Algebras of symmetric holomorphic functions of several complex variables

DOI10.1007/s13163-018-0261-xzbMath1410.32004OpenAlexW2791583214WikidataQ130095914 ScholiaQ130095914MaRDI QIDQ1790939

Domingo García, Javier Falcó, Manuel Maestre, Richard Martin Aron

Publication date: 4 October 2018

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-018-0261-x

zbMATH Keywords

proper holomorphic mappingssymmetrized polydiskalgebras of holomorphic functions of several variables

Mathematics Subject Classification ID

Proper holomorphic mappings, finiteness theorems (32H35) Algebras of holomorphic functions of several complex variables (32A38)

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Cites Work

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• The convolution operation on the spectra of algebras of symmetric analytic functions
• A multiplicative convolution on the spectra of algebras of symmetric analytic functions
• Polynomial convexity
• An equivalence to the Gleason problem
• Invariants of finite reflection groups
• Separation theorems for group invariant polynomials
• Geometry of the symmetrized polydisc
• Solving the Gleason problem on linearly convex domains
• The hyperbolic geometry of the symmetrized bidisc
• Proper holomorphic mappings, Bell's formula, and the Lu Qi-Keng problem on the tetrablock
• Group-symmetric holomorphic functions on a Banach space
• Reproducing kernel for a class of weighted Bergman spaces on the symmetrized polydisc
• Some algebras of symmetric analytic functions and their spectra
• ALGEBRAS OF SYMMETRIC HOLOMORPHIC FUNCTIONS ON ${\cal L}_p$
• Ideals, Varieties, and Algorithms
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections