Finite difference calculus in the continuum

Finkelshtein, Dmitri; Kondratiev, Yuri; Lytvynov, Eugene; Oliveira, Maria João

http://hdl.handle.net/10400.2/20387

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Resumo(s)

We describe known and new results on the ﬁnite-difference calculus on conﬁguration spaces. We also describe the ﬁnite-difference geometry on conﬁguration spaces, relate ﬁnite-difference operators to the canonical commutation relations, ﬁnd explicit form of certain ﬁnite-difference Markov generators on conﬁguration spaces, and describe spaces of Newton series deﬁned over the conﬁguration spaces.

Palavras-chave

Falling factorials Patial combinatorics Configuration spaces Newton series Poisson measure Wick ordering Canonical commutation relations

URI

http://hdl.handle.net/10400.2/20387

Citação

Finkelshtein, D., Kondratiev, Y., Lytvynov, E. et al. Finite Difference Calculus in the Continuum. Ukr Math J (2025). https://doi.org/10.1007/s11253-025-02482-4

Editora

Springer

DOI

10.1007/s11253-025-02482-4

Coleções

Matemática e Estatística | Artigos em revistas internacionais / Papers in international journals

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