Geometry of the symmetrized polydisc

By A. Edigarian, Wlodzimierz Zwonek. 2004

155 citations recorded by the source corpus.

Abstract.We describe all proper holomorphic mappings of the symmetrized polydisc and study its geometric properties. We also apply the obtained results to the study of the spectral unit ball in $\mathcal{M}_n (\mathbb{C}^n ).$

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9ed2d04e75dc8afb17b1610e2912c3f94ac8a865

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. A. Abouhajar
2. M. White
3. N. Young
4. Jim Agler

In Geometry and Topology

1. N. Young

Citations in the corpus

• A Schwarz lemma for a domain related to μ-synthesis (2007, background): “It transpired that this domain and its higher dimensional analogues have a rich geometry and function theory, of interest independently of their connections with engineering (for example [5, 12, 15, 19, 10] among others).”
• REPRODUCING KERNEL FOR A CLASS OF WEIGHTED BERGMAN SPACES ON THE SYMMETRIZED POLYDISC (2011, unknown): “The Bergman kernel for the symmetrized polydisc is computed explicitly in [7].”