Rational tetra-inner functions and the special variety of the tetrablock

DOI10.1016/J.JMAA.2021.125534OpenAlexW3188067614MaRDI QIDQ2236003

Omar M. O. Alsalhi, Zinaida A. Lykova

Publication date: 22 October 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.02739

zbMATH Keywords

interpolationtetrablockrational inner functions

Mathematics Subject Classification ID

Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Inner functions of one complex variable (30J05)

Related Items (3)

Rational penta-inner functions and the distinguished boundary of the pentablock ⋮ A dilation theoretic approach to approximation by inner functions ⋮ A Schwarz lemma for the pentablock

Cites Work

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• Interpolation by holomorphic maps from the disc to the tetrablock
• Rational dilation of tetrablock contractions revisited
• A Schwarz lemma for a domain related to \(\mu\)-synthesis
• Nevanlinna-Pick problem and uniqueness of left inverses in convex domains, symmetrized bidisc and tetrablock
• Extremal holomorphic maps in special classes of domains
• Inner functions and operator theory
• The automorphism group of the tetrablock
• Extremal holomorphic maps and the symmetrized bidisc
• The tetrablock as a spectral set

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