Question

Fourier series: Does pointwise convergence and absolute summability imply uniform convergence?

score 136 · Answer 1 · 2026-04-17 18:01:44

136

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Fourier series: Does pointwise convergence and absolute summability imply uniform convergence?

Published on 17 Apr 2026 - 18:01

score 45 · Answer 2 · 2026-04-11 06:39:12

45

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Fourier coefficients of $\cos (\frac{x}{2})$: Need help, cannot find my mistake

Published on 11 Apr 2026 - 6:39

score 45 · Answer 3 · 2026-04-17 04:06:42

45

Views

If $S_n^f(x_0)-S_n^g(x_0)\to 0$, then $f(x_0)=g(x_0)$

Published on 17 Apr 2026 - 4:06

score 111 · Answer 4 · 2026-04-09 17:39:37

111

Views

How to apply the Dirichlet conditions to Fourier series

Published on 09 Apr 2026 - 17:39

score 217 · Answer 5 · 2026-04-17 17:57:58

217

Views

Textbook reference for a first course in Harmonic Analysis/Fourier Series

Published on 17 Apr 2026 - 17:57

score 41 · Answer 6 · 2026-04-29 22:40:55

41

Views

how do i prove that $\check{\widehat{\left(f\right)}}=f$

Published on 29 Apr 2026 - 22:40

score 223 · Answer 7 · 2026-04-17 18:06:37

223

Views

Why does $f$ continuous and its Fourier coefficient converges absolutely implies the Fourier series converges uniformly?

Published on 17 Apr 2026 - 18:06

score 34 · Answer 8 · 2026-04-13 02:52:37

34

Views

Mistake in the solution to the heat equation?

Published on 13 Apr 2026 - 2:52

score 61 · Answer 9 · 2026-04-18 07:50:52

61

Views

The integral of an exponential sum is bounded above by $2\pi\sqrt{k+1}$

Published on 18 Apr 2026 - 7:50

score 127 · Answer 10 · 2026-04-17 07:53:38

127

Views

Find function $f$ having Fourier series $f(x)=\sum_{m=1}^\infty\frac{\cos(mx)}{1+m^2}$

Published on 17 Apr 2026 - 7:53

score 65 · Answer 11 · 2026-04-12 21:26:42

65

Views

Can this proof for a Fourier series be made more rigorous?

Published on 12 Apr 2026 - 21:26

score 68 · Answer 12 · 2026-04-11 20:24:42

68

Views

Injectivity of Fourier series in a horizontal strip

Published on 11 Apr 2026 - 20:24

score 99 · Answer 13 · 2026-04-16 10:39:11

99

Views

If $f$ is periodic and has derivative that is sectionally continuous then $\lim_{|n|\rightarrow\infty} n\hat{f}(n)=0$

Published on 16 Apr 2026 - 10:39

score 290 · Answer 14 · 2026-04-29 23:38:42

290

Views

Are these two definitions of "good kernels" in fourier series equivalent?

Published on 29 Apr 2026 - 23:38

score 201 · Answer 15 · 2026-04-16 03:25:45

201

Views

A peculiar limit appearing for $\sum\limits_{j = 1}^{N-1} \frac{\exp \left( i\pi k j / N \right) }{\sin \left( \pi j / N \right)}$

Published on 16 Apr 2026 - 3:25

List Question

Fourier series: Does pointwise convergence and absolute summability imply uniform convergence?

Fourier coefficients of $\cos (\frac{x}{2})$: Need help, cannot find my mistake

If $S_n^f(x_0)-S_n^g(x_0)\to 0$, then $f(x_0)=g(x_0)$

How to apply the Dirichlet conditions to Fourier series

Textbook reference for a first course in Harmonic Analysis/Fourier Series

how do i prove that $\check{\widehat{\left(f\right)}}=f$

Why does $f$ continuous and its Fourier coefficient converges absolutely implies the Fourier series converges uniformly?

Mistake in the solution to the heat equation?

The integral of an exponential sum is bounded above by $2\pi\sqrt{k+1}$

Find function $f$ having Fourier series $f(x)=\sum_{m=1}^\infty\frac{\cos(mx)}{1+m^2}$

Can this proof for a Fourier series be made more rigorous?

Injectivity of Fourier series in a horizontal strip

If $f$ is periodic and has derivative that is sectionally continuous then $\lim_{|n|\rightarrow\infty} n\hat{f}(n)=0$

Are these two definitions of "good kernels" in fourier series equivalent?

A peculiar limit appearing for $\sum\limits_{j = 1}^{N-1} \frac{\exp \left( i\pi k j / N \right) }{\sin \left( \pi j / N \right)}$

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