Geometric invariants for a class of submodules of analytic Hilbert modules via the sheaf model

DOI10.1007/s11785-022-01300-0arXiv2210.16912OpenAlexW4309582205MaRDI QIDQ6084368

Samrat Sen, Gadadhar Misra, Shibananda Biswas

Publication date: 30 November 2023

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.16912

zbMATH Keywords

linear spaceresolutionHilbert modulecoherent sheafsubmodulereproducing kernel functionholomorphic Hermitian vector bundleanalytic Hilbert module

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36) Holomorphic functions of several complex variables (32A10) Algebras of holomorphic functions of several complex variables (32A38) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Cowen-Douglas operators (47B13)

Cites Work

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• Localization of Hilbert modules
• Decomposition of the tensor product of two Hilbert modules
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• An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
• Resolution of singularities for a class of Hilbert modules
• Unitary invariants for Hilbert modules of finite rank
• Generalized Bergman Kernels and the Cowen-Douglas Theory
• Sharp Kernels and Canonical Subspaces (Revised)
• Theory of Reproducing Kernels
• Complex geometry and operator theory

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