Boundary Kernel Rigidity and Infinite-Dimensional Complex Hyperbolic Representations

Zhongqi Wang, Shihai Yang

For n>=2, we prove a rigidity theorem for the Hermitian boundary kernels L_{t,s}(x,y)=|1-<x,y>|^t exp(is arg(1-<x,y>)), x != y, on S^{2n-1}, with L_{t,s}(x,x)=0, t>0, and s in [-1,…