Resolution Space, Networks, and Non-Self-Adjoint Spectral Theory.
TEXAS TECH UNIV LUBBOCK DEPT OF ELECTRICAL ENGINEERING
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The results of a five year study directed at the formulation of mathematical foundations for a theory of linear systems defined in Hilbert space are summarized. Since the classical Hilbert space structure does not include a time concept, the theory has been formulated in a resolution space setting, a Hilbert space, to which a time concept has been axiomatically adjoined. The work has included a study of the underlying mathematics of resolution space, applications to stability theory, optimal stochastic systems design, and multidimensional systems. Author
- Theoretical Mathematics