Question

Interesting polynomial: $R_{k+1}(x)=x(2^{-2k-1}-1)\zeta(2k+2)+\int_0^x\int_0^t R_{k}(u)dudt$

score 61 · Answer 1 · 2026-03-26 12:38:32

61

Views

Interesting polynomial: $R_{k+1}(x)=x(2^{-2k-1}-1)\zeta(2k+2)+\int_0^x\int_0^t R_{k}(u)dudt$

Published on 26 Mar 2026 - 12:38

score 323 · Answer 2 · 2026-03-28 16:14:05

323

Views

Uniform convergence of integrated Fourier series

Published on 28 Mar 2026 - 16:14

score 1.3k · Answer 3 · 2026-03-28 16:14:14

1.3k

Views

$\sum_\limits{n\ge 2}\frac{1}{\log n}\sin nx$ is not the Fourier series of a Riemann integrable function.

Published on 28 Mar 2026 - 16:14

score 85 · Answer 4 · 2026-03-29 05:10:54

85

Views

Question about Fouriers Inversion Theorem.

Published on 29 Mar 2026 - 5:10

score 124 · Answer 5 · 2026-03-30 18:54:42

124

Views

Gateaux Derivative of Fourier Transform/Characteristic Function

Published on 30 Mar 2026 - 18:54

score 28 · Answer 6 · 2026-03-29 09:11:54

28

Views

Square integrability of $ \exp \{-\int t(1-\hat{f}(s/(At)^{\beta})) \} dt$

Published on 29 Mar 2026 - 9:11

score 26 · Answer 7 · 2019-03-07 21:32:59

26

Views

Matrix Representions

Published on 07 Mar 2019 - 21:32

score 115 · Answer 8 · 2026-03-28 20:14:53

115

Views

Use symmetry and odd/even function considerations to find the Fourier series of $f(x)=\cos\left(\frac{x}{2}\right)$ on $[-\pi,\pi]$

Published on 28 Mar 2026 - 20:14

score 82 · Answer 9 · 2026-03-28 18:15:53

82

Views

What are Fourier Coefficients with respect to a circle action

Published on 28 Mar 2026 - 18:15

score 380 · Answer 10 · 2026-03-26 17:37:17

380

Views

Rudin's Construction of Inductive Limit Topology: unnecessarily abstruse?

Published on 26 Mar 2026 - 17:37

score 45 · Answer 11 · 2019-03-08 09:54:56

45

Views

Understanding a proof : Fourier transform in distribution sense.

Published on 08 Mar 2019 - 9:54

score 335 · Answer 12 · 2026-03-28 20:07:10

335

Views

Estimate for the Fourier coefficients

Published on 28 Mar 2026 - 20:07

score 147 · Answer 13 · 2026-03-26 17:36:00

147

Views

Show that a sequence is not Cauchy in $C^\infty_c(\mathbb{R})$

Published on 26 Mar 2026 - 17:36

score 2.2k · Answer 14 · 2026-03-28 18:13:20

2.2k

Views

Fourier Series Exponential Representation

Published on 28 Mar 2026 - 18:13

score 910 · Answer 15 · 2026-03-28 18:14:08

910

Views

Does any $L_1(-\pi, \pi)$ function whose Fourier coefficients are 0 equal 0 a.e.?

Published on 28 Mar 2026 - 18:14

List Question

Interesting polynomial: $R_{k+1}(x)=x(2^{-2k-1}-1)\zeta(2k+2)+\int_0^x\int_0^t R_{k}(u)dudt$

Uniform convergence of integrated Fourier series

$\sum_\limits{n\ge 2}\frac{1}{\log n}\sin nx$ is not the Fourier series of a Riemann integrable function.

Question about Fouriers Inversion Theorem.

Gateaux Derivative of Fourier Transform/Characteristic Function

Square integrability of $ \exp \{-\int t(1-\hat{f}(s/(At)^{\beta})) \} dt$

Matrix Representions

Use symmetry and odd/even function considerations to find the Fourier series of $f(x)=\cos\left(\frac{x}{2}\right)$ on $[-\pi,\pi]$

What are Fourier Coefficients with respect to a circle action

Rudin's Construction of Inductive Limit Topology: unnecessarily abstruse?

Understanding a proof : Fourier transform in distribution sense.

Estimate for the Fourier coefficients

Show that a sequence is not Cauchy in $C^\infty_c(\mathbb{R})$

Fourier Series Exponential Representation

Does any $L_1(-\pi, \pi)$ function whose Fourier coefficients are 0 equal 0 a.e.?

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