Reputation
749
Top tag
Next privilege 1,000 Rep.
Create new tags
Badges
4 15
Newest
 Enlightened
Impact
~25k people reached

Jan
18
comment What does it mean for $f \in C^2(\mathbb{R}^2,\mathbb{R}^2)$?
Can you give me a reference for the definition?
Jan
18
asked What does it mean for $f \in C^2(\mathbb{R}^2,\mathbb{R}^2)$?
Oct
11
awarded  Enlightened
Oct
10
awarded  Nice Answer
Jul
11
awarded  Popular Question
May
24
awarded  Self-Learner
Feb
26
awarded  Yearling
Jul
2
awarded  Curious
Jun
10
comment Approximation of $C^\alpha(T^2)$ in $L^1$ by a $C^k$ function
Yes. Here I want a $C^k$, $k<\infty$ approximation, also I want the approximation in $L^1$. Given these milder restrictions (as opposed to $C^\infty$ and approximation in $L^\infty$) I wonder what is the best bound one can get for $\|f_\epsilon\|_{C^k}$.
Jun
9
comment Approximation of $C^\alpha(T^2)$ in $L^1$ by a $C^k$ function
Could you show me the calculation?
Jun
5
asked Approximation of $C^\alpha(T^2)$ in $L^1$ by a $C^k$ function
Jul
7
accepted The boundedness of $x^k e^{-|x|}$
Jul
4
comment The boundedness of $x^k e^{-|x|}$
Thanks @Ethan .
Jul
4
asked The boundedness of $x^k e^{-|x|}$
Jul
3
asked approximate Fourier transform
May
23
awarded  Yearling
May
9
awarded  Caucus
Apr
16
comment Bernoulli shift on $S^\mathbb{Z}$
First prove it for cylinders. Then prove it for finite unions of cylinders. I think then you can use an approximation argument: approximate (in symmetric difference) an arbitrary measurable set with finite union of cylinders.
Apr
16
comment Nonconstant linear functional on a topological vector space is an open mapping
You are assuming $f$ is continuous, which is not part of Rudin's statement.
Apr
16
revised Nonconstant linear functional on a topological vector space is an open mapping
added 21 characters in body