Question

Determine the real Fourier series for $f(t) = t^2$ with $t \in [0, 1[$ converging as fast as possible.

score 34 · Answer 1 · 2026-04-13 11:22:11

34

Views

Determine the real Fourier series for $f(t) = t^2$ with $t \in [0, 1[$ converging as fast as possible.

Published on 13 Apr 2026 - 11:22

score 97 · Answer 2 · 2026-04-13 14:46:44

97

Views

Use of Fubini's Theorem in Papa Rudin's Holomorphic Fourier Transforms

Published on 13 Apr 2026 - 14:46

score 43 · Answer 3 · 2026-04-13 21:00:47

43

Views

False proof that uniform convergence of Fourier series implies smoothness

Published on 13 Apr 2026 - 21:00

score 157 · Answer 4 · 2026-04-15 12:04:02

157

Views

Rudin's RCA $5.15$ Theorem.

Published on 15 Apr 2026 - 12:04

score 96 · Answer 5 · 2026-04-15 12:55:13

96

Views

What is the domain and codomain of Fourier inverse transform $\mathcal F^{-1}$?

Published on 15 Apr 2026 - 12:55

score 52 · Answer 6 · 2026-04-16 08:48:00

52

Views

[Fourier Inversion Theorem]: conditions for a function to be "schwartz", or at least square integrable.

Published on 16 Apr 2026 - 8:48

score 35 · Answer 7 · 2026-04-13 23:19:46

35

Views

Under this condition, is $\mathcal Ff$ in $L^1$?

Published on 13 Apr 2026 - 23:19

score 61 · Answer 8 · 2026-04-14 11:27:56

61

Views

Why is considering $\delta(\mu)$ as Fourier transform for $f(t) = 1$ rational?

Published on 14 Apr 2026 - 11:27

score 188 · Answer 9 · 2026-04-12 03:25:56

188

Views

Why is the wiener algebra a subset of continuous functions

Published on 12 Apr 2026 - 3:25

score 72 · Answer 10 · 2026-04-11 20:54:06

72

Views

Confused about the domain of characters

Published on 11 Apr 2026 - 20:54

score 246 · Answer 11 · 2026-04-13 09:39:18

246

Views

Proof of Riemann-Lebesgue lemma. What is the dominated function in this case?

Published on 13 Apr 2026 - 9:39

score 33 · Answer 12 · 2026-04-14 20:41:06

33

Views

Lower bound on a Fourier series with fractional decay

Published on 14 Apr 2026 - 20:41

score 36 · Answer 13 · 2026-04-22 23:40:02

36

Views

Looking for function to dominate $\Phi_\varepsilon = \frac{e^{-\frac{(x/\varepsilon)^2}{2}}}{\varepsilon}$.

Published on 22 Apr 2026 - 23:40

score 45 · Answer 14 · 2026-04-10 18:58:52

45

Views

Developing Fourier series of step-wise functions

Published on 10 Apr 2026 - 18:58

score 189 · Answer 15 · 2026-04-16 14:49:09

189

Views

When is $\int_0^\infty dk \int_0^\infty dq \int_0^R dt \,f(k,q,t,r)\stackrel{?}{=}g(r)$ where both $f$ and $g$ are known functions

Published on 16 Apr 2026 - 14:49

List Question

Determine the real Fourier series for $f(t) = t^2$ with $t \in [0, 1[$ converging as fast as possible.

Use of Fubini's Theorem in Papa Rudin's Holomorphic Fourier Transforms

False proof that uniform convergence of Fourier series implies smoothness

Rudin's RCA $5.15$ Theorem.

What is the domain and codomain of Fourier inverse transform $\mathcal F^{-1}$?

[Fourier Inversion Theorem]: conditions for a function to be "schwartz", or at least square integrable.

Under this condition, is $\mathcal Ff$ in $L^1$?

Why is considering $\delta(\mu)$ as Fourier transform for $f(t) = 1$ rational?

Why is the wiener algebra a subset of continuous functions

Confused about the domain of characters

Proof of Riemann-Lebesgue lemma. What is the dominated function in this case?

Lower bound on a Fourier series with fractional decay

Looking for function to dominate $\Phi_\varepsilon = \frac{e^{-\frac{(x/\varepsilon)^2}{2}}}{\varepsilon}$.

Developing Fourier series of step-wise functions

When is $\int_0^\infty dk \int_0^\infty dq \int_0^R dt \,f(k,q,t,r)\stackrel{?}{=}g(r)$ where both $f$ and $g$ are known functions

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