Question

Taylor expansion of Fourier series coefficient

score 75 · Answer 1 · 2026-04-12 21:08:35

75

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Taylor expansion of Fourier series coefficient

Published on 12 Apr 2026 - 21:08

score 84 · Answer 2 · 2026-04-08 14:50:19

84

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Fourier transform of exponentially decaying sinusoid

Published on 08 Apr 2026 - 14:50

score 45 · Answer 3 · 2026-04-16 01:39:44

45

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Why does it hold $\operatorname E\left[\left|\int g\right|^2\right]=\int\operatorname E[|g|^2]$ here?

Published on 16 Apr 2026 - 1:39

score 67 · Answer 4 · 2026-04-15 03:31:50

67

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Let $f$ be a harmonic function on $\Bbb{D}$ defined as poisson integral of a complex measure $\mu$ on $\Bbb{T}$.

Published on 15 Apr 2026 - 3:31

score 87 · Answer 5 · 2026-04-11 21:54:27

87

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Getting a sum via Green's function

Published on 11 Apr 2026 - 21:54

score 37 · Answer 6 · 2026-04-15 16:09:18

37

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Simplifying the scalar product of $f(t)=\sum_{n=0}^7(c_n\cos\left(nt\right))$ with itself ($\langle f, f\rangle$)

Published on 15 Apr 2026 - 16:09

score 55 · Answer 7 · 2026-04-12 12:31:10

55

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Infinite sum of positive semidefinite tempered distributions

Published on 12 Apr 2026 - 12:31

score 26 · Answer 8 · 2026-04-11 07:29:49

26

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Is there a Helmholtz theory regarding families of differintegrational operators of different scales?

Published on 11 Apr 2026 - 7:29

score 86 · Answer 9 · 2026-04-17 01:10:04

86

Views

Bounding $\widehat{G_{m+1}}\ast\widehat{H_m}(0)$ when $\frac{1}{2}\leq\widehat{H_m}(0)\leq\frac{3}{2}$ and $H_m,G_{m+1}$ are smooth over $\mathbb{T}$

Published on 17 Apr 2026 - 1:10

score 966 · Answer 10 · 2026-04-09 22:03:43

966

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Deriving the Fourier Transform of Unit Step Function...

Published on 09 Apr 2026 - 22:03

score 115 · Answer 11 · 2026-04-15 16:27:21

115

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Find the complex Fourier transform of $f(x) = \dfrac{1}{1 + x^2 + x^4}$.

Published on 15 Apr 2026 - 16:27

score 51 · Answer 12 · 2026-04-16 02:56:00

51

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What is the origin of $ \hat{F} = \int_{-\infty}^{\infty} f(x) e^{-i2 \pi \omega x} \: dx$ ??

Published on 16 Apr 2026 - 2:56

score 72 · Answer 13 · 2026-04-10 19:20:46

72

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Fourier Series Expansion and its derivatives

Published on 10 Apr 2026 - 19:20

score 84 · Answer 14 · 2026-04-12 12:19:39

84

Views

Possible typo in a text using Fourier transform properties

Published on 12 Apr 2026 - 12:19

score 28 · Answer 15 · 2026-04-13 17:45:40

28

Views

Set of feature points and Fourier series

Published on 13 Apr 2026 - 17:45

List Question

Taylor expansion of Fourier series coefficient

Fourier transform of exponentially decaying sinusoid

Why does it hold $\operatorname E\left[\left|\int g\right|^2\right]=\int\operatorname E[|g|^2]$ here?

Let $f$ be a harmonic function on $\Bbb{D}$ defined as poisson integral of a complex measure $\mu$ on $\Bbb{T}$.

Getting a sum via Green's function

Simplifying the scalar product of $f(t)=\sum_{n=0}^7(c_n\cos\left(nt\right))$ with itself ($\langle f, f\rangle$)

Infinite sum of positive semidefinite tempered distributions

Is there a Helmholtz theory regarding families of differintegrational operators of different scales?

Bounding $\widehat{G_{m+1}}\ast\widehat{H_m}(0)$ when $\frac{1}{2}\leq\widehat{H_m}(0)\leq\frac{3}{2}$ and $H_m,G_{m+1}$ are smooth over $\mathbb{T}$

Deriving the Fourier Transform of Unit Step Function...

Find the complex Fourier transform of $f(x) = \dfrac{1}{1 + x^2 + x^4}$.

What is the origin of $ \hat{F} = \int_{-\infty}^{\infty} f(x) e^{-i2 \pi \omega x} \: dx$ ??

Fourier Series Expansion and its derivatives

Possible typo in a text using Fourier transform properties

Set of feature points and Fourier series

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