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On Rank Invariance of Schwarz-Pick-Potapov Block Matrices of Matricial Schur Functions

✍ Scribed by Bernd Fritzsche; Bernd Kirstein; Andreas Lasarow

Book ID
105760064
Publisher
SP Birkhäuser Verlag Basel
Year
2004
Tongue
English
Weight
348 KB
Volume
48
Category
Article
ISSN
0378-620X

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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

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## Abstract Within the framework of the multiple Nevanlinna–Pick matrix interpolation and its related matrix moment problem, we study the rank of block moment matrices of various kinds, generalized block Pick matrices and generalized block Loewner matrices, as well as their Potapov modifications, g