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Lookup NU author(s): Dr Huang Huang,
Professor Stefania Marcantognini,
Professor Nicholas Young
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The problem of the title is to construct an analytic k × k matrix-valued function in the unit disc with a number of prescribed derivatives at 0 and with spectral radius bounded by 1. We show that the problem can be reduced to an interpolation problem for the symmetrized polydisc script G signk, and thereby show that, in the case of derivatives of orders 0 and 1 being prescribed, the problem is equivalent to the infinitesimal Kobayashi extremal problem for script G signk, which is solved completely in the case k = 2. © 2006 Birkhäuser Verlag, Basel.
Author(s): Huang H-N, Marcantognini SAM, Young NJ
Publication type: Article
Publication status: Published
Journal: Integral Equations and Operator Theory
ISSN (print): 0378-620X
ISSN (electronic): 1420-8989
Publisher: Birkhaeuser Verlag AG
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