On Boundary Interpolation for Matrix Valued Schur Functions - Couverture souple

Bolotnikov, Vladimir; Dym, Harry

Couverture souple

ISBN 10 : 0821840479 ISBN 13 : 9780821840474

Editeur : American Mathematical Society, 2006

Synopsis

A number of interpolation problems are considered in the Schur class of $p\times q$ matrix valued functions $S$ that are analytic and contractive in the open unit disk. The interpolation constraints are specified in terms of nontangential limits and angular derivatives at one or more (of a finite number of) boundary points. Necessary and sufficient conditions for existence of solutions to these problems and a description of all the solutions when these conditions are met is given. The analysis makes extensive use of a class of reproducing kernel Hilbert spaces ${\mathcal{H}}(S)$ that was introduced by de Branges and Rovnyak. The Stein equation that is associated with the interpolation problems under consideration is analyzed in detail. A lossless inverse scattering problem is also considered.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2006
• Langue: anglais
• ISBN 10: 0821840479
• ISBN 13: 9780821840474
• Reliure: Broché
• Nombre de pages: 107
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible