A product formula for homogeneous characteristic functions
DOI10.1007/s00020-023-02730-xzbMath1530.47011arXiv1907.04038OpenAlexW2958333496MaRDI QIDQ6168096
Bhaskar Bagchi, Somnath Hazra, Gadadhar Misra
Publication date: 10 July 2023
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.04038
homogeneous operatorsprojective representationsassociatorMöbius grouppure contractionsSz.-Nagy-Foias characteristic functiondefect spacesequivariant model theory
Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45) Projective representations and multipliers (20C25) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Cowen-Douglas operators (47B13)
Related Items (3)
Cites Work
- Homogeneous operators on Hilbert spaces of holomorphic functions
- Curvature and discrete series representation of \(SL_ 2({\mathbb{R}})\)
- Homogeneous operators and projective representations of the Möbius group: A survey
- The homogeneous shifts.
- On quotient modules -- the case of arbitrary multiplicity
- Multipliers on locally compact groups
- Limits of holomorphic discrete series
- Harmonic analysis of operators on Hilbert space
- Function spaces and reproducing kernels on bounded symmetric domains
- Analytic continuation of the irreducible unitary representations of the universal covering group of 𝑆𝐿(2,𝑅)
- A classification of homogeneous operators in the Cowen-Douglas class
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A product formula for homogeneous characteristic functions