Dilations and operator models of \({\mathcal{W}}\)-hypercontractions
DOI10.1007/978-3-031-50535-5_6MaRDI QIDQ6610390
Samir Panja, B. Krishna Das, Monojit Bhattacharjee, Ramlal Debnath
Publication date: 25 September 2024
characteristic functionweighted shiftcommuting contractionsbounded analytic functionshypercontractionBergman space over the polydisc
Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Subnormal operators, hyponormal operators, etc. (47B20) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Dilations, extensions, compressions of linear operators (47A20) Bergman spaces of functions in several complex variables (32A36) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)
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