Baer's extension problem for multidimensional linear systems
Proceedings of MTNS 2008, Virginia Tech, Blacksburg, Virginia (USA)
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Abstract:
Within an algebraic analysis approach, the purpose of this paper is to
constructively solve the following problem:
given two fixed multidimensional linear systems B1 and B2,
parametrize the multidimensional linear systems B which contain B1 as a
subsystem and satisfy that B / B1 is isomorphic to B2.
In particular, we parametrize the equivalence classes
of multidimensional linear systems B which admit a fixed parametrizable
subsystem Bp and satisfy that B / Bp is isomorphic to a fixed autonomous
system Ba.