Analysis on the cone of discrete Radon measures

Autor:	Finkelshtein, Dmitri, Kondratiev, Yuri, Kuchling, Peter, Lytvynov, Eugene, Oliveira, Maria Joao
Rok vydání:	2023
Předmět:	Mathematical Physics Mathematics - Functional Analysis
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
Externí odkaz:	http://arxiv.org/abs/2312.03537 Zobrazit plný text záznamu View this record from Arxiv