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Results tagged with cv.complex-variables
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user 2386
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
2
votes
2
answers
874
views
What $Re(f(z))=c$ can be if $f$ is a holomorphic function ?
Suppose that $f:U\subset\mathbb{C}\to\mathbb{C}$, where $U$ is a region in the complex plane, is a holomorphic function.
Of course, if $c\in\mathbb{R}$ is a regular value for $\text{Re}(f(z))$ then …
- 2,044
3
votes
0
answers
360
views
Is this an injective function ?
Hi all,
I got stuck with a problem that pop up in a paper about location of zeros for some analytic functions that I am working on.
The problem is the following:
Fix two arbitrary positive integer …
- 2,044
2
votes
2
answers
352
views
Coefficients of holomorphic functions defined by Borel probability measures on the unit disc
Let be $\mathcal M(\partial\mathbb D)$ denote the set of all Borel complex probability measures on $\partial\mathbb D$ (unit circle in the complex plane). Define a mapping $\Phi:\mathcal M(\partial\ma …
- 2,044