Victor Katsnelson
The Ruth and Silvia Shogam Professor
My field is the analysis of functions
whose values are matrices, rather than say numbers. Such functions arise in
many applications, especially signal processing and electrical engineering.
They are fundamental in the so-called spectral analysis, namely the analysis
of measured outcomes of a given signal. I am working on approximation and interpolation
problems associated with sampling such signals, and the possibility of embedding
the function that gives rise to a given sample in a manageable space. I am working
also on the analytic theory of differential equations.
Recent Publications
- Right and left joint system representation of a rational matrix function-in general position. In: Operator Theory, Adv. Appl. 123, Birkhauser, Basel, 2001, pp. 337-400.
- A generic Schur function is an inner one. In: Operator Theory, Adv. Appl. 134, Birkhauser, Basel, 2002, pp. 244-286.
- [with V. Gurarii, V. Matsaev and J. Steiner] The Stokes structure in asymptotic analysis. Mat. Fiz. Anal. Geom. 9 (2) (2002) 117-127.