Question

Exploring the Connection Between Odd-Indexed Fourier Coefficients and Transformed Signals

score 17 · Answer 1 · 2026-04-29 12:28:00

17

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Exploring the Connection Between Odd-Indexed Fourier Coefficients and Transformed Signals

Published on 29 Apr 2026 - 12:28

score 139 · Answer 2 · 2026-04-14 19:16:34

139

Views

Paley-Wiener theorem conversion proof

Published on 14 Apr 2026 - 19:16

score 41 · Answer 3 · 2026-04-13 16:14:23

41

Views

Relate a continuous inner product to a discrete one by expanding a kernel around a Dirac delta function?

Published on 13 Apr 2026 - 16:14

score 240 · Answer 4 · 2026-04-15 02:47:54

240

Views

$L^1- L^\infty$ estimate for the semi group of wave equations

Published on 15 Apr 2026 - 2:47

score 102 · Answer 5 · 2026-04-16 04:56:35

102

Views

Decay property of the Fourier transform

Published on 16 Apr 2026 - 4:56

score 35 · Answer 6 · 2026-04-13 07:59:50

35

Views

The tail of characteristic function

Published on 13 Apr 2026 - 7:59

score 35 · Answer 7 · 2026-04-10 20:10:36

35

Views

Imaginary components in Discrete Fourier Transform of Gaussian?

Published on 10 Apr 2026 - 20:10

score 41 · Answer 8 · 2026-04-12 10:36:03

41

Views

Exception where $L^2$-Holder condition does not hold

Published on 12 Apr 2026 - 10:36

score 52 · Answer 9 · 2026-04-14 10:38:27

52

Views

Equality holds in Donoho-Stark iff $f$ is the characteristic function of the translate of a subgroup (finite abelian group)

Published on 14 Apr 2026 - 10:38

score 115 · Answer 10 · 2026-04-15 08:32:58

115

Views

Inversion/Injectivity of Symmetric Translation Operator in $L^2(\mathbb{R})$ (via Distribution Theory)

Published on 15 Apr 2026 - 8:32

score 148 · Answer 11 · 2026-04-14 09:35:06

148

Views

Can $\int_0^\infty \frac{\sin x}{x}dx$ be evaluated using Fourier series?

Published on 14 Apr 2026 - 9:35

score 24 · Answer 12 · 2026-04-15 11:13:20

24

Views

Show that $\lim_{K \to \infty} \sum_{k=-K}^{K} \hat{f}(k) e(k \alpha) = \dfrac{f(\alpha^+)+f(\alpha^-)}{2}.$

Published on 15 Apr 2026 - 11:13

score 23 · Answer 13 · 2026-04-12 08:27:54

23

Views

distribution 0 in fourier transform clarification

Published on 12 Apr 2026 - 8:27

score 37 · Answer 14 · 2026-04-15 14:07:39

37

Views

For $f \in H^s$, then $\exists g \in C_c$ such that $f=g$ a.e.

Published on 15 Apr 2026 - 14:07

score 21 · Answer 15 · 2026-04-17 12:20:02

21

Views

Evaluating $|E_K(x)| = s(x) - \sum_{k=1}^K \dfrac{\sin 2 \pi k x}{\pi k}$ on $0<x \le 1/2$

Published on 17 Apr 2026 - 12:20

List Question

Exploring the Connection Between Odd-Indexed Fourier Coefficients and Transformed Signals

Paley-Wiener theorem conversion proof

Relate a continuous inner product to a discrete one by expanding a kernel around a Dirac delta function?

$L^1- L^\infty$ estimate for the semi group of wave equations

Decay property of the Fourier transform

The tail of characteristic function

Imaginary components in Discrete Fourier Transform of Gaussian?

Exception where $L^2$-Holder condition does not hold

Equality holds in Donoho-Stark iff $f$ is the characteristic function of the translate of a subgroup (finite abelian group)

Inversion/Injectivity of Symmetric Translation Operator in $L^2(\mathbb{R})$ (via Distribution Theory)

Can $\int_0^\infty \frac{\sin x}{x}dx$ be evaluated using Fourier series?

Show that $\lim_{K \to \infty} \sum_{k=-K}^{K} \hat{f}(k) e(k \alpha) = \dfrac{f(\alpha^+)+f(\alpha^-)}{2}.$

distribution 0 in fourier transform clarification

For $f \in H^s$, then $\exists g \in C_c$ such that $f=g$ a.e.

Evaluating $|E_K(x)| = s(x) - \sum_{k=1}^K \dfrac{\sin 2 \pi k x}{\pi k}$ on $0<x \le 1/2$

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