Question

Convolution of Schwartz and $C^\infty$ function with bounded increasing

score 27 · Answer 1 · 2026-03-26 18:30:07

27

Views

Convolution of Schwartz and $C^\infty$ function with bounded increasing

Published on 26 Mar 2026 - 18:30

score 53 · Answer 2 · 2024-02-21 19:15:01

53

Views

Smooth vector bundles have smooth sections that are not constantly zero

Published on 21 Feb 2024 - 19:15

score 129 · Answer 3 · 2024-02-21 21:33:45

129

Views

What smooth convex functions $f \colon (0, \infty) \to [0, \infty)$ satisfy $f(1) = 0$ and $f(x) = x f\left(\frac{1}{x}\right)$?

Published on 21 Feb 2024 - 21:33

score 239 · Answer 4 · 2024-02-25 12:54:39

239

Views

What structure do smooth maps and diffeomorphisms preserve?

Published on 25 Feb 2024 - 12:54

score 1.8k · Answer 5 · 2024-02-28 08:46:12

1.8k

Views

Can a smooth curve have a segment of straight line?

Published on 28 Feb 2024 - 8:46

score 67 · Answer 6 · 2024-03-02 02:07:50

67

Views

Density of $C_c^\infty(\Omega)$ in $L^p(\Omega)$ for a bounded open set $\Omega$ - any detailed proof?

Published on 02 Mar 2024 - 2:07

score 62 · Answer 7 · 2026-03-25 17:39:16

62

Views

Is it really true that $\mathcal{S}(\mathbb{R}^n)$ is identified with smooth functions on $S^n$ vanishing at a fixed point?

Published on 25 Mar 2026 - 17:39

score 72 · Answer 8 · 2024-03-05 18:37:38

72

Views

On the smooth functions and differentiable manifolds

Published on 05 Mar 2024 - 18:37

score 40 · Answer 9 · 2024-03-07 02:58:16

40

Views

Which function space on $\mathbb{R}^n$ is identified with $C^\infty(S^n)$?

Published on 07 Mar 2024 - 2:58

score 41 · Answer 10 · 2024-03-17 20:32:49

41

Views

Parameterization of area between $y=x+\cos x$ and $y=x+\sin x$

Published on 17 Mar 2024 - 20:32

score 23 · Answer 11 · 2024-03-27 07:55:10

23

Views

How to prove smoothness and convexity of the composite Logsumexp function.

Published on 27 Mar 2024 - 7:55

score 33 · Answer 12 · 2024-03-27 20:44:50

33

Views

Smooth function times continuous is Lipschitz?

Published on 27 Mar 2024 - 20:44

score 470 · Answer 13 · 2015-01-30 12:45:57

470

Views

What is the completed projective tensor product of compactly supported smooth functions on two manifolds?

Published on 30 Jan 2015 - 12:45

score 2k · Answer 14 · 2015-03-13 17:27:28

2k

Views

In the definition of critical point, how can $df_p$ be surjective?

Published on 13 Mar 2015 - 17:27

score 856 · Answer 15 · 2015-06-15 21:17:31

856

Views

How to prove that a left-invariant metric on a Lie group is smooth?

Published on 15 Jun 2015 - 21:17

List Question

Convolution of Schwartz and $C^\infty$ function with bounded increasing

Smooth vector bundles have smooth sections that are not constantly zero

What smooth convex functions $f \colon (0, \infty) \to [0, \infty)$ satisfy $f(1) = 0$ and $f(x) = x f\left(\frac{1}{x}\right)$?

What structure do smooth maps and diffeomorphisms preserve?

Can a smooth curve have a segment of straight line?

Density of $C_c^\infty(\Omega)$ in $L^p(\Omega)$ for a bounded open set $\Omega$ - any detailed proof?

Is it really true that $\mathcal{S}(\mathbb{R}^n)$ is identified with smooth functions on $S^n$ vanishing at a fixed point?

On the smooth functions and differentiable manifolds

Which function space on $\mathbb{R}^n$ is identified with $C^\infty(S^n)$?

Parameterization of area between $y=x+\cos x$ and $y=x+\sin x$

How to prove smoothness and convexity of the composite Logsumexp function.

Smooth function times continuous is Lipschitz?

What is the completed projective tensor product of compactly supported smooth functions on two manifolds?

In the definition of critical point, how can $df_p$ be surjective?

How to prove that a left-invariant metric on a Lie group is smooth?

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