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Pairs of functions with indefinite Pick matrices

✍ Scribed by V Bolotnikov; A Kheifets; L Rodman

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
179 KB
Volume
367
Category
Article
ISSN
0024-3795

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✦ Synopsis

Results of factorization type are proved that characterize pairs of functions whose Pick matrices have not more than a prescribed number of negative eigenvalues. These results are in turn used to describe functions having Carathéodory matrices with bounded number of negative eigenvalues.

📜 SIMILAR VOLUMES

On rank invariance of generalized Schwar
On rank invariance of generalized Schwarz–Pick–Potapov block matrices of matrix-valued Carathéodory functions
✍ Andreas Lasarow 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 261 KB

In view of a multiple Nevanlinna-Pick interpolation problem, we study the rank of generalized Schwarz-Pick-Potapov block matrices of matrix-valued Carathéodory functions. Those matrices are determined by the values of a Carathéodory function and the values of its derivatives up to a certain order. W