Question

Fourier series converges absolutely almost everywhere to smooth function. Maybe also everywhere?

score 61 · Answer 1 · 2026-03-29 03:10:51

61

Views

Fourier series converges absolutely almost everywhere to smooth function. Maybe also everywhere?

Published on 29 Mar 2026 - 3:10

score 217 · Answer 2 · 2021-11-17 15:36:07

217

Views

Function sequence converging almost everywhere to smooth function implies convergence everywhere?

Published on 17 Nov 2021 - 15:36

score 258 · Answer 3 · 2021-11-18 00:27:06

258

Views

Simple construction of bump functions by smoothing/damping standard functions?

Published on 18 Nov 2021 - 0:27

score 98 · Answer 4 · 2021-11-18 09:04:36

98

Views

Proving bounded gradient for composite function

Published on 18 Nov 2021 - 9:04

score 22 · Answer 5 · 2021-11-19 01:37:21

22

Views

Factorizing smooth maps in $\mathbb R^n$

Published on 19 Nov 2021 - 1:37

score 39 · Answer 6 · 2021-11-20 10:00:19

39

Views

Isolated points do not affect the smoothness of a map

Published on 20 Nov 2021 - 10:00

score 132 · Answer 7 · 2026-03-27 21:20:42

132

Views

Fourier coefficients of smooth functions behave like Schwartz functions?

Published on 27 Mar 2026 - 21:20

score 52 · Answer 8 · 2021-11-26 13:01:16

52

Views

Extension of Smooth function to $\mathbb{R}^4 \cup \{\infty\}$

Published on 26 Nov 2021 - 13:01

score 27 · Answer 9 · 2026-03-26 03:18:47

27

Views

Understanding the Single-scale equidistribution theorem for abelian polynomial sequences using example

Published on 26 Mar 2026 - 3:18

score 387 · Answer 10 · 2021-12-02 13:08:09

387

Views

Milnor fundamental theorem of algebra : proof that $f: S^2 \rightarrow S^2$ is smooth

Published on 02 Dec 2021 - 13:08

score 50 · Answer 11 · 2026-02-23 04:45:44

50

Views

Could non-smooth time-limited functions been Analytical?

Published on 23 Feb 2026 - 4:45

score 376 · Answer 12 · 2021-12-08 16:39:59

376

Views

Degree of the reflection map: $r_i: S^{n} \rightarrow S^{n}$

Published on 08 Dec 2021 - 16:39

score 85 · Answer 13 · 2021-12-13 07:12:47

85

Views

Show this function defined on a smooth manifold is (not) smooth

Published on 13 Dec 2021 - 7:12

score 248 · Answer 14 · 2021-12-17 10:31:56

248

Views

Upper bound: Given $L$-smooth convex $f$; $( y- x)^T \left( \nabla f(z)-\nabla f(x)\right)\leq(L/2) ( \| x-z\|^2+\| x-y\|^2+\| z-y\|^2)$?

Published on 17 Dec 2021 - 10:31

score 18 · Answer 15 · 2021-12-18 07:29:10

18

Views

A smooth $Q \in \mathbb R^N \to \mathbb R$ close to, but strictly below min

Published on 18 Dec 2021 - 7:29

List Question

Fourier series converges absolutely almost everywhere to smooth function. Maybe also everywhere?

Function sequence converging almost everywhere to smooth function implies convergence everywhere?

Simple construction of bump functions by smoothing/damping standard functions?

Proving bounded gradient for composite function

Factorizing smooth maps in $\mathbb R^n$

Isolated points do not affect the smoothness of a map

Fourier coefficients of smooth functions behave like Schwartz functions?

Extension of Smooth function to $\mathbb{R}^4 \cup \{\infty\}$

Understanding the Single-scale equidistribution theorem for abelian polynomial sequences using example

Milnor fundamental theorem of algebra : proof that $f: S^2 \rightarrow S^2$ is smooth

Could non-smooth time-limited functions been Analytical?

Degree of the reflection map: $r_i: S^{n} \rightarrow S^{n}$

Show this function defined on a smooth manifold is (not) smooth

Upper bound: Given $L$-smooth convex $f$; $( y- x)^T \left( \nabla f(z)-\nabla f(x)\right)\leq(L/2) ( \| x-z\|^2+\| x-y\|^2+\| z-y\|^2)$?

A smooth $Q \in \mathbb R^N \to \mathbb R$ close to, but strictly below min

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