Complex hyperbolic geometry and Hilbert spaces with complete Pick kernels

DOI10.1016/j.jfa.2018.08.017zbMath1417.46018arXiv1803.02459OpenAlexW2888620712MaRDI QIDQ1712597

Richard Rochberg

Publication date: 22 January 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02459

zbMATH Keywords

complex hyperbolic spacecomplete Pick property

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (3)

Harmonic analysis of network systems via kernels and their boundary realizations ⋮ Distance between reproducing kernel Hilbert spaces and geometry of finite sets in the unit ball ⋮ Three classification results in the theory of weighted Hardy spaces on the ball

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Dirichlet space: a survey
• Hermitian symmetric spaces and Kähler rigidity
• The shape invariant of triangles and trigonometry in two-point homogeneous spaces
• Function theory. Interpolation and corona problems
• Operator algebras of functions
• An example of a non nuclear C*-algebra, which has the metric approximation property
• A geometrical interpretation of the shape invariant for geodesic triangles in complex projective spaces
• Congruence criteria for finite subsets of complex projective and complex hyperbolic spaces
• Groups of hierarchomorphisms of trees and related Hilbert spaces
• The moduli space of \(n\)+1 points in complex hyperbolic \(n\)-space
• Coherent state embeddings, polar divisors and Cauchy formulas
• The Maslov index revisited
• Topics in dyadic Dirichlet spaces
• Carleson measures for analytic Besov spaces.
• Multipliers of embedded discs
• An invariant for triples in the Shilov boundary of a bounded symmetric domain
• Potential theory on trees, graphs and Ahlfors-regular metric spaces
• Gromov hyperbolic spaces
• Introduction to Model Spaces and their Operators
• Bounded cohomology and totally real subspaces in complex hyperbolic geometry
• Function spaces related to the Dirichlet space
• Distance Functions for Reproducing Kernel Hilbert Spaces
• The pseudohyperbolic metric and Bergman spaces in the ball
• Operator Theory and Function Theory in Drury–Arveson Space and Its Quotients
• A Characterization of Pick Bodies
• Von Neumann's Inequality for Commuting, Diagonalizable Contractions. I
• Is the Dirichlet space a quotient of 𝐷𝐴_{𝑛}?
• Isometries of certain operator algebras
• The Isomorphism Problem for Complete Pick Algebras: A Survey
• Carleson measures and interpolating sequences for Besov spaces on complex balls
• Operator algebras for analytic varieties
• Operator algebras of idempotents
• Matrix-valued interpolation and hyperconvex sets

This page was built for publication: Complex hyperbolic geometry and Hilbert spaces with complete Pick kernels