A new characterization for the distinguished boundaries of a few domains related to μ-synthesis

2024/03/02 by N.K. Tomar, Tomar, Nitin
Engineering · #32A07 #32A10 #Complex Variables (math.CV) #Elasticity and Material Modeling #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2403.01159

openalex publication_date 2024/03/02 · openalex created_date 2024/03/06 · openalex updated_date 2026/07/28

Abstract

In this note, we provide an alternative way of describing the distinguished boundariesof symmetrized bidisc, tetrablock and pentablock. We show that each of these distinguished boundaries can be characterized as the union of orbits of two elements under their automorphism groups.

Related

• The Hexablock: a domain associated with the μ-synthesis in M₂(\mathbb C)
• Operators associated with a domain in \mathbb C⁴ and applications
• Geometric Properties of Boundary Orbit Accumulation Points
• Structure theorems for operators associated with two domains related to μ-synthesis
• Topological/Geometric Properties of the Orbit Accumulation Set