Question

Understanding the relation between the dominated convergence theorem and uniform convergence

score 272 · Answer 1 · 2026-03-30 00:04:41

272

Views

Understanding the relation between the dominated convergence theorem and uniform convergence

Published on 30 Mar 2026 - 0:04

score 161 · Answer 2 · 2026-03-29 09:09:27

161

Views

Compactness when mapping into a higher $L^p$ space and then back

Published on 29 Mar 2026 - 9:09

score 323 · Answer 3 · 2026-03-29 22:13:47

323

Views

Show that $\int_{-\infty}^{\infty}f(x)\overline {g(x)}dx = \frac{1}{2\pi}\int_{-\infty}^{\infty} \hat{f}(\mu)\overline{\hat{g}(\mu)}d\mu.$

Published on 29 Mar 2026 - 22:13

score 79 · Answer 4 · 2026-03-29 14:35:28

79

Views

Extending a diffeomorphism of $S^1$ to a diffeomorphism of $D^2$ with fourier series.

Published on 29 Mar 2026 - 14:35

score 43 · Answer 5 · 2026-03-27 10:10:07

43

Views

Is my proof about the behavior of Convolutions as $||x|| \rightarrow \infty$ correct?

Published on 27 Mar 2026 - 10:10

score 84 · Answer 6 · 2026-03-29 22:09:17

84

Views

Show that $\lim\limits_{R \uparrow \infty}\frac{1}{2\pi}\int_{-R}^{R}e^{-i\mu x}\hat{f}_{ab}(\mu)d\mu = f_{ab}(x)$

Published on 29 Mar 2026 - 22:09

score 47 · Answer 7 · 2026-03-26 01:00:09

47

Views

Non-negative trigonometric polynomials to exponential form

Published on 26 Mar 2026 - 1:00

score 90 · Answer 8 · 2026-03-28 22:28:17

90

Views

Were the classic "high school" trigonometric formulae known and derived before Fourier transforms?

Published on 28 Mar 2026 - 22:28

score 58 · Answer 9 · 2026-03-29 14:30:58

58

Views

How to comprehense the relation between convolution and each Fourier coefficient of f?

Published on 29 Mar 2026 - 14:30

score 79 · Answer 10 · 2019-05-25 03:43:45

79

Views

On the liminf and limsup of the fourier coefficient of non-increasing function

Published on 25 May 2019 - 3:43

score 31 · Answer 11 · 2026-03-29 14:28:11

31

Views

function in $\mathcal{L}^2$ space periodically.

Published on 29 Mar 2026 - 14:28

score 626 · Answer 12 · 2026-03-29 14:28:09

626

Views

Fourier Series Representation for piecewise function

Published on 29 Mar 2026 - 14:28

score 60 · Answer 13 · 2019-05-25 07:14:45

60

Views

Fourier cosine series of even periodic extension

Published on 25 May 2019 - 7:14

score 65 · Answer 14 · 2026-03-29 14:31:26

65

Views

Can analytic continuation be applied to real functions? e.g. $f(x) = a\sin x + b\cos x$ in $[0,17]$

Published on 29 Mar 2026 - 14:31

score 7.6k · Answer 15 · 2019-05-25 23:38:34

7.6k

Views

Complex Fourier series of $\sin(x)$, [$0,\pi$)

Published on 25 May 2019 - 23:38

List Question

Understanding the relation between the dominated convergence theorem and uniform convergence

Compactness when mapping into a higher $L^p$ space and then back

Show that $\int_{-\infty}^{\infty}f(x)\overline {g(x)}dx = \frac{1}{2\pi}\int_{-\infty}^{\infty} \hat{f}(\mu)\overline{\hat{g}(\mu)}d\mu.$

Extending a diffeomorphism of $S^1$ to a diffeomorphism of $D^2$ with fourier series.

Is my proof about the behavior of Convolutions as $||x|| \rightarrow \infty$ correct?

Show that $\lim\limits_{R \uparrow \infty}\frac{1}{2\pi}\int_{-R}^{R}e^{-i\mu x}\hat{f}_{ab}(\mu)d\mu = f_{ab}(x)$

Non-negative trigonometric polynomials to exponential form

Were the classic "high school" trigonometric formulae known and derived before Fourier transforms?

How to comprehense the relation between convolution and each Fourier coefficient of f?

On the liminf and limsup of the fourier coefficient of non-increasing function

function in $\mathcal{L}^2$ space periodically.

Fourier Series Representation for piecewise function

Fourier cosine series of even periodic extension

Can analytic continuation be applied to real functions? e.g. $f(x) = a\sin x + b\cos x$ in $[0,17]$

Complex Fourier series of $\sin(x)$, [$0,\pi$)

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