The Validity of Beurling Theorems in Polydiscs
From MaRDI portal
Publication:3806235
DOI10.2307/2047542zbMath0658.47033OpenAlexW4239949427MaRDI QIDQ3806235
Publication date: 1988
Full work available at URL: https://doi.org/10.2307/2047542
Stationary stochastic processes (60G10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on function spaces (general) (47B38) Structure theory of linear operators (47A65) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Other generalizations of function theory of one complex variable (32A30)
Related Items (44)
Alternative proofs of Mandrekar’s theorem ⋮ Submodules of \(L^2(\mathbb R^2)\) ⋮ Rank-one commutators on invariant subspaces of the Hardy space on the bidisk ⋮ “Beurling type” subspaces of 𝐿^{𝑝}(𝐓²) and 𝐇^{𝐩}(𝐓²) ⋮ On the structure of shift-invariant subspaces of \(L^ 2 (T^ 2, \mu)\) ⋮ One dimensional perturbation of invariant subspaces in the Hardy space over the bidisk. II ⋮ Invariant subspaces having two side frames over the bidisk ⋮ An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ Properties of Beurling-type submodules via Agler decompositions ⋮ Brangesian Spaces in the Polydisk ⋮ Mixed invariant subspaces over the bidisk. II ⋮ Selfadjoint commutators and invariant subspaces on the torus. II ⋮ Mixed invariant subspaces over the bidisk ⋮ A note on Rudin's pathological submodule in \(H^{2}({\mathbb {D}}^2)\) ⋮ Analytic model of doubly commuting contractions ⋮ In a shadow of the RH: cyclic vectors of Hardy spaces on the Hilbert multidisc ⋮ Beurling quotient subspaces for covariant representations of product systems ⋮ Invariant subspaces generated by a single function in the polydisk ⋮ On the model and invariant subspaces for pairs of commuting isometries ⋮ Dilation theory and analytic model theory for doubly commuting sequences of \(C_{\cdot 0}\)-contractions ⋮ On the shift semigroup on the Hardy space of Dirichlet series ⋮ Blaschke products and the rank of backward shift invariant subspaces over the bidisk ⋮ Wold decomposition for doubly commuting isometries ⋮ INVARIANT SUBSPACES IN THE BIDISC AND WANDERING SUBSPACES ⋮ SPLITTING INVARIANT SUBSPACES IN THE HARDY SPACE OVER THE BIDISK ⋮ Wandering subspaces of the Bergman space and the Dirichlet space over \({{\mathbb{D}^{n}}}\) ⋮ Doubly commuting mixed invariant subspaces in the polydisc ⋮ Beurling quotient modules on the polydisc ⋮ Homogeneous Polynomials and Invariant Subspaces in the Polydisc. II ⋮ Invariant subspaces in Bergman space over the bidisc ⋮ Invariant subspaces of \(\mathcal{H}^2(\mathbb{T}^2)\) and \(L^2(\mathbb{T}^2)\) preserving compatibility ⋮ Ranks of cross commutators on backward shift invariant subspaces over the bidisk ⋮ Operator theory in the Hardy space over the bidisk. III ⋮ Ranks of cross-commutators and unitary module maps ⋮ Doubly commuting invariant subspaces for representations of product systems of \(C^*\)-correspondences ⋮ Survey of last ten years of work done in India in some selected areas of functional analysis and operator theory ⋮ A Shimorin-type analytic model on an annulus for left-invertible operators and applications ⋮ Rank-one cross commutators on backward shift invariant subspaces on the bidisk ⋮ Cyclic polynomials in anisotropic Dirichlet spaces ⋮ Generating wandering subspaces for doubly commuting covariant representations ⋮ The reducibility of compressed shifts on Beurling type quotient modules over the bidisk ⋮ Operator theory in the Hardy space over the bidisk. I ⋮ Submodules of the Hardy module over the polydisc ⋮ Prediction of stationary Gaussian random fields with incomplete quarterplane past
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extrapolation and moving average representation for stationary random fields and Beurling's theorem
- Invariant subspaces of \(H^ 2\) on a torus
- Invariant subspaces in the polydisk
- Shift invariant spaces and prediction theory
- On the Wold-type decomposition of a pair of commuting isometries
This page was built for publication: The Validity of Beurling Theorems in Polydiscs
