### Optimization and Systems Theory Seminar

Friday, November 21, 1997, 11.00-12.00, Room 3721, Lindstedtsvägen 25

**Dr.
Andrea Gombani**

LADSEB-CNR

Padova, Italy

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On a Hardy space approach to the analysis of spectral factors

The paper presents a study of several problems related to spectral
factorizations. We assume only a very weak form of coercivity for the
spectral function and look at the set of all rectangular spectral
factors Wm of given size m. The main object is the arithmetization of
the geometry of these sets of minimal, stable spectral factors of
given size by employing Hardy space techniques and the arithmetic of
inner functions. Particular attention is paid to the study of various
partial orders associated with the sets of spectral factors.

Calendar of seminars

*Last update: November 14, 1997 by
Anders Forsgren,
andersf@math.kth.se.
*