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Symmetric Solutions to Symmetric Partial Difference Equations

Published 2 Oct 2023 in math.CA, cs.SY, eess.SY, and math.OC | (2310.00903v3)

Abstract: This paper studies systems of linear difference equations on the lattice $\Zn$ that are invariant under a finite group of symmetries, and shows that there exist solutions to such systems that are also invariant under this group of symmetries.

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