Level curve portraits of rational inner functions
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Publication:5003260
DOI10.2422/2036-2145.201804_025zbMath1482.14037arXiv1803.04666OpenAlexW2790129475MaRDI QIDQ5003260
Alan A. Sola, Kelly Bickel, James Eldred Pascoe
Publication date: 21 July 2021
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.04666
Special algebraic curves and curves of low genus (14H45) Boundary behavior of holomorphic functions of several complex variables (32A40) Meromorphic functions of several complex variables (32A20) Local complex singularities (32S05) Analytic algebras and generalizations, preparation theorems (32B05) Blaschke products (30J10)
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Cites Work
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- Nevanlinna representations in several variables
- Properties of Beurling-type submodules via Agler decompositions
- Nevanlinna-Pick interpolation on distinguished varieties in the bidisk
- Polynomials with no zeros on the bidisk
- A Carathéodory theorem for the bidisk via Hilbert space methods
- Local geometry of zero sets of holomorphic functions near the torus
- Holomorphic functions on the polydisc having positive real part
- Inner functions on the bidisk and associated Hilbert spaces
- Scattering systems with several evolutions and multidimensional input/state/output systems
- Distinguished varieties
- Toral algebraic sets and function theory on polydisks
- Spectral sets and distinguished varieties in the symmetrized bidisc
- Cyclic polynomials in two variables
- Polynomials defining distinguished varieties
- Multivariate stable polynomials: theory and applications
- Integrability and regularity of rational functions:
- Rational Inner Functions on Bounded Symmetric Domains
- Two-variable polynomials: intersecting zeros and stability
- Derivatives of rational inner functions: geometry of singularities and integrability at the boundary
- Rational Inner Functions on a Square-Matrix Polyball
- Compressions of the Shift on the Bidisk and their Numerical Ranges
- An Inductive Julia-Carathéodory Theorem for Pick Functions in Two Variables
- Ideals, Varieties, and Algorithms
- 2-D stable polynomials with parameter-dependent coefficients: generalizations and new results
- A wedge‐of‐the‐edge theorem: analytic continuation of multivariable Pick functions in and around the boundary
- Pairs of Inner Functions on Finite Riemann Surfaces