Analysis on the cone of discrete Radon measures

Autor: Finkelshtein, Dmitri, Kondratiev, Yuri, Kuchling, Peter, Lytvynov, Eugene, Oliveira, Maria Joao
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We study analysis on the cone of discrete Radon measures over a locally compact Polish space $X$. We discuss probability measures on the cone and the corresponding correlation measures and correlation functions on the sub-cone of finite discrete Radon measures over $X$. For this, we consider on the cone an analogue of the harmonic analysis on the configuration space developed in [12]. We also study elements of the difference calculus on the cone: we introduce discrete birth-and-death gradients and study the corresponding Dirichlet forms; finally, we discuss a system of polynomial functions on the cone which satisfy the binomial identity.
Comment: 24 pages
Databáze: arXiv