Quaternionic Hardy spaces in the open unit ball and half space and Blaschke products

Daniel Alpay; Fabrizio Colombo; Irene Sabadini

doi:10.1088/1742-6596/597/1/012009

Quaternionic Hardy spaces in the open unit ball and half space and Blaschke products

Daniel Alpay, Fabrizio Colombo, Irene Sabadini

Department of Mathematics

Research output: Contribution to journal › Conference article › peer-review

6 Scopus citations

Abstract

The Hardy spaces H₂(B) and H₂(H₊), where B and H₊ denote, respectively, the open unit ball of the quaternions and the half space of quaternions with positive real part, as well as Blaschke products, have been intensively studied in a series of papers where they are used as a tool to prove other results in Schur analysis. This paper gives an overview on the topic, collecting the various results available.

Original language	English
Article number	012009
Journal	Journal of Physics: Conference Series
Volume	597
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/597/1/012009
State	Published - 13 Apr 2015
Event	30th International Colloquium on Group Theoretical Methods in Physics (Group30), ICGTMP 2014 - Ghent, Belgium Duration: 14 Jul 2014 → 18 Jul 2014

ASJC Scopus subject areas

Physics and Astronomy (all)

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10.1088/1742-6596/597/1/012009

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title = "Quaternionic Hardy spaces in the open unit ball and half space and Blaschke products",

abstract = "The Hardy spaces H2(B) and H2(H+), where B and H+ denote, respectively, the open unit ball of the quaternions and the half space of quaternions with positive real part, as well as Blaschke products, have been intensively studied in a series of papers where they are used as a tool to prove other results in Schur analysis. This paper gives an overview on the topic, collecting the various results available.",

author = "Daniel Alpay and Fabrizio Colombo and Irene Sabadini",

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PY - 2015/4/13

Y1 - 2015/4/13

N2 - The Hardy spaces H2(B) and H2(H+), where B and H+ denote, respectively, the open unit ball of the quaternions and the half space of quaternions with positive real part, as well as Blaschke products, have been intensively studied in a series of papers where they are used as a tool to prove other results in Schur analysis. This paper gives an overview on the topic, collecting the various results available.

AB - The Hardy spaces H2(B) and H2(H+), where B and H+ denote, respectively, the open unit ball of the quaternions and the half space of quaternions with positive real part, as well as Blaschke products, have been intensively studied in a series of papers where they are used as a tool to prove other results in Schur analysis. This paper gives an overview on the topic, collecting the various results available.

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DO - 10.1088/1742-6596/597/1/012009

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Quaternionic Hardy spaces in the open unit ball and half space and Blaschke products

Abstract

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