Су-Юн Лю

Boundary Rigidity of Line-Bundle Shilov--Poisson Transforms on Bounded Symmetric Domains

Let $\Omega=G/K$ be an irreducible bounded symmetric domain other than the unit disk, and let $S$ be its Shilov boundary. We study the two-parameter family of Shilov--Poisson transforms between homogeneous line bundles over $S$ and $\Omega$. For a transform $F$ of $L^2$ boundary data, we determine what finite Euclidean...