List questions from fourier-analysis

Published on 24 Mar 2026 - 23:46

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Hardy-Littlewood maximal function not integrable in B(0,1)

Published on 28 Mar 2026 - 23:10

823

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Calculate the convolution: $\frac{\sin(4t)}{\pi t}*( \cos(t)+\cos(6t) )$ using Fourier transform

Published on 21 Mar 2026 - 23:52

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Fourier Transform on positive real line

Published on 24 Mar 2026 - 22:08

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How to Fourier Transform $\frac{\sin(x)^2}{x^2}$ without Contour Integration.

Published on 24 Mar 2026 - 22:01

194

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Convolution of rapidly decaying function with itself

Published on 20 Mar 2026 - 7:19

561

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Minimum condition for convergence of Fourier series

Published on 22 Mar 2026 - 10:59

60

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Solving the following integral for Fourier Series.

Published on 25 Jan 2018 - 14:05

1.3k

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Is the Fourier series always the "best" approximation?

Published on 25 Mar 2026 - 4:40

308

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On the Fourier Transform of the $x[n]=1$ fo all $n$

Published on 26 Jan 2018 - 2:52

719

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Why do generalized Fourier series seem to converge to functions so far outside of the Hilbert space?

Published on 25 Mar 2026 - 3:03

100

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Show to which $A$ and $B$ the Fourier series converges uniformly

Published on 25 Mar 2026 - 6:06

528

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Fourier Series Odd Function

Published on 26 Mar 2026 - 23:42

322

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Are the canonical representatives of the Hilbert space $L^2$ basis-dependent?

Published on 24 Mar 2026 - 20:32

389

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How to calculate the fourier series coefficients of $(f(x))^m?$ knowing the Fourier series of $f$?

Published on 25 Mar 2026 - 6:13

List Question

Fourier transform of $f(x)\cos(ax)$

Hardy-Littlewood maximal function not integrable in B(0,1)

Calculate the convolution: $\frac{\sin(4t)}{\pi t}*( \cos(t)+\cos(6t) )$ using Fourier transform

Fourier Transform on positive real line

How to Fourier Transform $\frac{\sin(x)^2}{x^2}$ without Contour Integration.

Convolution of rapidly decaying function with itself

Minimum condition for convergence of Fourier series

Solving the following integral for Fourier Series.

Is the Fourier series always the "best" approximation?

On the Fourier Transform of the $x[n]=1$ fo all $n$

Why do generalized Fourier series seem to converge to functions so far outside of the Hilbert space?

Show to which $A$ and $B$ the Fourier series converges uniformly

Fourier Series Odd Function

Are the canonical representatives of the Hilbert space $L^2$ basis-dependent?

How to calculate the fourier series coefficients of $(f(x))^m?$ knowing the Fourier series of $f$?

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