace's equation with boundary conditions

Published on 28 Mar 2026 - 13:03

score 32 · Answer 5 · 2026-03-29 04:41:27

32

Views

Does this definition of the Fourier intensity measure make sense?

Published on 29 Mar 2026 - 4:41

score 61 · Answer 6 · 2026-03-25 07:55:53

61

Views

Every countable closed set is of uniqueness

Published on 25 Mar 2026 - 7:55

score 98 · Answer 7 · 2026-03-28 14:44:36

98

Views

Compute $\sum_{n=1}^\infty\frac{(-1)^{n+1}}{4n^2-1}.$

Published on 28 Mar 2026 - 14:44

score 1.6k · Answer 8 · 2026-03-28 14:39:19

1.6k

Views

Use Fourier series of $f(x)=x(\pi-|x|)$ in $(-\pi,\pi)$ to compute the series $\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{(2n-1)^3}.$

Published on 28 Mar 2026 - 14:39

score 1.6k · Answer 9 · 2026-03-28 14:44:06

1.6k

Views

Proving the uniform convergence of the Fourier series of $f(x) = x^2$

Published on 28 Mar 2026 - 14:44

score 9.6k · Answer 10 · 2026-03-28 14:37:12

9.6k

Views

Fourier Series of Triangular waveform

Published on 28 Mar 2026 - 14:37

score 416 · Answer 11 · 2026-03-26 14:22:12

416

Views

Are all the radial, positive homogeneous of degree $a\in(-N,0)$ tempered distributions of $\mathbb{R}^N$ proportional to $x\mapsto |x|^a$?

Published on 26 Mar 2026 - 14:22

score 67 · Answer 12 · 2026-03-30 01:29:46

67

Views

Injectivity of the Fourier transform on manifolds

Published on 30 Mar 2026 - 1:29

score 185 · Answer 13 · 2019-02-14 09:32:57

185

Views

Product of a positive-definite function by a (simply) positive function: under which conditions is it also positive-definite?

Published on 14 Feb 2019 - 9:32

score 904 · Answer 14 · 2026-03-28 14:44:06

904

Views

How can I find the Fourier series of $f(x) = x^2$ which is a $2\pi - periodic$ function on the interval $[0,2\pi)$

Published on 28 Mar 2026 - 14:44

score 469 · Answer 15 · 2026-03-25 17:43:53

469

Views

When does Riemann-Lebesgue lemma hold in general?

Published on 25 Mar 2026 - 17:43

List Question

A difficulty in understanding an example of a remark on pointwise convergence of Fourier series.

Compute fourier series of $f(x)=e^{bx}$ on $(-\pi,\pi)$.

Wave Equation - Conservation of Energy

Solve Laplace's equation with boundary conditions

Does this definition of the Fourier intensity measure make sense?

Every countable closed set is of uniqueness

Compute $\sum_{n=1}^\infty\frac{(-1)^{n+1}}{4n^2-1}.$

Use Fourier series of $f(x)=x(\pi-|x|)$ in $(-\pi,\pi)$ to compute the series $\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{(2n-1)^3}.$

Proving the uniform convergence of the Fourier series of $f(x) = x^2$

Fourier Series of Triangular waveform

Are all the radial, positive homogeneous of degree $a\in(-N,0)$ tempered distributions of $\mathbb{R}^N$ proportional to $x\mapsto |x|^a$?

Injectivity of the Fourier transform on manifolds

Product of a positive-definite function by a (simply) positive function: under which conditions is it also positive-definite?

How can I find the Fourier series of $f(x) = x^2$ which is a $2\pi - periodic$ function on the interval $[0,2\pi)$

When does Riemann-Lebesgue lemma hold in general?

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