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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.23847 |
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| _version_ | 1866909866422960128 |
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| author | Finkelshtein, Dmitri Kondratiev, Yuri Lytvynov, Eugene Oliveira, Maria Joao |
| author_facet | Finkelshtein, Dmitri Kondratiev, Yuri Lytvynov, Eugene Oliveira, Maria Joao |
| contents | The paper describes known and new results about finite difference calculus on configuration spaces. We describe finite difference geometry on configuration spaces, connect finite difference operators with cannonical commutation relations, find explicit form for certain finite difference Markov generators on configuration spaces, and describe spaces of Newton series defined over the configuration spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23847 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite difference calculus in the continuum Finkelshtein, Dmitri Kondratiev, Yuri Lytvynov, Eugene Oliveira, Maria Joao Mathematical Physics Functional Analysis 60G55, 60J25, 47B39, 47B93, 81S05, 05A10, 05A40 The paper describes known and new results about finite difference calculus on configuration spaces. We describe finite difference geometry on configuration spaces, connect finite difference operators with cannonical commutation relations, find explicit form for certain finite difference Markov generators on configuration spaces, and describe spaces of Newton series defined over the configuration spaces. |
| title | Finite difference calculus in the continuum |
| topic | Mathematical Physics Functional Analysis 60G55, 60J25, 47B39, 47B93, 81S05, 05A10, 05A40 |
| url | https://arxiv.org/abs/2410.23847 |