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math.FA2020
Realizations of non-commutative rational functions around a matrix centre, II: The lost-abbey conditions
Motke Porat, Victor Vinnikov
In a previous paper the authors generalized classical results of minimal realizations of non-commutative (nc) rational functions, using nc Fornasini--Marchesini realizations which…
math.FA2019★ 6 cited
Realizations of non-commutative rational functions around a matrix centre, I: synthesis, minimal realizations and evaluation on stably finite algebras
Motke Porat, Victor Vinnikov
In this paper we generalize classical results regarding minimal realizations of non-commutative (nc) rational functions using nc Fornasini-Marchesini realizations which are centred…
math.FA2018★ 8 cited
Generalized Fock spaces and the Stirling numbers
Daniel Alpay, Motke Porat
The Bargmann-Fock-Segal space plays an important role in mathematical physics, and has been extended into a number of directions. In the present paper we imbed this space into a Ge…