On unitary invariants of quotient Hilbert modules Along smooth complex analytic sets

DOI10.1016/j.bulsci.2021.102977OpenAlexW3145770603MaRDI QIDQ2028054

Prahllad Deb

Publication date: 31 May 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06964

zbMATH Keywords

curvaturejet bundlesHilbert modulesCowen-Douglas operatorquotient module

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Zero sets of holomorphic functions of several complex variables (32A60) Complex manifolds as subdomains of Euclidean space (32Q35) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Cowen-Douglas operators (47B13)

Related Items

Specht's invariant and localization of operator tuples ⋮ Recursive formula for covariant derivatives and geometric classification of quotient modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A local theory for operator tuples in the Cowen-Douglas class
• Equivalence of connections
• Quasi-free resolution of Hilbert modules
• On quotient modules -- the case of arbitrary multiplicity
• Localization of Hilbert modules
• Equivalence of quotient Hilbert modules
• Density of algebras generated by Toeplitz operators on Bergman spaces
• On quasi-free Hilbert modules
• Differential Analysis on Complex Manifolds
• Generalized Bergman Kernels and the Cowen-Douglas Theory
• A Multivariate Faa di Bruno Formula with Applications
• Equivalence of quotient Hilbert modules–II
• Theory of Reproducing Kernels
• Complex geometry and operator theory