Geometry of uniqueness varieties for a three-point Pick problem in \(\mathbb{D}^3\)

DOI10.1016/j.bulsci.2023.103337zbMath1528.32015arXiv2204.06612OpenAlexW4386701218MaRDI QIDQ6071776

Krzysztof Maciaszek

Publication date: 29 November 2023

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.06612

zbMATH Keywords

Nevanlinna-Pick interpolationextension of holomorphic functions

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Cites Work

• Unnamed Item
• Extensions of bounded holomorphic functions on the tridisk
• The magic functions and automorphisms of a domain
• Norm preserving extensions of holomorphic functions from subvarieties of the bidisk
• The three point pick problem on the bidisk
• Norm preserving extensions of holomorphic functions defined on varieties in \(\mathbb{C}^n\)
• Distinguished varieties
• Three-point Nevanlinna–Pick problem in the polydisc
• Norm preserving extensionsof bounded holomorphic functions
• Extension Property and Universal Sets

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