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Results tagged with cv.complex-variables
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user 75422
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
3
votes
Sampling Theorem for non-bandlimited Functions
No. Example $f(x)=e^{-cx^2}\sin(\pi x)$, chosing $c$ in the proper range...
- 3,085
3
votes
Accepted
Sampling Theorem for non-bandlimited Functions
No as well to the edited question (if I understood it...): $f(x)=e^{-cx^2}\sin(\pi x/\alpha)$
- 3,085
2
votes
Accepted
Closed orbit for vector field $f(\bar{z})$ where $f$ is holomorphic function
Yes, $U=\{z:a<|z|<b\}$ ($a>0$) and $f(z)=i/\bar z$. Orbits are circles $\{|z|=c\}$.
- 3,085
1
vote
Accepted
Reproducing Kernel of a RKHS of continuous functions may not be continuous in two variables ...
Let $1=a_0=a_1>\ldots >a_n>\ldots >0$, and let $e_n$ be the "triangle" function that vanishes outside $(a_{n+1},a_{n-1})$, equals $1$ at $a_n$, and interpolates linearly from $0$ to $1$ on $[a_{n+1},a …
- 3,085