Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.03537 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912474897317888 |
|---|---|
| author | Finkelshtein, Dmitri Kondratiev, Yuri Kuchling, Peter Lytvynov, Eugene Oliveira, Maria Joao |
| author_facet | Finkelshtein, Dmitri Kondratiev, Yuri Kuchling, Peter Lytvynov, Eugene Oliveira, Maria Joao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_03537 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Analysis on the cone of discrete Radon measures Finkelshtein, Dmitri Kondratiev, Yuri Kuchling, Peter Lytvynov, Eugene Oliveira, Maria Joao Mathematical Physics Functional Analysis 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. |
| title | Analysis on the cone of discrete Radon measures |
| topic | Mathematical Physics Functional Analysis |
| url | https://arxiv.org/abs/2312.03537 |