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

Daniel Alpay, Fabrizio Colombo, Irene Sabadini

Research output: Contribution to journalConference articlepeer-review

5 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 languageEnglish
Article number012009
JournalJournal of Physics: Conference Series
Volume597
Issue number1
DOIs
StatePublished - 13 Apr 2015
Event30th International Colloquium on Group Theoretical Methods in Physics (Group30), ICGTMP 2014 - Ghent, Belgium
Duration: 14 Jul 201418 Jul 2014

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