Functional description of a class of quasi-invariant determinantal processes

TL;DR

This paper provides a functional characterization of a specific class of quasi-invariant determinantal processes using de Branges spaces of entire functions, linking probabilistic processes with functional analysis.

Contribution

It introduces a novel functional description of quasi-invariant determinantal processes via de Branges spaces, expanding understanding of their structure.

Findings

Characterization of quasi-invariant determinantal processes using de Branges spaces

Establishment of a connection between probabilistic processes and entire function spaces

New insights into the structure of projection kernels in determinantal processes

Abstract

We give a functional characterization of a class of quasi-invariant determinantal processes corresponding to projection kernels in terms of de Branges spaces of entire funcitons.