List questions from fourier-series

Published on 25 Mar 2026 - 11:16

78

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Calculate the integral $\int_{\frac{5\pi}{2}}^{\frac{9\pi}{2}} \cos^4{\theta}\;d\theta.$

Published on 23 Aug 2018 - 15:56

214

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Finding the coefficients of Fourier Series

Published on 25 Mar 2026 - 9:32

678

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Is there a positive-semidefinite convolution kernel, that is continuous at $0$ but discontinuous elsewhere?

Published on 25 Mar 2026 - 1:03

267

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Does there exist a non-trivial Fourier series which converges pointwise everywhere to the zero function?

Published on 24 Aug 2018 - 15:09

187

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Using Fourier transform on a finite interval to prove a formula

Published on 27 Aug 2018 - 9:12

223

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Cosine series with non-negative coefficients, that is continuous at $0$ but not everywhere

Published on 27 Aug 2018 - 9:48

2k

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Fourier Series of $\sin^2(x)$

Published on 25 Mar 2026 - 23:08

2.7k

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Heat equation $u_t=u_{xx},u_x(t,0)=0,u(0,x)=e^{-x^2}$

Published on 24 Mar 2026 - 23:56

386

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Motivation on Using Fourier Series to Solve Heat Equation

Published on 25 Mar 2026 - 11:13

227

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How do I find a Fourier coefficient without using integration?

Published on 29 Aug 2018 - 12:47

20

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Fourier series how to show $a_n$

Published on 29 Aug 2018 - 14:01

4.6k

Views

"Damped" wave equation with Fourier method

Published on 25 Mar 2026 - 7:34

171

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Inverse Fourier transform of $(\arctan(ak))^{n}$

Published on 03 Sep 2018 - 22:52

33

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Find local maxima and minima of impulse train

Published on 05 Sep 2018 - 11:33

List Question

Expanding the function $f(x) = 1, 0 < x < 1$ in a series of the eigenfunctions?

Calculate the integral $\int_{\frac{5\pi}{2}}^{\frac{9\pi}{2}} \cos^4{\theta}\;d\theta.$

Finding the coefficients of Fourier Series

Is there a positive-semidefinite convolution kernel, that is continuous at $0$ but discontinuous elsewhere?

Does there exist a non-trivial Fourier series which converges pointwise everywhere to the zero function?

Using Fourier transform on a finite interval to prove a formula

Cosine series with non-negative coefficients, that is continuous at $0$ but not everywhere

Fourier Series of $\sin^2(x)$

Heat equation $u_t=u_{xx},u_x(t,0)=0,u(0,x)=e^{-x^2}$

Motivation on Using Fourier Series to Solve Heat Equation

How do I find a Fourier coefficient without using integration?

Fourier series how to show $a_n$

"Damped" wave equation with Fourier method

Inverse Fourier transform of $(\arctan(ak))^{n}$

Find local maxima and minima of impulse train

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