Classical Nevanlinna-Pick Interpolation with Real Interpolation Points View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2000

AUTHORS

Daniel Alpay , Aad Dijksma , Heinz Langer

ABSTRACT

We consider a scalar Nevanlinna-Pick interpolation problem with at most countably many interpolation points which lie in ℂ+ ∪ ℝ. Questions about the existence and uniqueness of the solutions are considered. In the case of nonuniqueness a description of all solutions is given which generalizes Potapov’s formula. Our results are obtained in two ways: in Sections 1–5 through the theory of selfadjoint extensions of a symmetric relation in a Hilbert space, including Krein’s formula and the socalled u-resolvent matrix, and in Sections 6 and 7 via the theory of reproducing kernel Hilbert spaces. More... »

PAGES

1-50

Book

TITLE

Operator Theory and Interpolation

ISBN

978-3-0348-9560-6
978-3-0348-8422-8

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-0348-8422-8_1

DOI

http://dx.doi.org/10.1007/978-3-0348-8422-8_1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1027404163


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