Interpolation and the Hardy space on the homogeneous dyadic tree: The stationary case

Daniel Alpay; Dan Volok

doi:10.1016/S1631-073X(03)00042-6

Interpolation and the Hardy space on the homogeneous dyadic tree: The stationary case

Daniel Alpay
, Dan Volok

Department of Mathematics

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

3 Scopus citations

Abstract

We define a function theory and a Hardy space on the dyadic tree, which extend in a natural way the notion of analytic functions, Cauchy's formula and the case of the Hardy space of the open unit disk. We define Blaschke factors in this setting and prove an homogeneous interpolation theorem in this setting.

Original language	English
Pages (from-to)	293-298
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	336
Issue number	4
DOIs	https://doi.org/10.1016/S1631-073X(03)00042-6
State	Published - 15 Feb 2003

ASJC Scopus subject areas

General Mathematics

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10.1016/S1631-073X(03)00042-6

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title = "Interpolation and the Hardy space on the homogeneous dyadic tree: The stationary case",

abstract = "We define a function theory and a Hardy space on the dyadic tree, which extend in a natural way the notion of analytic functions, Cauchy's formula and the case of the Hardy space of the open unit disk. We define Blaschke factors in this setting and prove an homogeneous interpolation theorem in this setting.",

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T1 - Interpolation and the Hardy space on the homogeneous dyadic tree

T2 - The stationary case

AU - Alpay, Daniel

AU - Volok, Dan

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N2 - We define a function theory and a Hardy space on the dyadic tree, which extend in a natural way the notion of analytic functions, Cauchy's formula and the case of the Hardy space of the open unit disk. We define Blaschke factors in this setting and prove an homogeneous interpolation theorem in this setting.

AB - We define a function theory and a Hardy space on the dyadic tree, which extend in a natural way the notion of analytic functions, Cauchy's formula and the case of the Hardy space of the open unit disk. We define Blaschke factors in this setting and prove an homogeneous interpolation theorem in this setting.

UR - https://www.scopus.com/pages/publications/0037768612

U2 - 10.1016/S1631-073X(03)00042-6

DO - 10.1016/S1631-073X(03)00042-6

M3 - Article

AN - SCOPUS:0037768612

SN - 1631-073X

VL - 336

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EP - 298

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 4

ER -

Interpolation and the Hardy space on the homogeneous dyadic tree: The stationary case

Abstract

ASJC Scopus subject areas

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