Genkai Zhang

activity

19992005

most citedSegal-Bargmann transform on Hermitian symmetric spaces and Orthogonal Polynomials

9 citations · 14 across the 3 of their papers we have counts for

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5 papers · 1 filter

math.RT2005★ 5 cited

Spherical transform and Jacobi polynomials on root systems of type BC

Genkai Zhang

Let $R$ be a root system of type BC in $a = R^{r}$ of general positive multiplicity. We introduce certain canonical weight function on $R^{r}$ which in the case…

math.RT2004

Laplacians on quotients of Cauchy-Riemann complexes and Szegö map for $L^{2}$ -harmonic forms

Bent Orsted, Genkai Zhang

We compute the spectra of the Tanaka type Laplacians on the Rumin complex, a quotient of the tangential Cauchy-Riemann complex on the unit sphere in $C^{n}$ . We prove that Szegö map…

math.RT2002★ 9 cited

Segal-Bargmann transform on Hermitian symmetric spaces and Orthogonal Polynomials

Mark Davidson, Gestur Olafsson, Genkai Zhang

Let $D = G / K$ be a complex bounded symmetric domain of tube type in a complex Jordan algebra $V$ and let $D_{R} = H / L \subset D$ be its real form…

math.RT2001

Branching coefficients of holomorphic representations and Segal-Bargmann transform

Genkai Zhang

Let $D = G / K$ be a complex bounded symmetric domain of tube type in a Jordan algebra $V_{C}$ , and let $D = H / L = D \cap V$ be its real form in a Jordan algebra $V…

math.RT1999

Nearly Holomorphic Functions and Relative Discrete Series of Weighted $L^{2}$ -Spaces on Bounded Symmetric Domains

Genkai Zhang

We realize the relative discrete series of a weighted $L^{2}$ -space on a bounded symmetric doamin as kernels of invariant Cauchy-Riemann operator, and thus as the spaces of nearly ho…

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

Segal-Bargmann transform on Hermitian symmetric spaces and Orthogonal Polynomials

Branching coefficients of holomorphic representations and Segal-Bargmann transform

Nearly Holomorphic Functions and Relative Discrete Series of Weighted L2-Spaces on Bounded Symmetric Domains

Laplacians on quotients of Cauchy-Riemann complexes and Szegö map for $L^{2}$ -harmonic forms

Nearly Holomorphic Functions and Relative Discrete Series of Weighted $L^{2}$ -Spaces on Bounded Symmetric Domains