Question

Relating Fourier series coefficients through transformation

score 130 · Answer 1 · 2026-04-08 18:06:19

130

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Relating Fourier series coefficients through transformation

Published on 08 Apr 2026 - 18:06

score 118 · Answer 2 · 2026-04-15 07:27:50

118

Views

Show that the product of any two trigonometric polynomials is again a trigonometric polynomial.

Published on 15 Apr 2026 - 7:27

score 149 · Answer 3 · 2026-04-30 08:02:34

149

Views

Gaps in the proof of the fact that Lipschitz condition implies uniform convergence of the Fourier series.

Published on 30 Apr 2026 - 8:02

score 58 · Answer 4 · 2026-04-11 17:20:44

58

Views

the trigonometric Fourier coefficients and Fourier theorem

Published on 11 Apr 2026 - 17:20

score 547 · Answer 5 · 2026-04-08 22:59:56

547

Views

Fourier transform of $e^{-at}u(t-b)$

Published on 08 Apr 2026 - 22:59

score 373 · Answer 6 · 2026-04-10 11:18:52

373

Views

Solving Laplace Equation using Separation of Variables inside an annulus

Published on 10 Apr 2026 - 11:18

score 50 · Answer 7 · 2026-04-15 22:09:24

50

Views

Show that $\widehat{f*g}(n) = \hat{f}(n)\hat{g}(n)$.

Published on 15 Apr 2026 - 22:09

score 20 · Answer 8 · 2026-04-16 02:17:54

20

Views

How to mix 2 Fourier tables.

Published on 16 Apr 2026 - 2:17

score 330 · Answer 9 · 2026-04-16 08:56:50

330

Views

Real Signal Properties and $\cos(t)$ Fourier coefficients

Published on 16 Apr 2026 - 8:56

score 229 · Answer 10 · 2026-04-11 11:13:23

229

Views

Prove any smooth function with compact support can be uniformly approximated by elements in the space generated by $f_a(x)=e^{iax}e^{-x^2}$.

Published on 11 Apr 2026 - 11:13

score 167 · Answer 11 · 2026-04-23 00:31:08

167

Views

Fourier coefficients of $f^2$ for $f\in L_4([0,1])$

Published on 23 Apr 2026 - 0:31

score 297 · Answer 12 · 2026-04-13 07:52:35

297

Views

Partial differential equation with initial condition for time derivative

Published on 13 Apr 2026 - 7:52

score 46 · Answer 13 · 2026-04-10 19:52:07

46

Views

How to show the conditions of the following definitions for any given function (Fourier series):

Published on 10 Apr 2026 - 19:52

score 58 · Answer 14 · 2026-04-10 22:05:54

58

Views

Fourier transform of $\frac{1}{f}$

Published on 10 Apr 2026 - 22:05

score 70 · Answer 15 · 2026-04-13 03:36:43

70

Views

Limit of double integral is integral of boundary.

Published on 13 Apr 2026 - 3:36

List Question

Relating Fourier series coefficients through transformation

Show that the product of any two trigonometric polynomials is again a trigonometric polynomial.

Gaps in the proof of the fact that Lipschitz condition implies uniform convergence of the Fourier series.

the trigonometric Fourier coefficients and Fourier theorem

Fourier transform of $e^{-at}u(t-b)$

Solving Laplace Equation using Separation of Variables inside an annulus

Show that $\widehat{f*g}(n) = \hat{f}(n)\hat{g}(n)$.

How to mix 2 Fourier tables.

Real Signal Properties and $\cos(t)$ Fourier coefficients

Prove any smooth function with compact support can be uniformly approximated by elements in the space generated by $f_a(x)=e^{iax}e^{-x^2}$.

Fourier coefficients of $f^2$ for $f\in L_4([0,1])$

Partial differential equation with initial condition for time derivative

How to show the conditions of the following definitions for any given function (Fourier series):

Fourier transform of $\frac{1}{f}$

Limit of double integral is integral of boundary.

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