Computation of weighted Bergman inner products on bounded symmetric domains and restriction to subgroups
DOI10.3842/SIGMA.2022.033MaRDI QIDQ2671628
Publication date: 3 June 2022
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.13976
highest weight modulesweighted Bergman spacesintertwining operatorsholomorphic discrete series representationssymmetry breaking operatorsbranching laws
Harmonic analysis on homogeneous spaces (43A85) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Hypergeometric functions associated with root systems (33C67) Associated groups, automorphisms of Jordan algebras (17C30)
Related Items (2)
Cites Work
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- Differential symmetry breaking operators. I: General theory and F-method
- Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs
- Conformal symmetry breaking operators for differential forms on spheres
- Holonomic systems of Gegenbauer type polynomials of matrix arguments related with Siegel modular forms
- Symmetry breaking differential operators, the source operator and Rodrigues formulae
- Realizations of involutive automorphisms \(\sigma\) and \(G^{\sigma}\) of exceptional linear Lie groups G. I: \(G=G_ 2\), \(F_ 4\) and \(E_ 6\)
- Branching laws for Verma modules and applications in parabolic geometry. I
- Hermitian symmetric spaces and their unitary highest weight modules
- Fonctions de Bessel sur une algèbre de Jordan. (Bessel functions on a Jordan algebra)
- Restrictions and expansions of holomorphic representations
- Arithmetic of differential operators on symmetric domains
- Sums involving the values at negative integers of \(L\)-functions of quadratic characters
- Hankel forms of arbitrary weight over a symmetric domain via the transvectant
- Branching coefficients of holomorphic representations and Segal-Bargmann transform
- Generalized transvectants-Rankin-Cohen brackets
- Tensor products of holomorphic representations and bilinear differential operators
- Analysis and geometry on complex homogeneous domains
- Symmetry breaking for representations of rank one orthogonal groups. II
- Construction of intertwining operators between holomorphic discrete series representations
- Inversion of Rankin-Cohen operators via holographic transform
- Families of conformally covariant differential operators, Q-curvature and holography
- Multiplicity-free representations and visible actions on complex manifolds
- Function spaces and reproducing kernels on bounded symmetric domains
- Restriction of some unitary representations of O(1,N) to symmetric subgroups
- A program for branching problems in the representation theory of real reductive groups
- Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs
- Symmetry breaking for representations of rank one orthogonal groups
- Certain Hypergeometric Series Related to the Root System BC
- Norm computation and analytic continuation of vector valued holomorphic discrete series representations
- Symmetry, Representations, and Invariants
- A Class of Generalized Hypergeometric Functions in Several Variables
- The characters of the holomorphic discrete series
- Intertwining Differential Operators for Mp(n, R) and SU(n, n)
- Conformally Covariant Bi-differential Operators on a Simple Real Jordan Algebra
- 𝐹-method for constructing equivariant differential operators
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