Question

Prove that cosine Fourier coefficients are absolutely summable.

score 275 · Answer 1 · 2026-03-27 08:41:58

275

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Prove that cosine Fourier coefficients are absolutely summable.

Published on 27 Mar 2026 - 8:41

score 92 · Answer 2 · 2026-03-27 00:15:43

92

Views

Range of the Bergman projection.

Published on 27 Mar 2026 - 0:15

score 274 · Answer 3 · 2026-03-29 19:33:02

274

Views

On the analytical solution of a linear system of coupled partial differential equations with Dirac functions using Fourier series expansion method

Published on 29 Mar 2026 - 19:33

score 322 · Answer 4 · 2026-03-25 17:34:20

322

Views

Fast Fourier Frames (FFF), do they exist, and if so, how to calculate them?

Published on 25 Mar 2026 - 17:34

score 165 · Answer 5 · 2026-03-27 08:39:04

165

Views

Wavenumber $k$ becoming a continuous variable as $\lambda \to \infty$

Published on 27 Mar 2026 - 8:39

score 44 · Answer 6 · 2026-03-27 07:17:14

44

Views

Finding the value of $\sum_{n=1}^\infty \frac{1}{n^2}$ using Fourier transformation of a function f(x)

Published on 27 Mar 2026 - 7:17

score 252 · Answer 7 · 2026-03-27 08:42:54

252

Views

Poincare type inequality for functions with vanishing fourier coefficients

Published on 27 Mar 2026 - 8:42

score 390 · Answer 8 · 2026-03-27 08:46:55

390

Views

Fourier coefficients decay

Published on 27 Mar 2026 - 8:46

score 55 · Answer 9 · 2018-09-16 21:43:26

Find a function $f$ in $S(\mathbb R)$ the schwarz class such that $\|f\|_{2} = 1$, and $\int x^k f(x) =0$ for any $k$

score 65 · Answer 10 · 2018-09-17 04:46:08

65

Views

verify (u*v)^ = uv

Published on 17 Sep 2018 - 4:46

score 248 · Answer 11 · 2026-03-25 01:21:29

248

Views

Expressing a classic integral having no elementary primitive.

Published on 25 Mar 2026 - 1:21

score 69 · Answer 12 · 2026-03-27 07:15:05

69

Views

Does $\int_R \cos(rx) f(x) = 0$ with $f(x)=f(-x)$ imply $f(x) = 0$ almost everywhere?

Published on 27 Mar 2026 - 7:15

score 243 · Answer 13 · 2026-03-25 12:55:13

243

Views

When would the time shift properties of Dirac Delta function become invalid?

Published on 25 Mar 2026 - 12:55

score 177 · Answer 14 · 2026-03-25 19:10:16

177

Views

Are both the absolute value and argument of band-limited signal band-limited?

Published on 25 Mar 2026 - 19:10

score 91 · Answer 15 · 2026-03-29 18:34:31

91

Views

Series Expansion of $\frac{f(x)}{g(x)}$

Published on 29 Mar 2026 - 18:34

List Question

Prove that cosine Fourier coefficients are absolutely summable.

Range of the Bergman projection.

On the analytical solution of a linear system of coupled partial differential equations with Dirac functions using Fourier series expansion method

Fast Fourier Frames (FFF), do they exist, and if so, how to calculate them?

Wavenumber $k$ becoming a continuous variable as $\lambda \to \infty$

Finding the value of $\sum_{n=1}^\infty \frac{1}{n^2}$ using Fourier transformation of a function f(x)

Poincare type inequality for functions with vanishing fourier coefficients

Fourier coefficients decay

Find a function $f$ in $S(\mathbb R)$ the schwarz class such that $\|f\|_{2} = 1$, and $\int x^k f(x) =0$ for any $k$

verify (u*v)^ = uv

Expressing a classic integral having no elementary primitive.

Does $\int_R \cos(rx) f(x) = 0$ with $f(x)=f(-x)$ imply $f(x) = 0$ almost everywhere?

When would the time shift properties of Dirac Delta function become invalid?

Are both the absolute value and argument of band-limited signal band-limited?

Series Expansion of $\frac{f(x)}{g(x)}$

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