Quaternionic Hardy spaces in the open unit ball and half space and Blaschke products. (March 2015)

• Record Type: Journal Article
• Authors: Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene
• Is Part Of: Journal of physics. Number 597 (2015)
• Publication Date: 2015-03
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/597/1/012009
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: The Hardy spaces H 2 (B) and H 2 (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.