Boundary interpolation and rigidity for generalized Nevanlinna functions

Daniel Alpay; Aad Dijksma; Heinz Langer; Simeon Reich; David Shoikhet

doi:10.1002/mana.200910135

Boundary interpolation and rigidity for generalized Nevanlinna functions

Daniel Alpay
, Aad Dijksma
, Heinz Langer
, Simeon Reich
, David Shoikhet

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We solve a boundary interpolation problem at a real point for generalized Nevanlinna functions, and use the result to prove uniqueness theorems for generalized Nevanlinna functions.

Original language	English
Pages (from-to)	335-364
Number of pages	30
Journal	Mathematische Nachrichten
Volume	283
Issue number	3
DOIs	https://doi.org/10.1002/mana.200910135
State	Published - 1 Mar 2010

Keywords

Boundary interpolation
Generalized nevanlinna function
Hankel matrix
Indefinite inner product
Rational J-unitary matrix function
Reproducing kernel

ASJC Scopus subject areas

General Mathematics

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10.1002/mana.200910135

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title = "Boundary interpolation and rigidity for generalized Nevanlinna functions",

abstract = "We solve a boundary interpolation problem at a real point for generalized Nevanlinna functions, and use the result to prove uniqueness theorems for generalized Nevanlinna functions.",

keywords = "Boundary interpolation, Generalized nevanlinna function, Hankel matrix, Indefinite inner product, Rational J-unitary matrix function, Reproducing kernel",

author = "Daniel Alpay and Aad Dijksma and Heinz Langer and Simeon Reich and David Shoikhet",

year = "2010",

month = mar,

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doi = "10.1002/mana.200910135",

language = "English",

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journal = "Mathematische Nachrichten",

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TY - JOUR

T1 - Boundary interpolation and rigidity for generalized Nevanlinna functions

AU - Alpay, Daniel

AU - Dijksma, Aad

AU - Langer, Heinz

AU - Reich, Simeon

AU - Shoikhet, David

PY - 2010/3/1

Y1 - 2010/3/1

N2 - We solve a boundary interpolation problem at a real point for generalized Nevanlinna functions, and use the result to prove uniqueness theorems for generalized Nevanlinna functions.

AB - We solve a boundary interpolation problem at a real point for generalized Nevanlinna functions, and use the result to prove uniqueness theorems for generalized Nevanlinna functions.

KW - Boundary interpolation

KW - Generalized nevanlinna function

KW - Hankel matrix

KW - Indefinite inner product

KW - Rational J-unitary matrix function

KW - Reproducing kernel

UR - https://www.scopus.com/pages/publications/77952526024

U2 - 10.1002/mana.200910135

DO - 10.1002/mana.200910135

M3 - Article

AN - SCOPUS:77952526024

SN - 0025-584X

VL - 283

SP - 335

EP - 364

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 3

ER -

Boundary interpolation and rigidity for generalized Nevanlinna functions

Abstract

Keywords

ASJC Scopus subject areas

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