Question

Is the following property of a Fourier Transform valid?

score 62 · Answer 1 · 2026-04-10 17:55:57

62

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Is the following property of a Fourier Transform valid?

Published on 10 Apr 2026 - 17:55

score 175 · Answer 2 · 2026-04-12 15:47:11

175

Views

How to prove for a system with rational stable transfer function, the output is square integrable?

Published on 12 Apr 2026 - 15:47

score 1.2k · Answer 3 · 2026-04-11 16:07:20

1.2k

Views

Existence of Certain Locally Integrable Function Defining a Tempered Distribution

Published on 11 Apr 2026 - 16:07

score 523 · Answer 4 · 2026-04-12 23:10:44

523

Views

Approximate identity for periodic integrable functions

Published on 12 Apr 2026 - 23:10

score 659 · Answer 5 · 2026-04-08 18:43:08

659

Views

Is the Fourier transform of a continuous and compactly supported function summable?

Published on 08 Apr 2026 - 18:43

score 93 · Answer 6 · 2026-04-11 09:29:12

93

Views

An⇀̸A in L1[−π;π] ( An is partial fourier sum )

Published on 11 Apr 2026 - 9:29

score 469 · Answer 7 · 2026-04-16 13:09:05

469

Views

Behavior of a Solution to Heat equation Compactly Supported in Time

Published on 16 Apr 2026 - 13:09

score 81 · Answer 8 · 2026-04-14 20:56:26

81

Views

On a property of Fourier coefficients

Published on 14 Apr 2026 - 20:56

score 256 · Answer 9 · 2026-04-16 01:10:47

256

Views

If $\gamma$ is irrational, then $\frac{1}{n}\sum_{k=1}^nf(2\pi k \gamma)\to \int_T f(t)\,dt$

Published on 16 Apr 2026 - 1:10

score 45 · Answer 10 · 2026-04-13 06:07:47

45

Views

How to prove that $L_2[0,\infty)$ space is linearly isomorphic to $\mathcal{H}_2$ the space of analytic in $Re(s)>0$ functions?

Published on 13 Apr 2026 - 6:07

score 381 · Answer 11 · 2026-04-12 22:12:25

381

Views

Absolute value Sinus Cardinalis integral

Published on 12 Apr 2026 - 22:12

score 1.2k · Answer 12 · 2026-04-12 02:26:10

1.2k

Views

The Fourier transform of functions with compact support is differentiable.

Published on 12 Apr 2026 - 2:26

score 736 · Answer 13 · 2026-04-15 02:36:32

736

Views

$|\sum_{k=1}^n \frac{\sin(kx)}{k}| \leq \frac{\pi}{2}+1$

Published on 15 Apr 2026 - 2:36

score 80 · Answer 14 · 2026-04-13 01:08:27

80

Views

Prove that the function $\xi\in R \mapsto {e^{i\cdot \xi\cdot λ}-1\over i\cdot \xi}-λ$ is $C^{\infty}$

Published on 13 Apr 2026 - 1:08

score 95 · Answer 15 · 2026-04-15 08:02:15

95

Views

Proving that a trigonometric sum is in $L^2$

Published on 15 Apr 2026 - 8:02

List Question

Is the following property of a Fourier Transform valid?

How to prove for a system with rational stable transfer function, the output is square integrable?

Existence of Certain Locally Integrable Function Defining a Tempered Distribution

Approximate identity for periodic integrable functions

Is the Fourier transform of a continuous and compactly supported function summable?

An⇀̸A in L1[−π;π] ( An is partial fourier sum )

Behavior of a Solution to Heat equation Compactly Supported in Time

On a property of Fourier coefficients

If $\gamma$ is irrational, then $\frac{1}{n}\sum_{k=1}^nf(2\pi k \gamma)\to \int_T f(t)\,dt$

How to prove that $L_2[0,\infty)$ space is linearly isomorphic to $\mathcal{H}_2$ the space of analytic in $Re(s)>0$ functions?

Absolute value Sinus Cardinalis integral

The Fourier transform of functions with compact support is differentiable.

$|\sum_{k=1}^n \frac{\sin(kx)}{k}| \leq \frac{\pi}{2}+1$

Prove that the function $\xi\in R \mapsto {e^{i\cdot \xi\cdot λ}-1\over i\cdot \xi}-λ$ is $C^{\infty}$

Proving that a trigonometric sum is in $L^2$

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