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When to use Exponential Fourier series versus Trigonometric Fourier series?

score 3k · Answer 1 · 2026-04-15 08:07:42

3k

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When to use Exponential Fourier series versus Trigonometric Fourier series?

Published on 15 Apr 2026 - 8:07

score 1.2k · Answer 2 · 2026-04-14 10:06:33

1.2k

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Fourier Series: Integral of a Sum or Sum of Integrals?

Published on 14 Apr 2026 - 10:06

score 413 · Answer 3 · 2026-04-10 01:45:44

413

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Fourier series to integral - Joseph Fourier's explanation

Published on 10 Apr 2026 - 1:45

score 236 · Answer 4 · 2026-04-09 03:13:47

236

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Fourier Series Help

Published on 09 Apr 2026 - 3:13

score 379 · Answer 5 · 2026-04-11 21:20:03

379

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divergent Fourier series

Published on 11 Apr 2026 - 21:20

score 1.1k · Answer 6 · 2026-04-16 14:39:54

1.1k

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Cesaro summable implies that $c_{n}/n$ goes to $0$

Published on 16 Apr 2026 - 14:39

score 203 · Answer 7 · 2026-04-11 00:46:23

203

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Theoretical Understanding of Fourier Series

Published on 11 Apr 2026 - 0:46

score 223 · Answer 8 · 2026-04-16 15:30:13

223

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Show $\exists f \in C \ni \|f\|_\infty \le 1$, but it's Fourier series diverges

Published on 16 Apr 2026 - 15:30

score 1.3k · Answer 9 · 2026-04-12 12:09:15

1.3k

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How is the study of fractals related to Fourier/spectral/harmonic analysis?

Published on 12 Apr 2026 - 12:09

score 5.9k · Answer 10 · 2026-04-18 18:08:17

5.9k

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Does a piecewise-continuous function need to be defined at its points of discontinuities?

Published on 18 Apr 2026 - 18:08

score 29.4k · Answer 11 · 2026-04-12 11:57:12

29.4k

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Real-valued 2D Fourier series?

Published on 12 Apr 2026 - 11:57

score 420 · Answer 12 · 2026-04-15 18:28:52

420

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Help me please, A0 fourier series for this Sawtooth wave

Published on 15 Apr 2026 - 18:28

score 318 · Answer 13 · 2026-04-16 11:27:48

318

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Show $\left\lvert\sum_{k=-n}^n \frac{\sin k t }{k}\right\rvert \le \pi + 2$ for all $n$ and $t$, $t \in [0,2\pi]$

Published on 16 Apr 2026 - 11:27

score 216 · Answer 14 · 2026-04-16 04:53:31

216

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Convergence of the Fourier series of $f(t)=(t-\pi)\chi_{\left(0,2\pi\right)}$

Published on 16 Apr 2026 - 4:53

score 147 · Answer 15 · 2026-04-16 08:01:47

147

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Show $\left\lvert \frac{1}{\pi+2} \sum_{0 \le k \le 2n,k\ne n} \frac{i}{k-n} e^{ikt} \right\rvert > c \ln n, c>0$

Published on 16 Apr 2026 - 8:01

List Question

When to use Exponential Fourier series versus Trigonometric Fourier series?

Fourier Series: Integral of a Sum or Sum of Integrals?

Fourier series to integral - Joseph Fourier's explanation

Fourier Series Help

divergent Fourier series

Cesaro summable implies that $c_{n}/n$ goes to $0$

Theoretical Understanding of Fourier Series

Show $\exists f \in C \ni \|f\|_\infty \le 1$, but it's Fourier series diverges

How is the study of fractals related to Fourier/spectral/harmonic analysis?

Does a piecewise-continuous function need to be defined at its points of discontinuities?

Real-valued 2D Fourier series?

Help me please, A0 fourier series for this Sawtooth wave

Show $\left\lvert\sum_{k=-n}^n \frac{\sin k t }{k}\right\rvert \le \pi + 2$ for all $n$ and $t$, $t \in [0,2\pi]$

Convergence of the Fourier series of $f(t)=(t-\pi)\chi_{\left(0,2\pi\right)}$

Show $\left\lvert \frac{1}{\pi+2} \sum_{0 \le k \le 2n,k\ne n} \frac{i}{k-n} e^{ikt} \right\rvert > c \ln n, c>0$

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