ИСТИНА

It is known (A.A.Kirillov) that the space of univalent functions is an infinite-dimensional analog of classical Cartan domain in $\mathbb \C^n$, its group of symmetries is the group of diffeomorphisms of circle. We write explicitly a two-parametric family of invariant reproducing kernels on the space of univalent functions (these kernels determine inner products in highest weight modules of Virasoro algebra).