Currently I am working in the following fields:
- Theory of reproducing kernel Hilbert (Krein) spaces
- Kernel methods
- Automatic learning, pattern recognition
- Model and dilation theory
- Invariant subspaces
- Multivariable spectral theory
- Theory of operator spaces
Manuscripts:
- Beurling-type representation of invariant subspaces in reproducing kernel Hilbert spaces (Doctoral thesis)
- Laufzeiten von Syzygienberechnungen (Bachelor thesis in Computer Science)
- Positivitätsbedingungen funktionaler Hilberträume und Anwendungen in der mehrdimensionalen Operatorentheorie
(Diploma thesis)
Publications / Preprints:
- Beurling-type representation of invariant subspaces in reproducing kernel Hilbert spaces
(Integral Equations and Operator Theory, volume 61, number 3)
- A characterization of multiplication operators on reproducing kernel Hilbert spaces
(Journal of Operator Theory, to appear; Preprint)
- Approximation properties for mulitplier algebras of reproducing kernel Hilbert spaces
(Acta Sci. Math. (Szeged) 75:3-4(2009), 655-663)
Conference Talks:
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