Analysis on the cone of discrete Radon measures
D. Finkelshtein, Y. Kondratiev, P. Kuchling, E. Lytvynov, M.J. Oliveira, ArXiv (2023).
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Autor*in
Finkelshtein, Dmitri;
Kondratiev, Yuri;
Kuchling, Peter
;
Lytvynov, Eugene;
Oliveira, Maria Joao
;
Lytvynov, Eugene;
Oliveira, Maria JoaoAbstract
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.
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arXiv
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Finkelshtein, Dmitri ; Kondratiev, Yuri ; Kuchling, Peter ; Lytvynov, Eugene ; Oliveira, Maria Joao: Analysis on the cone of discrete Radon measures. In: arXiv, arXiv (2023)
Finkelshtein D, Kondratiev Y, Kuchling P, Lytvynov E, Oliveira MJ. Analysis on the cone of discrete Radon measures. arXiv. 2023. doi:10.48550/ARXIV.2312.03537
Finkelshtein, D., Kondratiev, Y., Kuchling, P., Lytvynov, E., & Oliveira, M. J. (2023). Analysis on the cone of discrete Radon measures. ArXiv. https://doi.org/10.48550/ARXIV.2312.03537
@article{Finkelshtein_Kondratiev_Kuchling_Lytvynov_Oliveira_2023, title={Analysis on the cone of discrete Radon measures}, DOI={10.48550/ARXIV.2312.03537}, journal={arXiv}, publisher={arXiv}, author={Finkelshtein, Dmitri and Kondratiev, Yuri and Kuchling, Peter and Lytvynov, Eugene and Oliveira, Maria Joao}, year={2023} }
Finkelshtein, Dmitri, Yuri Kondratiev, Peter Kuchling, Eugene Lytvynov, and Maria Joao Oliveira. “Analysis on the Cone of Discrete Radon Measures.” ArXiv, 2023. https://doi.org/10.48550/ARXIV.2312.03537.
D. Finkelshtein, Y. Kondratiev, P. Kuchling, E. Lytvynov, and M. J. Oliveira, “Analysis on the cone of discrete Radon measures,” arXiv, 2023.
Finkelshtein, Dmitri, et al. “Analysis on the Cone of Discrete Radon Measures.” ArXiv, arXiv, 2023, doi:10.48550/ARXIV.2312.03537.
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