Hankel forms of arbitrary weight over a symmetric domain via the transvectant

DOI10.1216/rmjm/1181072389zbMath0815.30011OpenAlexW2080064639MaRDI QIDQ1344008

Jaak Peetre

Publication date: 9 July 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072389

zbMATH Keywords

transvectantBergman kernelBergman operatorsymmetric domainHankel forms

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Kernel functions in one complex variable and applications (30C40)

Related Items (9)

Tensor products of holomorphic representations and bilinear differential operators ⋮ Rankin-Cohen brackets, transvectants and covariant differential operators ⋮ Computation of weighted Bergman inner products on bounded symmetric domains and restriction to subgroups ⋮ Computation of weighted Bergman inner products on bounded symmetric domains and Parseval-Plancherel-type formulas under subgroups ⋮ A geometric interpretation and explicit form for higher-order Hankel operators ⋮ Homogeneous operators on Hilbert spaces of holomorphic functions ⋮ Rankin-Cohen brackets on tube-type domains ⋮ Covariant quantization: spectral analysis versus deformation theory ⋮ Trace class criteria for bilinear Hankel forms of higher weights

Cites Work

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• Notes on projective structures on complex manifolds
• Tensor Products of Holomorphic Discrete Series Representations
• Tensor Products of Weighted Bergman Spaces and Invariant Ha-Plitz Operators.
• Superconformally covariant operators and super-W-algebras
• Besov Spaces of M‐harmonic Functions on Bounded Symmetric Domains
• A weighted Plancherel formula II. The case of the ball
• Hankel kernels of higher weight for the ball

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