Symmetric Solutions to Symmetric Partial Difference Equations

2023/10/02 by Shankar, Shiva
#39A05 #39A14 #58D19 #Classical Analysis and ODEs (math.CA) #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.2310.00903

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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