Finite difference calculus in the continuum

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

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

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
UMJ2025.pdf		176.57 KB	Adobe PDF	Download

Send Feedback

Authors

Abstract(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.

Keywords

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

URI

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

Citation

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

Publisher

Springer

DOI

10.1007/s11253-025-02482-4

Collections

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

CC License

cclicense-by

Altmetrics

Full item page