Spectral Decomposition and Extended Formulation of Unstable Dynamical Systems

Author:

Antoniou Ioannis,Suchanecki Zdzislaw

Publisher

Springer Berlin Heidelberg

Reference89 articles.

1. Antoine J.-P., Epifanio G., and Trapani C. (1983): Complete sets of unbounded observables. Helv. Phys. Acta 56, 1175–1186.

2. Antoine J.-P. and Karwowski J. (1985): Partial *-algebras of closed linear operators in Hilbert space. Publ. R.I.M.S. Kyoto Univ. 21, 205–236.

3. Antoniou I., Dimitrieva L., Kuperin Yu., and Melnikov Yu. (1996a): Resonances and the extension of dynamics to rigged Hilbert spaces. Computers and Mathematics with Applications. In press.

4. Antoniou I. and Prigogine I. (1993): Intrinsic irreversibility and integrability of dynamics. Physica A 192, 443–464.

5. Antoniou I., Qiao B., and Suchanecki Z. (1996b): Generalized spectral decomposition and intrinsic irreversibility of the Arnold cat map. Chaos, Solitons and Fractals. In press.

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1. New extended spectral decompositions of the Renyi map;Physics Letters A;1999-07

2. Time operators and shift representation of dynamical systems;Physica A: Statistical Mechanics and its Applications;1999-07

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