0308127 - MÚ 2008 RIV US eng J - Journal Article
Ambrozie, Calin-Grigore
Functional Commutant Lifting and Interpolation on Generalized Analytic Polyhedra.
[Komutant lifting a interpolace v zobecněných analytických mnohostěnech.]
Houston Journal of Mathematics. Roč. 34, č. 2 (2008), s. 519-543. ISSN 0362-1588
R&D Projects: GA ČR(CZ) GA201/06/0128
Institutional research plan: CEZ:AV0Z10190503
Keywords : intertwining lifting * interpolation * analytic functions
Subject RIV: BA - General Mathematics
Impact factor: 0.327, year: 2008

We show that for every generalized analytic polyhedron D .. Cⁿ there exists a suitable functional Hilbert space over D, allowing to apply the commutant lifting technique to various interpolation problems of Carathéodory-Féjér type. The existence of those solutions that belong to the Schur class of fractional transforms ( .. in the closed unit ball of H^INFIN(D)) is thus characterized in terms of positivity conditions. Also, we show on a concrete example how to obtain such solutions.

Je ukázáno, že pro každý analytický mnohostěn existuje vhodný Hilbertův prostor, který umožňuje použít techniku liftingu komutantu na různé interpolační problémy Carathéodory-Féjérova typu.
Permanent Link: http://hdl.handle.net/11104/0160699