Work

Finite Difference Calculus in the Continuum

Year: 2025

Type: article

Abstract: 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.

Source: Ukrainian Mathematical Journal

DOI: 10.1007/s11253-025-02482-4

Authors: Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov, Maria João Oliveira

Institutions: Swansea University, Bielefeld University, Dragomanov Ukrainian State University, University of Lisbon, Universidade Aberta

Language: English

Topic: Mathematical and Theoretical Analysis

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: Fundação para a Ciência e a Tecnologia