List questions from fourier-analysis

Published on 10 May 2026 - 8:38

101

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Show that the map of $L^1(\Bbb R)\cap L^2(\Bbb R)$ into $L^2(\Bbb R)$ defined by $f\mapsto \hat{f}$ is continuous.

Published on 17 Apr 2026 - 10:00

199

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How to show that the theta function is smooth?

Published on 13 May 2026 - 10:48

225

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Inverse Fourier Transform of a given frequency spectrum waveform

Published on 11 May 2026 - 9:04

370

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If a function is locally Lipschitz, does its Fourier series converge uniformly?

Published on 14 Apr 2026 - 9:13

110

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Showing that $\left\{\sqrt{ \frac{2}{\pi} }\cos(2kx)\right\}_{k=1}^{\infty}$ is an incomplete system

Published on 15 Apr 2026 - 11:00

125

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Proving an Inequality in Fourier Transformation

Published on 10 Apr 2026 - 9:35

703

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Strict upper bound of Fourier Transform

Published on 12 Apr 2026 - 7:26

1.3k

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Fourier Transformation of $e^{-|t|}\cos(2t)$

Published on 11 May 2026 - 4:06

70

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Fourier transform of $\cos(\omega)$

Published on 11 May 2026 - 5:22

35

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Fourier series convergence using the boundness

Published on 12 Apr 2026 - 2:06

1.4k

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Fourier Integral Representation of $H(t)-\frac{1}{2}$

Published on 11 Apr 2026 - 5:32

41

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A function on $\mathcal{S}(\mathbb{R}^n)$ written as a combinations of Schwartz functions

Published on 10 May 2026 - 14:55

367

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Question on Fourier transforms and its translation properties

Published on 14 Apr 2026 - 3:55

1k

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Fourier Series of Absolute Value

Published on 11 May 2026 - 2:02

List Question

Heisenberg's inequality

Show that the map of $L^1(\Bbb R)\cap L^2(\Bbb R)$ into $L^2(\Bbb R)$ defined by $f\mapsto \hat{f}$ is continuous.

How to show that the theta function is smooth?

Inverse Fourier Transform of a given frequency spectrum waveform

If a function is locally Lipschitz, does its Fourier series converge uniformly?

Showing that $\left\{\sqrt{ \frac{2}{\pi} }\cos(2kx)\right\}_{k=1}^{\infty}$ is an incomplete system

Proving an Inequality in Fourier Transformation

Strict upper bound of Fourier Transform

Fourier Transformation of $e^{-|t|}\cos(2t)$

Fourier transform of $\cos(\omega)$

Fourier series convergence using the boundness

Fourier Integral Representation of $H(t)-\frac{1}{2}$

A function on $\mathcal{S}(\mathbb{R}^n)$ written as a combinations of Schwartz functions

Question on Fourier transforms and its translation properties

Fourier Series of Absolute Value

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