List questions from fourier-series

Published on 03 Feb 2024 - 17:26

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Katsnelson Harmonic Analysis chapter 5 exercise 5

Published on 04 Apr 2026 - 7:20

67

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On Parseval's identity and computing a special sum

Published on 06 Feb 2024 - 11:20

109

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Can a gaussian be expressed as a sum of sines or cosines?

Published on 24 Feb 2026 - 19:00

24

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What is the formula for a0 in the fourier series coefficient and what is the significance of the term before?

Published on 07 Feb 2024 - 6:17

37

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Fourier transform on a regular lattice: The restricted set of wave-vectors

Published on 01 Apr 2026 - 3:42

68

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Expansion of Gaussian wavepacket in terms of sines

Published on 08 Apr 2026 - 21:02

44

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Holder condition on $\sum_{k=0}^\infty a^k \cos(b^k x)$

Published on 08 Feb 2024 - 13:57

12

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Exploring the Connection Between Odd-Indexed Fourier Coefficients and Transformed Signals

Published on 27 Feb 2026 - 5:22

49

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basis for $\mathcal M_{24}$

Published on 30 Mar 2026 - 11:14

72

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Use the result* and Parseval's identity to compute the value of $\sum_{n=1}^{\infty} \frac{1}{n^2}$

Published on 11 Feb 2024 - 20:23

24

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Investigate convergence for both series on the interval $(0,1)$.

Published on 11 Feb 2024 - 23:54

38

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Exception where $L^2$-Holder condition does not hold

Published on 13 Feb 2024 - 8:39

145

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Can $\int_0^\infty \frac{\sin x}{x}dx$ be evaluated using Fourier series?

Published on 17 Feb 2024 - 19:21

24

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Dirichlet Initial-boundary-value problem

Published on 19 Feb 2024 - 21:11

List Question

Fourier series for $f(x) = \cos(3x)$

Katsnelson Harmonic Analysis chapter 5 exercise 5

On Parseval's identity and computing a special sum

Can a gaussian be expressed as a sum of sines or cosines?

What is the formula for a0 in the fourier series coefficient and what is the significance of the term before?

Fourier transform on a regular lattice: The restricted set of wave-vectors

Expansion of Gaussian wavepacket in terms of sines

Holder condition on $\sum_{k=0}^\infty a^k \cos(b^k x)$

Exploring the Connection Between Odd-Indexed Fourier Coefficients and Transformed Signals

basis for $\mathcal M_{24}$

Use the result* and Parseval's identity to compute the value of $\sum_{n=1}^{\infty} \frac{1}{n^2}$

Investigate convergence for both series on the interval $(0,1)$.

Exception where $L^2$-Holder condition does not hold

Can $\int_0^\infty \frac{\sin x}{x}dx$ be evaluated using Fourier series?

Dirichlet Initial-boundary-value problem

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