Nevanlinna-Pick interpolation on the bidisk

Jim Agler; John E. McCarthy

doi:10.1515/crll.1999.004

Nevanlinna-Pick interpolation on the bidisk

Jim Agler
, John E. McCarthy

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

80 Scopus citations

Abstract

We solve the matrix-valued Nevanlinna-Pick problem in the space of bounded analytic functions on the bidisk, and give a description of all the interpolating functions. We also prove the Toeplitz-corona theorem on the bidisk.

Original language	English
Pages (from-to)	191-204
Number of pages	14
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	506
DOIs	https://doi.org/10.1515/crll.1999.004
State	Published - 1999

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title = "Nevanlinna-Pick interpolation on the bidisk",

abstract = "We solve the matrix-valued Nevanlinna-Pick problem in the space of bounded analytic functions on the bidisk, and give a description of all the interpolating functions. We also prove the Toeplitz-corona theorem on the bidisk.",

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year = "1999",

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AU - McCarthy, John E.

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AB - We solve the matrix-valued Nevanlinna-Pick problem in the space of bounded analytic functions on the bidisk, and give a description of all the interpolating functions. We also prove the Toeplitz-corona theorem on the bidisk.

UR - https://www.scopus.com/pages/publications/0033479816

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DO - 10.1515/crll.1999.004

M3 - Article

AN - SCOPUS:0033479816

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VL - 506

SP - 191

EP - 204

JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

ER -

Nevanlinna-Pick interpolation on the bidisk

Abstract

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