A field-theoretic operator model and Cowen-Douglas class

DOI10.1215/17358787-2018-0041zbMath1482.47037arXiv1810.12409OpenAlexW2899211187MaRDI QIDQ1738176

Mihai Putinar, Björn Gustafsson

Publication date: 29 March 2019

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

Full work available at URL: https://arxiv.org/abs/1810.12409

zbMATH Keywords

Cauchy transformhyponormal operatorexponential transformideal fluid flow

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Canonical models for contractions and nonselfadjoint linear operators (47A45) Kernel functions in one complex variable and applications (30C40) Cowen-Douglas operators (47B13)

Related Items

Holomorphic spectral theory: a geometric approach ⋮ Finite term relations for the exponential orthogonal polynomials

Cites Work

• The analytic model of a hyponormal operator with rank one self-commutator
• Functional models in linear algebra
• Lectures on hyponormal operators
• Line bundles defined by the Schwarz function
• Hyponormal quantization of planar domains. Exponential transform in dimension two
• On models for linear operators
• Hermitian Geometry on Resolvent Set
• Local Spectra of Seminormal Operators
• Complex geometry and operator theory