Yuri Neretin

Reproducing kernels on the space of univalent functions

The space $K$ of functions univalent in the unit disk and smooth up to the boundary is homogeneius space of the group of diffeomorphisms of the circle (a stabilizer of a point is the group pf rotations of the circle). The space $K$ is an infinite-dimensional analog of Hermitian symmetric spaces. We write a two-parametric family of invariant reproducing kernels on $K$.

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