List questions from fourier-series

Published on 27 Mar 2026 - 1:43

67

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How Many Negative Eigenvalues of $-\frac{d^{2}}{dx^{2}}$ on $[0,L]$?

Published on 28 Mar 2026 - 6:23

78

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How to orient the integration contour when applying the residue theorem?

Published on 29 Mar 2026 - 6:55

300

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Fourier Series in different forms

Published on 18 Sep 2014 - 2:05

69

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Why does the point spread function not violate the linearity of the Fourier transform?

Published on 18 Sep 2014 - 12:05

781

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Fourier coefficients of a (finite, regular, positive) measure are absolutely summable => the measure has a density

Published on 01 Apr 2026 - 3:45

155

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Uniform convergence of the series $\sum_{n=1}^{\infty} \frac{\cos(2nt)}{4 n^2 - 1} $

Published on 20 Sep 2014 - 8:02

429

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Fourier series: term-by-term Laplace transform.

Published on 30 Mar 2026 - 15:36

4.4k

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Fourier series with half range

Published on 20 Sep 2014 - 23:40

112

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Prove that $\sum_{k=1}^\infty\frac{1}{16k^4 - 1} = \frac{1}{2} - \frac{\pi}{8}\coth(\frac{\pi}{2})$

Published on 21 Sep 2014 - 0:52

231

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Wiener Algebra, absolute convergence of fourier series

Published on 01 Apr 2026 - 3:44

278

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Estimating the modulus of continuity of translation in $L^2$ by a Sobolev norm of the function

Published on 01 Apr 2026 - 3:45

377

Views

Showing that two functions are orthogonal on a rectangle

Published on 25 Mar 2026 - 23:56

864

Views

Convergence of Fourier Series in $L^1(\mathbb{T})$

Published on 22 Sep 2014 - 12:10

5k

Views

Fourier Transform of mix partial derivative

Published on 22 Sep 2014 - 13:21

List Question

A simple Fourier Transformation

How Many Negative Eigenvalues of $-\frac{d^{2}}{dx^{2}}$ on $[0,L]$?

How to orient the integration contour when applying the residue theorem?

Fourier Series in different forms

Why does the point spread function not violate the linearity of the Fourier transform?

Fourier coefficients of a (finite, regular, positive) measure are absolutely summable => the measure has a density

Uniform convergence of the series $\sum_{n=1}^{\infty} \frac{\cos(2nt)}{4 n^2 - 1} $

Fourier series: term-by-term Laplace transform.

Fourier series with half range

Prove that $\sum_{k=1}^\infty\frac{1}{16k^4 - 1} = \frac{1}{2} - \frac{\pi}{8}\coth(\frac{\pi}{2})$

Wiener Algebra, absolute convergence of fourier series

Estimating the modulus of continuity of translation in $L^2$ by a Sobolev norm of the function

Showing that two functions are orthogonal on a rectangle

Convergence of Fourier Series in $L^1(\mathbb{T})$

Fourier Transform of mix partial derivative

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