List questions from fourier-series

50

Views

When do modular functions admit a Fourier expansion of the form $f(z) = \sum_{n\in \Bbb Z} a_n e^{2\pi inz}$?

Published on 14 Apr 2026 - 0:49

233

Views

Is this a correct method for finding Fourier series coefficients?

Published on 12 Apr 2026 - 14:31

23

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Using Fourier Series to high dimensional Image Sets

Published on 18 Apr 2026 - 9:57

57

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Fourier series for periodized parabola

Published on 11 Apr 2026 - 5:32

29

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Trigonometric Fourier series of absolute cosine

Published on 15 Apr 2026 - 13:55

147

Views

Continuity of Square Wave Fourier Series

Published on 13 Apr 2026 - 2:43

64

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Bounded variation and Fourier series

Published on 11 Apr 2026 - 22:37

129

Views

Calculating $\sum_{k = 1}^{\infty} k^{-8}$ using Parseval´s identity

Published on 15 Apr 2026 - 14:53

74

Views

Fourier Approximation of $e^{i\sqrt{x}}$

Published on 10 Apr 2026 - 10:50

29

Views

Estimate for $a_m$ in the Fourier multiplier $\sum_{m\in \mathbb{Z}^n}a_me^{-2\pi i x\cdot m}$

Published on 23 Apr 2026 - 2:19

26

Views

Coefficients of series equation

Published on 11 Apr 2026 - 1:43

34

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I am confused on how to approach the Fourier series of a piecewise function. Here's an example of such a function:

Published on 05 May 2026 - 4:03

99

Views

Relationship between Taylor, Laurent and Fourier series

Published on 11 Apr 2026 - 1:19

71

Views

Fourier series and integral

Published on 09 Apr 2026 - 20:49

66

Views

A question on Fourier coefficients

Published on 13 Apr 2026 - 4:52

List Question

When do modular functions admit a Fourier expansion of the form $f(z) = \sum_{n\in \Bbb Z} a_n e^{2\pi inz}$?

Is this a correct method for finding Fourier series coefficients?

Using Fourier Series to high dimensional Image Sets

Fourier series for periodized parabola

Trigonometric Fourier series of absolute cosine

Continuity of Square Wave Fourier Series

Bounded variation and Fourier series

Calculating $\sum_{k = 1}^{\infty} k^{-8}$ using Parseval´s identity

Fourier Approximation of $e^{i\sqrt{x}}$

Estimate for $a_m$ in the Fourier multiplier $\sum_{m\in \mathbb{Z}^n}a_me^{-2\pi i x\cdot m}$

Coefficients of series equation

I am confused on how to approach the Fourier series of a piecewise function. Here's an example of such a function:

Relationship between Taylor, Laurent and Fourier series

Fourier series and integral

A question on Fourier coefficients

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