Roomy Scattering Matrix Synthesis
[Technical Report, Technical Report]
CALIFORNIA UNIV BERKELEY
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The synthesis of a scattering matrix is a problem both of dynamical system theory and of operator theory. Properties relevant for synthesis are investigated based on dynamical principles as concatenation and Nerode equivalence. Then, use of operator theory in the sense of Helson and Lowdenslager is made to achieve complete decomposition of the scattering system into simple subsystems for a major class of scattering matrices, which are called roomy. Hence, roomy scattering matrices prove to be completely decomposable non-normal contractive operators.
- Theoretical Mathematics