Nevanlinna-Pick problem and uniqueness of left inverses in convex domains, symmetrized bidisc and tetrablock

Abstract

In the paper we discuss the problem of uniqueness of left inverses (solutions of two point Nevanlinna-Pick problem) in bounded convex domains, strongly linearly convex domains, the symmetrized bidisc and the tetrablock.

24 pages, after revision with more details and the title changed, accepted for publication in Journal of Geometric Analysis

References in corpus (2)

• Operator theory on the tetrablock
• Geometry of quasi-circular domains and applications to tetrablock

Cited by in corpus (1)

• Spectral Nevanlinna-Pick problem and weak extremals in the symmetrized bidisc