List questions from fourier-analysis

Published on 19 Mar 2026 - 19:11

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Pointwise Fourier inversion equality of distribution

Published on 25 Mar 2026 - 12:52

740

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Exercise 7 of chapter 3 of stein's book on fourier analysis

Published on 28 Jan 2018 - 19:28

158

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Fourier transform of a convolution - differentiabilty

Published on 25 Mar 2026 - 2:20

226

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Uniform convergence on compact subsets of Fourier series

Published on 25 Mar 2026 - 6:12

202

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Convergence of the Fourier Series

Published on 24 Mar 2026 - 23:56

62

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Is it okay to "re-index" a set $ \{\phi_n\}_{-\infty}^{\infty}$ to $\{\phi_n\}_1^{\infty}$?

Published on 29 Jan 2018 - 13:18

194

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What modes of convergence does the Fourier transform preserve?

Published on 24 Mar 2026 - 23:45

308

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Fourier transform on the special orthogonal group

Published on 24 Mar 2026 - 23:44

236

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Counterexample of Gnedenko in probability theory (about an integral of $f(x) = \frac{1-\cos x}{\pi x^2}$ and a series)

Published on 25 Mar 2026 - 3:04

262

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Different proof of the Plancherel Formula in $L^2(\mathbb R).$

Published on 24 Mar 2026 - 23:45

220

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Mathematical terms for "bandlimited" and "timelimited"?

Published on 25 Mar 2026 - 16:02

163

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Show that $\displaystyle \lim_{\varepsilon\rightarrow0}\int_{{\bf R}^{n}}{\widehat{f}(x)e^{-\pi|\varepsilon x|^{2}}}~dx=f(0)$

Published on 25 Mar 2026 - 1:18

255

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Uniformly convergence of the Fourier Series with coefficients in $\ell^1$

Published on 01 Feb 2018 - 17:06

701

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Bounding Fejer kernel

Published on 29 Mar 2026 - 4:11

List Question

Bochner nonnegativity theorem for Laplace-Beltrami eigenfunctions?

Pointwise Fourier inversion equality of distribution

Exercise 7 of chapter 3 of stein's book on fourier analysis

Fourier transform of a convolution - differentiabilty

Uniform convergence on compact subsets of Fourier series

Convergence of the Fourier Series

Is it okay to "re-index" a set $ \{\phi_n\}_{-\infty}^{\infty}$ to $\{\phi_n\}_1^{\infty}$?

What modes of convergence does the Fourier transform preserve?

Fourier transform on the special orthogonal group

Counterexample of Gnedenko in probability theory (about an integral of $f(x) = \frac{1-\cos x}{\pi x^2}$ and a series)

Different proof of the Plancherel Formula in $L^2(\mathbb R).$

Mathematical terms for "bandlimited" and "timelimited"?

Show that $\displaystyle \lim_{\varepsilon\rightarrow0}\int_{{\bf R}^{n}}{\widehat{f}(x)e^{-\pi|\varepsilon x|^{2}}}~dx=f(0)$

Uniformly convergence of the Fourier Series with coefficients in $\ell^1$

Bounding Fejer kernel

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