Abstract
Static symmetries of linear shift invariant 1D systems had been thoroughly investigated, and the resulting theory is now a well-established topic. Nevertheless, only partial results were available for the multidimensional case, since the extension of the theory for 1D systems proved not to be straightforward, as usual. Actually, a non trivial regularity assumption and also restrictions on the set of allowed symmetries had to be imposed. In this paper we show how it is possible to overcome these difficulties using a particular canonical form for 2D discrete linear systems.
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