List questions from fourier-analysis

Published on 10 Apr 2026 - 20:54

392

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Origin of the Fourier Transform (1878)

Published on 14 Apr 2026 - 0:10

175

Views

Proof of Bohr's inequality for Fourier transform

Published on 13 Apr 2026 - 20:04

99

Views

Using Fourier Series to model a vibrating string

Published on 12 Apr 2026 - 9:49

39

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Volume of the projection of a parallelotope onto an hyperplane

Published on 14 Apr 2026 - 5:18

764

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Show that finite rank operator is compact.

Published on 14 Apr 2026 - 15:04

439

Views

Complex output of Fourier transform from real-valued function

Published on 10 Apr 2026 - 18:42

670

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Dirichlet conditions and the fundamental period

Published on 14 Apr 2026 - 11:38

42

Views

There exists a Schwartz function which satisfies $\sum_{k=-\infty}^{\infty} \varphi(2^{-k}x)=1, x\ne 0$.

Published on 01 Apr 2026 - 23:51

229

Views

Compactly support function with compactly supported Hilbert transform.

Published on 11 Apr 2026 - 9:51

195

Views

Can any trigonometric polynomial be written in euler's form?

Published on 12 Apr 2026 - 13:33

43

Views

Basic differentiation and Fourier transform

Published on 14 Apr 2026 - 13:37

248

Views

Surjectivity of the Fourier transform on torus

Published on 11 Apr 2026 - 8:54

151

Views

If $f$ is Riemann-integrable, $\int_{-\pi}^{\pi}|\sigma_Nf(x)-f(x)|dx \rightarrow 0$ as $N\rightarrow\infty$

Published on 09 Apr 2026 - 8:09

93

Views

Calderon- Zygmund in torus

Published on 13 Apr 2026 - 13:26

List Question

Convergence of Dirichlet kernel

Origin of the Fourier Transform (1878)

Proof of Bohr's inequality for Fourier transform

Using Fourier Series to model a vibrating string

Volume of the projection of a parallelotope onto an hyperplane

Show that finite rank operator is compact.

Complex output of Fourier transform from real-valued function

Dirichlet conditions and the fundamental period

There exists a Schwartz function which satisfies $\sum_{k=-\infty}^{\infty} \varphi(2^{-k}x)=1, x\ne 0$.

Compactly support function with compactly supported Hilbert transform.

Can any trigonometric polynomial be written in euler's form?

Basic differentiation and Fourier transform

Surjectivity of the Fourier transform on torus

If $f$ is Riemann-integrable, $\int_{-\pi}^{\pi}|\sigma_Nf(x)-f(x)|dx \rightarrow 0$ as $N\rightarrow\infty$

Calderon- Zygmund in torus

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