List questions from fourier-series

Published on 12 Apr 2026 - 22:40

67

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Periodic sum smooth iff it comes from Schwartz function?

Published on 13 Apr 2026 - 17:05

245

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Poisson Summation Formula and Swapping Sum and Integral

Published on 10 Apr 2026 - 12:44

193

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Cosh and Sinh in the Wave equation.

Published on 12 Apr 2026 - 13:53

57

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Prove that $\langle f,x_{n}\rangle\to \sqrt{2\pi}f(0)$ for any $f\in C_{2}(\mathbb{R}/2\pi\mathbb{Z})$. Where am I wrong?

Published on 15 Apr 2026 - 9:32

304

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Are Fourier series a basis for $L^2((-\pi,\pi)^m)$?

Published on 16 Apr 2026 - 0:30

164

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Fourier Expansion vs. Real Spherical Harmonics Expansion

Published on 09 Apr 2026 - 19:18

100

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Create a series expansion with a custom function as basis

Published on 12 Apr 2026 - 11:23

93

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Taylor Series and Fourier Series Together

Published on 25 Apr 2026 - 4:48

81

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Properties of $L^1([0,1]) \to \ell^\infty(\mathbb Z)$

Published on 14 May 2026 - 12:18

20

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Is the complex version of fourier series easier to use when we have piecewise jump discontinuous function?

Published on 11 Apr 2026 - 14:45

69

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Why can't I use Cauchy-Schwarz to show convergence of the Fourier series in $L^1$?

Published on 15 Apr 2026 - 9:05

59

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How to evaluate the Fourier Series of $\frac{\sin(\alpha\sin(\omega t))}{\alpha\sin(\omega t)}\exp(-j\beta\sin(\omega t))$?

Published on 16 Apr 2026 - 11:36

147

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Solution to a Sturm–Liouville problem

Published on 11 Apr 2026 - 7:34

81

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Compute the Fourier series and prove the equality

Published on 13 Apr 2026 - 22:37

List Question

Fourier coefficients of smooth functions behave like Schwartz functions?

Periodic sum smooth iff it comes from Schwartz function?

Poisson Summation Formula and Swapping Sum and Integral

Cosh and Sinh in the Wave equation.

Prove that $\langle f,x_{n}\rangle\to \sqrt{2\pi}f(0)$ for any $f\in C_{2}(\mathbb{R}/2\pi\mathbb{Z})$. Where am I wrong?

Are Fourier series a basis for $L^2((-\pi,\pi)^m)$?

Fourier Expansion vs. Real Spherical Harmonics Expansion

Create a series expansion with a custom function as basis

Taylor Series and Fourier Series Together

Properties of $L^1([0,1]) \to \ell^\infty(\mathbb Z)$

Is the complex version of fourier series easier to use when we have piecewise jump discontinuous function?

Why can't I use Cauchy-Schwarz to show convergence of the Fourier series in $L^1$?

How to evaluate the Fourier Series of $\frac{\sin(\alpha\sin(\omega t))}{\alpha\sin(\omega t)}\exp(-j\beta\sin(\omega t))$?

Solution to a Sturm–Liouville problem

Compute the Fourier series and prove the equality

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