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Some Results on the Relationship Between Two-Dimensional Behaviors Decompositions and the Factor Skew-Primeness Property

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Abstract

In this paper, the possibility of obtaining certain decompositions with finite-dimensional intersection, for a given complete two-dimensional behavior, is investigated and related to the factor skew-primeness property of certain matrix pairs involved in the behavior description. The analysis carried on here leads to some preliminary results, which extend those about direct sum decompositions presented in [1].

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Bisiacco, M., Valcher, M.E. Some Results on the Relationship Between Two-Dimensional Behaviors Decompositions and the Factor Skew-Primeness Property. Multidimensional Systems and Signal Processing 13, 289–315 (2002). https://doi.org/10.1023/A:1015860413906

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