List questions from fourier-analysis

Published on 09 Apr 2026 - 8:06

46

Views

Viewing the Fourier transform on $\mathbb{Z}_n$ as a mapping from functions $G\to\mathbb{C}$ to functions $\operatorname{Irr}(G)\to\mathbb{C}$

Published on 16 Apr 2026 - 5:46

24

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Integrability of a a.e. convergent Fourier sum

Published on 14 Apr 2026 - 1:19

125

Views

What is the Fourier series for $\sqrt{1-x^2}$ from $0$ to $1$?

Published on 15 Apr 2026 - 16:42

94

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Asymptotic decay of two-dimensional Fourier transform

Published on 12 Apr 2026 - 5:30

39

Views

Fourier transform of the Random Phase Screened Potential

Published on 08 Apr 2026 - 18:12

27

Views

Fractal tilings and Fundamental Domains

Published on 15 Apr 2026 - 13:50

80

Views

How can an exponential Fourier Series model a real function f(x) if the series contains imaginary numbers??

Published on 11 May 2026 - 8:39

97

Views

Elliptic Constant Coefficient Partial Differential Operator $L^2$ estimates

Published on 13 Apr 2026 - 2:08

41

Views

Extending Parseval's Equality

Published on 09 Apr 2026 - 8:03

55

Views

Fourier expansion of $f(x)^{-1/2}$ given that of $f(x)$?

Published on 12 Apr 2026 - 10:52

109

Views

Question about notation regarding Schwartz-functions and their properties

Published on 13 Apr 2026 - 3:27

93

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Using average to approximate the integral of a periodic function

Published on 12 Apr 2026 - 8:30

61

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$f \in \mathcal C^1(\Bbb T)$ whose Fourier series does not converge to $f$ in the norm of $\mathcal C^1(\Bbb T)$

Published on 16 Apr 2026 - 14:19

40

Views

Showing an equation with double sum of exponential expression and squared sine expression

Published on 24 Apr 2026 - 11:59

List Question

Fourier transform of Gaussian

Viewing the Fourier transform on $\mathbb{Z}_n$ as a mapping from functions $G\to\mathbb{C}$ to functions $\operatorname{Irr}(G)\to\mathbb{C}$

Integrability of a a.e. convergent Fourier sum

What is the Fourier series for $\sqrt{1-x^2}$ from $0$ to $1$?

Asymptotic decay of two-dimensional Fourier transform

Fourier transform of the Random Phase Screened Potential

Fractal tilings and Fundamental Domains

How can an exponential Fourier Series model a real function f(x) if the series contains imaginary numbers??

Elliptic Constant Coefficient Partial Differential Operator $L^2$ estimates

Extending Parseval's Equality

Fourier expansion of $f(x)^{-1/2}$ given that of $f(x)$?

Question about notation regarding Schwartz-functions and their properties

Using average to approximate the integral of a periodic function

$f \in \mathcal C^1(\Bbb T)$ whose Fourier series does not converge to $f$ in the norm of $\mathcal C^1(\Bbb T)$

Showing an equation with double sum of exponential expression and squared sine expression

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