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2.1. Operator Theory and Applications

Programme leaders: M.A. Kaashoek, S.M. Verduyn Lunel

This project deals with operator theory problems arising from concrete classes of integral and differential equations. Both linear and non-linear equations are studied, and the problems may have a finite dimensional or infinite dimensional character. Typical for the project is a strong interaction with complex function theory; operators are studied in terms of analytic functions (symbols, characteristic matrices, determinant functions). The study of non-stationary versions of normed constrained interpolation problems of Nevanlinna-Pick and Sarason type, the development of a qualitative theory of infinite dimensional dynamical systems, the analysis of the asymptotic behaviour of deterministic and non-deterministic systems, and the study of imaginary powers of unbounded operators are some of the main themes.

Fri Mar 20 16:01:06 MET 1998