List questions from fourier-analysis

Published on 14 Apr 2026 - 23:00

96

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Spectral represenation of a Monte Carlo estimator and variance bound

Published on 14 Apr 2026 - 22:45

50

Views

Distributional Fourier transform of $F(x) = \log(-i(x+ia))$

Published on 14 Apr 2026 - 17:41

76

Views

Proving a property of the Fourier coefficients of a continuous function

Published on 14 Apr 2026 - 13:44

77

Views

FFT Bin Estimation - Quadratic Interpolation Equation Differences

Published on 11 Apr 2026 - 12:50

229

Views

If the Fourier coefficient $\hat{f}(k)$ of $f\in C^1(\mathbb T)$ is zero for all $|k|<N$, then $\|f\|_{L^\infty}\leq \frac CN \|f'\|_{L^\infty}$

Published on 16 Apr 2026 - 4:31

103

Views

Bijection between complex valued functions on the unit circle and on the real line

Published on 11 Apr 2026 - 18:06

159

Views

Fourier Transform of $\frac1{\cosh^2(x)}$.

Published on 10 Apr 2026 - 19:21

27

Views

Fourier Transformations

Published on 09 Apr 2026 - 23:23

61

Views

Discussion on the Conditions for Pointwise/Uniform Convergence of Fourier Serieses.

Published on 13 Apr 2026 - 5:49

78

Views

Generalization of Shannon's Reconstruction Theorem

Published on 15 Apr 2026 - 20:36

115

Views

Is the approximation of the integral of $f$ by $\sum_{i=1}^kw_if(x_i)$ exact assuming $f$ has no high frequency components?

Published on 15 Apr 2026 - 5:24

57

Views

What's the fourier transform convolution of $f(t) = \sin(t) \cdot \exp(-t)$ and $g(t) = \cos(t) \cdot \exp(-t)$?

Published on 16 Apr 2026 - 6:27

42

Views

Is a function with bounded local averages necessarily bounded?

Published on 08 Apr 2026 - 18:39

33

Views

Functions f that are equal to f' in $L^2(0,\pi)$?

Published on 16 Apr 2026 - 2:52

List Question

Laplace transform of right/left derivative?

Spectral represenation of a Monte Carlo estimator and variance bound

Distributional Fourier transform of $F(x) = \log(-i(x+ia))$

Proving a property of the Fourier coefficients of a continuous function

FFT Bin Estimation - Quadratic Interpolation Equation Differences

If the Fourier coefficient $\hat{f}(k)$ of $f\in C^1(\mathbb T)$ is zero for all $|k|<N$, then $\|f\|_{L^\infty}\leq \frac CN \|f'\|_{L^\infty}$

Bijection between complex valued functions on the unit circle and on the real line

Fourier Transform of $\frac1{\cosh^2(x)}$.

Fourier Transformations

Discussion on the Conditions for Pointwise/Uniform Convergence of Fourier Serieses.

Generalization of Shannon's Reconstruction Theorem

Is the approximation of the integral of $f$ by $\sum_{i=1}^kw_if(x_i)$ exact assuming $f$ has no high frequency components?

What's the fourier transform convolution of $f(t) = \sin(t) \cdot \exp(-t)$ and $g(t) = \cos(t) \cdot \exp(-t)$?

Is a function with bounded local averages necessarily bounded?

Functions f that are equal to f' in $L^2(0,\pi)$?

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