Boundary indefinite interpolation problem of Nevanlinna-Pick
type: Item
instance of: scholarly article
zbMATH Open document ID: 1249.47004
author: A. A. Amirshadyan
publication date: 2012-07-31T00:00:00Z
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 47A45
Mathematics Subject Classification ID: 46C20
Mathematics Subject Classification ID: 47B25
zbMATH DE Number: 6062177
zbMATH Keywords: Nevanlinna-Pick interpolation problem
MaRDI profile type: Publication
title: Boundary indefinite interpolation problem of Nevanlinna-Pick
published in: Trudy Instituta Prikladnoĭ Matematiki i Mekhaniki
review text: In the present paper, an operator model for the boundary indefinite interpolation problem of Nevanlinna-Pick is constructed. The author states the one-to-one correspondence between the set of solutions of the above problem and the set of corresponding minimal selfadjoint extensions of the model operator. In more detail, the present paper studies the boundary indefinite problem in the class of generalized Nevanlinna matrix functions. Some analogous problems were considered in earlier papers of the author. In the case of the non-degenerate matrix of Pick, the total description of all solutions of the interpolation problem is obtained.
reviewed by: Evgeny Sevost'yanov
description: scientific article; zbMATH DE number 6062177