List questions from fourier-series

Published on 17 Mar 2026 - 12:49

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Fourier series expansion of $\frac{\pi^4}{96}$ and $\frac{\pi^4}{90}$

Published on 21 Mar 2026 - 5:33

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How is $\int_{-T_0/2}^{+T_0/2} \delta(t) \cos(n\omega_0 t)dt=1$ and $\int_{-T_0/2}^{+T_0/2} \delta(t) \sin(n\omega_0 t)=0$?

Published on 17 Mar 2026 - 7:42

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Fourier series. Find the sum $\sum_{n=1}^\infty \frac{(-1)^{n+1}}{2n+1}$

Published on 19 Mar 2026 - 1:28

104

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How get a good approximation of integrals involving the gamma function, exponentials and the fractional part?

Published on 20 Mar 2026 - 4:24

1.2k

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The convolution theorem for fourier series.:$ \widehat{f*g}(x) =2π\hat{g}(x)\cdot\hat{f}(x) $

Published on 22 Mar 2026 - 6:34

542

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Ergodicity of a skew product

Published on 20 Mar 2026 - 11:09

76

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Fourier Series on $L^1\left(\left[0,1\right)\right)\cap C\left(\left[0,1\right)\right)$

Published on 20 Mar 2026 - 4:07

308

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Parseval's Identity Proof Monotone/Dominated Convergence Theorem

Published on 22 Mar 2026 - 12:19

149

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How can I interchange the sum signs

Published on 20 Mar 2026 - 3:12

173

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Does $(\sum_{i=1}^n a_i^{1.5})^2 - \sum_{i=1}^n a_i \; \sum_{i=1}^n a_i a_{i+1} > 0$ hold for $n \leq 8$?

Published on 24 Mar 2026 - 13:11

1.3k

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Is the Fourier series always the "best" approximation?

Published on 25 Mar 2026 - 4:40

100

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Show to which $A$ and $B$ the Fourier series converges uniformly

Published on 25 Mar 2026 - 6:06

4.8k

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Fourier Series Expansion for Half-Wave Sine Problem

Published on 25 Mar 2026 - 4:38

527

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Fourier Series Odd Function

Published on 24 Mar 2026 - 23:41

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order of zero of modular form from it's expansion at infinity

Fourier series expansion of $\frac{\pi^4}{96}$ and $\frac{\pi^4}{90}$

How is $\int_{-T_0/2}^{+T_0/2} \delta(t) \cos(n\omega_0 t)dt=1$ and $\int_{-T_0/2}^{+T_0/2} \delta(t) \sin(n\omega_0 t)=0$?

Fourier series. Find the sum $\sum_{n=1}^\infty \frac{(-1)^{n+1}}{2n+1}$

How get a good approximation of integrals involving the gamma function, exponentials and the fractional part?

The convolution theorem for fourier series.:$ \widehat{f*g}(x) =2π\hat{g}(x)\cdot\hat{f}(x) $

Ergodicity of a skew product

Fourier Series on $L^1\left(\left[0,1\right)\right)\cap C\left(\left[0,1\right)\right)$

Parseval's Identity Proof Monotone/Dominated Convergence Theorem

How can I interchange the sum signs

Does $(\sum_{i=1}^n a_i^{1.5})^2 - \sum_{i=1}^n a_i \; \sum_{i=1}^n a_i a_{i+1} > 0$ hold for $n \leq 8$?

Is the Fourier series always the "best" approximation?

Show to which $A$ and $B$ the Fourier series converges uniformly

Fourier Series Expansion for Half-Wave Sine Problem

Fourier Series Odd Function

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