List questions from fourier-analysis

Published on 12 Apr 2026 - 21:03

100

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Asymptotics of the Fourier tranform of a meromorphic function and a function with a branch cut

Published on 13 Apr 2026 - 23:13

640

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If the fourier integral of a function exists, is it always equal to the fourier cosine integral of that function?

Published on 14 Apr 2026 - 14:27

187

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Is $L^1(G)$ weak $*$ dense in $M(G)$

Published on 16 Apr 2026 - 7:43

67

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$\sum^{\infty}_{n=-\infty}|\hat f(n)|<\infty$

Published on 16 Apr 2026 - 5:27

75

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Prove that the discrete time function $\cos(\frac{\pi}{8}\cdot n^2)$ is periodic.

Published on 15 Apr 2026 - 20:26

426

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$f$, $g$ have compact support implies their convolution does?

Published on 12 Apr 2026 - 5:28

82

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Convergence of a product using Fourier series

Published on 12 Apr 2026 - 9:33

313

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Trigonometric polynomials are dense in $\mathcal C^0_{2\pi}$

Published on 16 Apr 2026 - 10:54

1.1k

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A bound on sup-norm of Fourier series

Published on 12 Apr 2026 - 7:46

345

Views

Integrable function whose Fourier transform is constant

Published on 11 Apr 2026 - 3:56

118

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Question about Fourier transform and its itegrability

Published on 13 Apr 2026 - 0:39

175

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The integral expression for stretch/similarity theorem of Fourier transform

Published on 11 Apr 2026 - 13:43

43

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Uniqueness of a solution and its form

Published on 17 Apr 2026 - 2:08

273

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How to understand the construction of these trigonometric polynomials?

Published on 11 Apr 2026 - 16:57

List Question

Exponential decay of Fourier coefficients correspond to analytic functions

Asymptotics of the Fourier tranform of a meromorphic function and a function with a branch cut

If the fourier integral of a function exists, is it always equal to the fourier cosine integral of that function?

Is $L^1(G)$ weak $*$ dense in $M(G)$

$\sum^{\infty}_{n=-\infty}|\hat f(n)|<\infty$

Prove that the discrete time function $\cos(\frac{\pi}{8}\cdot n^2)$ is periodic.

$f$, $g$ have compact support implies their convolution does?

Convergence of a product using Fourier series

Trigonometric polynomials are dense in $\mathcal C^0_{2\pi}$

A bound on sup-norm of Fourier series

Integrable function whose Fourier transform is constant

Question about Fourier transform and its itegrability

The integral expression for stretch/similarity theorem of Fourier transform

Uniqueness of a solution and its form

How to understand the construction of these trigonometric polynomials?

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