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\(n\)D polynomial matrices with applications to multidimensional signal analysis. (English) Zbl 0882.93038
Different primeness definitions and factorization properties related to nD Laurent polynomial matrices, are investigated and applied to a detailed analysis of nD finite support signal families produced by linear systems. Behavioral properties like detectability and extendability are discussed in this context, too.

MSC:
93C35 Multivariable systems, multidimensional control systems
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
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