A hierarchy of Palm measures for determinantal point processes with gamma kernels

Alexander I. Bufetov, Grigori Olshanski

The gamma kernels are a family of projection kernels $K^{(z,z^{\prime })}=K^{(z,z^{\prime })}(x,y)$ on a doubly infinite $1$-dimensional lattice. They are expressed through Euler's gamma function an…