Genkai Zhang

Showing 64 publications
Plurisubharmonicity and Geodesic Convexity of Energy Function on Teichmuller Space
BRANCHING OF METAPLECTIC REPRESENTATION OF Sp(2,R) UNDER ITS PRINCIPAL SL(2,R)-SUBGROUP
Principal series of Hermitian Lie groups induced from Heisenberg parabolic subgroups
Plurisuperharmonicity of reciprocal energy function on Teichmüller space and Weil-Petersson metric
Second variation of Selberg zeta functions and curvature asymptotics
Toledo invariant of lattices in SU(2,1) via symmetric square
CONNECTION AND CURVATURE ON BUNDLES OF BERGMAN AND HARDY SPACES
An extension problem related to the fractional Branson–Gover operators
Holomorphic Isometries from the Unit Ball into Symmetric Domains
Positivity of Shimura operators
Hausdorff Moment Sequences Induced by Rational Functions
Convex real projective structures and Weil's local rigidity theorem
Local rigidity of complex hyperbolic lattices in semisimple Lie groups
TOEPLITZ OPERATORS ON HIGHER CAUCHY-RIEMANN SPACES
Eichler-Shimura isomorphism for complex hyperbolic lattices
The Capelli Identity and Radon Transform for Grassmannians
Tensor products of complementary series of rank one Lie groups
Curvature inequalities for operators of the Cowen-Douglas class
Kahler metric on the space of convex real projective structures on surface
Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups
Hankel operators and the Dixmier trace on the Hardy space
On boundary value problems for some conformally invariant differential operators
Degenerate principal series representations of SO(p+1, p)
Discrete components in restriction of unitary representations of rank one semisimple Lie groups
Invariant trilinear forms on spherical principal series of real rank one semisimple Lie groups
Reproducing kernel for a class of weighted Bergman spaces on the symmetrized polydisc
Trace formulas and $p$-essentially normal properties of quotient modules on the bidisk
Realization of quaternionic discrete series on the unit ball in H^d
Fundamental Solutions of Kohn Sub-Laplacians on Anisotropic Heisenberg Groups and H-type Groups
Ramadanov conjecture and line bundles over compact Hermitian symmetric spaces
Rankin–Cohen brackets, transvectants and covariant differential operators
Degenerate $p$-Laplacian Operators and Hardy Type Inequalities on H-Type Groups
Hankel Operators and the Dixmier Trace on Strictly Pseudoconvex Domains
Degenerate principal series representations and their holomorphic extensions
Toeplitz and Hankel operators and Dixmier traces on the unit ball of Cn
Radon, cosine and sine transforms on Grassmannian manifolds.
Segal–Bargmann and Weyl transforms on compact Lie groups. (With Joachim Hilgert)
Radon transform on symmetric matrix domains
Radon transform on H-type and siegel-type nilpotent groups
Biorthogonal Expansion of Non-Symmetric Jack Functions
Radon transform on H-type and Siegel-type nilpotent groups
Radon transform on real, complex, and quaternionic Grassmannians.
Hua operators and Poisson transform for bounded symmetric domains.
Hua operators and Poisson transform for bounded symmetric domains
Nonsymmetric Jacobi and Wilson-type polynomials.
On the derivatives of the Berezin transform
Nonsymmetric Jacobi and Wilson-type polynomials
Spherical transform and Jacobi polynomials on root systems of type BC
Laplacians on quotients of Cauchy-Riemann complexes and Szegö map for L2-harmonic forms.
Covariant q-differential operators and unitary highest weight representations for U(q)su(n,)n
Hilbert Spaces of tensor-valued holomorphic functions on the unit ball of C-n
Tensor products of holomorphic representations and bilinear differential operators.
On the Faraut-Koranyi hypergeometric functions in rank two.
Capelli identity and relative discrete series of the line bundle over tube domains
Branching coefficients of holomorphic representations and Segal-Bargmann transform
Invariant differential operators on symmetric cones and Hermitian symmetric spaces
Homogeneous multiplication operators on bounded symmetric domains
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Showing 4 research projects
Hilbert modules of analytic function spaces
Analysis on symmetric and locally symmetric spaces. Representations of Lie groups.
Radon transform. Harmonic and Complex Analysis on symmetric spaces. Representations of Lie groups.