Angential interpolation with symmetries and two-point interpolation problem for matrix-valued H2-functions

Daniel Alpay; Vladimir Bolotnikov; Leiba Rodman

doi:10.1007/BF01193505

Angential interpolation with symmetries and two-point interpolation problem for matrix-valued H₂-functions

Daniel Alpay
, Vladimir Bolotnikov
, Leiba Rodman

Department of Mathematics

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

8 Scopus citations

Abstract

We describe all solutions of the two-sided tangential interpolation problem in the class of matrix-valued Hardy functions when symmetries are added: these symmetries are defined in terms of involutions of H₂. The obtained results are applied to a one-sided two-points tangential interpolation for matrix functions.

Original language	English
Pages (from-to)	1-28
Number of pages	28
Journal	Integral Equations and Operator Theory
Volume	32
Issue number	1
DOIs	https://doi.org/10.1007/BF01193505
State	Published - 1 Jan 1998

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

Access to Document

10.1007/BF01193505

Cite this

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title = "Angential interpolation with symmetries and two-point interpolation problem for matrix-valued H2-functions",

abstract = "We describe all solutions of the two-sided tangential interpolation problem in the class of matrix-valued Hardy functions when symmetries are added: these symmetries are defined in terms of involutions of H2. The obtained results are applied to a one-sided two-points tangential interpolation for matrix functions.",

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N2 - We describe all solutions of the two-sided tangential interpolation problem in the class of matrix-valued Hardy functions when symmetries are added: these symmetries are defined in terms of involutions of H2. The obtained results are applied to a one-sided two-points tangential interpolation for matrix functions.

AB - We describe all solutions of the two-sided tangential interpolation problem in the class of matrix-valued Hardy functions when symmetries are added: these symmetries are defined in terms of involutions of H2. The obtained results are applied to a one-sided two-points tangential interpolation for matrix functions.

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