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When are linear differentiation-invariant spaces differential? (English) Zbl 1136.93002

Summary: It is shown that a linear differentiation-invariant subspace of a \(C^{\infty }\)-trajectory space is differential (i.e., can be represented as the kernel of a linear constant-coefficient differential operator) if and only if its McMillan degree is finite.

MSC:

93A30 Mathematical modelling of systems (MSC2010)
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