List questions from fourier-series

Published on 11 Apr 2019 - 18:48

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Dirichlet conditions for the existence of the Fourier transform

Published on 11 Apr 2019 - 18:53

53

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If $f \in L^{1}(\mathbb{T})$ and $\sum_{n \in \mathbb{Z}} |{\hat{f}(n)}| < \infty $ then $f \in C^{0}(\mathbb{T})$

Published on 12 Apr 2019 - 2:32

351

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Series expansion of $\ln(1+\exp(ix))$

Published on 12 Apr 2019 - 7:38

101

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Asymptotics of the Weierstrass function

Published on 12 Apr 2019 - 12:49

60

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Differentiability of the function defined by $\sum_{n\geq 1 } \sin n^2 x / n^{5/2} $

Published on 13 Apr 2019 - 4:30

85

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Asymptotic behavior of $f(x) = \sum_{n\geq 1 } a_n \cos n x $

Published on 14 Apr 2019 - 2:52

56

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How to find factor (coefficient) in given function Fourier series?

Published on 14 Apr 2019 - 22:27

772

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How to calculate the Fourier Coefficient of $\sin^5(x)$ over $[-\pi,\pi]$?

Published on 15 Apr 2019 - 9:31

91

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How to decide on which $\ n$-th term should I start the sum of a Fourier series

Published on 15 Apr 2019 - 18:38

799

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Use an inner product to find the projection onto the span of Fourier approximation

Published on 16 Apr 2019 - 4:33

112

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Asymptotics of $\sum_{n\geq 1 } \frac{\sin n^2 t }{ n^2 } $

Published on 16 Apr 2019 - 9:50

84

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How do I evaluate this integral

Published on 16 Apr 2019 - 11:37

42

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Fourier series of translated square

Published on 16 Apr 2019 - 15:32

46

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Help with Incorrect proof of Plancherel's Theorem.

Published on 16 Apr 2019 - 23:24

List Question

odd extension function and Dirichlet problem

Dirichlet conditions for the existence of the Fourier transform

If $f \in L^{1}(\mathbb{T})$ and $\sum_{n \in \mathbb{Z}} |{\hat{f}(n)}| < \infty $ then $f \in C^{0}(\mathbb{T})$

Series expansion of $\ln(1+\exp(ix))$

Asymptotics of the Weierstrass function

Differentiability of the function defined by $\sum_{n\geq 1 } \sin n^2 x / n^{5/2} $

Asymptotic behavior of $f(x) = \sum_{n\geq 1 } a_n \cos n x $

How to find factor (coefficient) in given function Fourier series?

How to calculate the Fourier Coefficient of $\sin^5(x)$ over $[-\pi,\pi]$?

How to decide on which $\ n$-th term should I start the sum of a Fourier series

Use an inner product to find the projection onto the span of Fourier approximation

Asymptotics of $\sum_{n\geq 1 } \frac{\sin n^2 t }{ n^2 } $

How do I evaluate this integral

Fourier series of translated square

Help with Incorrect proof of Plancherel's Theorem.

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