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Linear dynamical systems with partial derivatives

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Abstract

Systems with multidimensional time over Lie-algebras are considered. It is proved that a transfer function determines a minimal system up to similarity.

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References

  1. Bart, U., Gohberg, I., Kaashoek, M.: Minimal factorization of matrix and operator functions, Operator Theory: Advances and Applications (1981).

  2. Livšic, M. and Jantsevich, A.: Operator colligations in Hilbert spaces (1971), Kharkov Univ. U. S. S. R., English transl. J. Wiley, New York, 1979.

    Google Scholar 

  3. Gauchman, H.: On not self-adjoint representations of Lie-algebras, Integral Equations and Operator Theory (to appear).

  4. Kravitsky, N.: Regular colligations for several operators in Banach space, Integral Equations and Operator Theory (to appear).

  5. Waxman, L.: On characteristic operator-functions of Lie-algebras (in Russian), Kharkovskogo Univ., U. S. S. R. Kharkov 1972, No. 83, pp. 41–45, English trans. Integral Equations and Operator Theory (to appear).

    Google Scholar 

  6. I. C. Gohberg and Krein, M. G.: Theory and Applications of Volterra operators in Hilbert space (Translations of Math. Monographs, Vol. 24), American Math. Society, 1970, p. 15.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, Israel

    Sonia Levin

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  1. Sonia Levin
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Levin, S. Linear dynamical systems with partial derivatives. Integr equ oper theory 7, 118–137 (1984). https://doi.org/10.1007/BF01204916

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  • DOI: https://doi.org/10.1007/BF01204916

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