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A. Edigarian

Publications and source records attributed to A. Edigarian.

3 recordsLinked to original sources
arXiv2008

Schwarz Lemma for the tetrablock

We describe all complex geodesics in the tetrablock passing through the origin thus obtaining the form of all extremals in the Schwarz Lemma for the tetrablock. Some other extremals for the Lempert function and geodesics are also given. The paper may be seen as a continuation of the results Abouhajar, White and Young. The proofs rely on a necessary form of complex geodesics in general domains which is also proven in the paper.

math.CV↗
arXiv2004

Geometry of the symmetrized polydisc

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 $\MM_n(\CC^n)$.

math.CV↗