On homogeneous operators in the Cowen-Douglas class over polydisc

MaRDI QIDQ2075842

Prahllad Deb

Publication date: 16 February 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2022/28-15.html

zbMATH Keywords

curvaturehomogeneous operatorsHilbert modulesbounded symmetric domainCowen-Douglas classHermitian holomorphic homogeneous vector bundles

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Cowen-Douglas operators (47B13)

Cites Work

• Bounded modules, extremal problems, and a curvature inequality
• On quotient modules -- the case of arbitrary multiplicity
• HOMOGENEOUS VECTOR BUNDLES AND COWEN-DOUGLAS OPERATORS
• Curvature and the Backward Shift Operators
• Generalized Bergman Kernels and the Cowen-Douglas Theory
• A classification of homogeneous operators in the Cowen-Douglas class
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