A carregar...
Publicação
Analysis on the cone of discrete Radon measures
| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 262.44 KB | Adobe PDF |
Orientador(es)
Resumo(s)
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 [Y. G. Kondratiev, T. Kuna, Harmonic analysis on configuration space. I. General theory, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5 (2002), 201–233.]. We also study elements of finite-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.
Descrição
Palavras-chave
Cone of discrete Radon measures Correlation measures and correlation functions Harmonic analysis Finite-difference calculus
Contexto Educativo
Citação
Finkelshtein, D., Kondratiev, Y., Kuchling, P., Lytvynov, E., Oliveira, M. J., Analysis on the cone of discrete Radon measures. Pure Appl. Funct. Anal. 10 (2) (2025), 307--329.
Editora
Yokohama Publishers