Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Genkai Zhang, University of Gothenburg
Inviter:
Title:
Weighed Bergman spaces on Siegel-Jacobi spaces: I. Reproducing kernels and analytic continuation, discrete spectrum of Laplace operators; II. Bilinear-invariant differential operators.
Time & Venue:
2015.7.21 9:30-11:30am N902
Abstract:
In Part I, I'll study weighted Bergman spaces on the Siegel-Jacobi spaces and their analytic continuation, finding the corresponding Wallach set. We prove that the Jacobi-group invariant Laplace operator has positive eigenvalues above the zero eigenvalue (whose eigenspace is the weighted Bergman space). In Part II, I'll find a decomposition of tensor-products of the weighted Bergman spaces and the corresponding Rankin-Cohen brackets, generalizing my earlier work with Lizhong Peng.
Appendix：
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