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Finite Difference Calculus in the Continuum
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DOI：10.1007/s11253-025-02482-4.png)
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Abstract
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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.
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