Genkai Zhang

2023

Heisenberg parabolically induced representations of Hermitian Lie groups, Part I: Intertwining operators and Weyl transform

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

2022

Principal series of Hermitian Lie groups induced from Heisenberg parabolic subgroups

2021

The asymptotic of curvature of direct image bundle associated with higher powers of a relatively ample line bundle

Plurisuperharmonicity of reciprocal energy function on Teichmüller space and Weil-Petersson metric

2020

Second variation of Selberg zeta functions and curvature asymptotics

2020

Toledo invariant of lattices in SU(2,1) via symmetric square

2020

CONNECTION AND CURVATURE ON BUNDLES OF BERGMAN AND HARDY SPACES

2020

Norm estimates and asymptotic faithfulness of the quantum SU(n) representations of the mapping class group

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

2017

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

Invariant Differential Operators on H-Type Groups and Discrete Components in Restrictions of Complementary Series of Rank One Semisimple Groups

On boundary value problems for some conformally invariant differential operators

Degenerate principal series representations of SO(p+1, p)

2015

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

Hua operators, Poisson transform and relative discrete series on line bundles over bounded symmetric domains

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

Tensor products of minimal holomorphic representations

Berezin transform on real bounded symmetric domains