Toeplitz Operators on Bounded Symmetric Domains

DOI10.2307/1999610zbMath0527.47019OpenAlexW4244342894MaRDI QIDQ3308610

Harald Upmeier

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999610

zbMATH Keywords

Hardy spaceHilbert ballsirreducible representations of the Toeplitz C*-algebraJordan algebraic description of bounded symmetric domainsLie ballsToeplitz operators with continuous symbol function

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) General theory of (C^*)-algebras (46L05) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Jordan structures on Banach spaces and algebras (17C65)

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Essential normality for Beurling-type quotient modules over tube-type domains, Schatten class Bergman-type and Szegö-type operators on bounded symmetric domains, Dixmier trace for Toeplitz operators on symmetric domains, The asymptotics of spherical functions and the central limit theorem on symmetric cones, Hardy classes and related spaces of analytic functions in the unit circle, polydisc, and the ball, Homogeneous vector bundles and intertwining operators for symmetric domains, Function spaces and reproducing kernels on bounded symmetric domains, Generalized principal series representations and tube domains, The Berezin transform and invariant differential operators, Unnamed Item, Hua operators, Poisson transform and relative discrete series on line bundles over bounded symmetric domains, Homogeneous multiplication operators on bounded symmetric domains., \(K\)-invariant Hilbert modules and singular vector bundles on bounded symmetric domains, Index theory for Toeplitz operators on bounded symmetric domains, Stratified Hilbert modules on bounded symmetric domains, Toeplitz C ∗-Algebras on Boundary Orbits of Symmetric Domains, Toeplitz quantization and asymptotic expansions for real bounded symmetric domains, Laplace and Segal--Bargmann transforms on Hermitian symmetric spaces and orthogonal poly\-nomials., Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds, Toeplitz operators on Jordan-Kepler varieties, Almost-invertible Toeplitz operators and K-theory, Non-vanishing functions and Toeplitz operators on tube-type domains, Degenerate principal series representations and their holomorphic extensions, On the Faraut-Koranyi hypergeometric functions in rank two., Quantum complex Minkowski space, Eigenvalues of \(K\)-invariant Toeplitz operators on bounded symmetric domains, Toeplitz operators on generalised \(H^ 2\) spaces, Hilbert modules and complex analytic fibre spaces, Shilov boundaries determine irreducible bounded symmetric domains, Toeplitz operators and solvable 𝐶*-algebras on Hermitian symmetric spaces, Toeplitz operators on symmetric Siegel domains, Invariant differential operators on Hermitian symmetric spaces and their eigenvalues, K-theory of Toeplitz \(C^*\)-algebras on Lie spheres, Combinatorics and invariant differential operators on multiplicity free spaces., An index theorem for multivariable Toeplitz operators, Analytic models for commuting operator tuples on bounded symmetric domains

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