An Abstract Beurlings Theorem for Several Complex Variables II

2021/09/02 by Charles W. Neville, Neville, Charles W.
Mathematics · #32A36 (Primary) #42B30 47A15 (Secondary) #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2109.00695

openalex publication_date 2021/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a previous paper, we presented an Abstract Beurling's Theorem for valuation Hilbert modules over valuation algebras. In this paper, we shall apply this theorem to obtain complete descriptions of the closed invariant subspaces of a number of Hilbert spaces of analytic functions in several complex variables.

Citations

• On two problems concerning linear transformations in hilbert space

Related

• Beurling's Theorem for Valuation Hilbert Modules and Several Complex Variables
• An Abstract Beurling's Theorem for Several Complex Variables I
• Variations on a theme of Beurling
• A Beurling Theorem for Generalized Hardy Spaces on a Multiply Connected Domain
• Invariance Under Bounded Analytic Functions