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Results tagged with cv.complex-variables
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user 134494
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
12
votes
1
answer
984
views
Zeros of an infinite series
Let $\sum_{j=1}^{\infty}a_{j}$ be a convergent series of positive numbers and $\{z_{j}\}_{j=1}^\infty$ a closed discrete subset of the open unit disc $\mathbb{D}$. Then $h(z):=\sum_{j=1}^{\infty}\frac …
- 391
1
vote
1
answer
110
views
Concise expression for a specific holomorphic map $f:D\times D\longrightarrow \mathbb{B}^{2}$
Let $\mathbb{B}^{2}\subset \mathbb{C}^{2}$ be the unit ball and $D=\{z\in\mathbb{C}:|z|<1\}$. $f=(f_{1},f_{2}):D\times D\longrightarrow \mathbb{B}^{2}$ is a holomorphic map satisfying $\{det df=0\}\su …
- 391
4
votes
1
answer
460
views
multivalued holomorphic function on Riemann surfaces
Let $M$ be an open Riemann surface and $f$ a multivalued holomorphic function from $M$ to $\mathbb{H}$, where $\mathbb{H}$ is the upper half plane. Suppose that the monodromy of $f$ lies in the two-di …
- 391