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Open AccessArticle

Quaternionic Blaschke Group

by Margit Pap 1,* and Ferenc Schipp 2
1
Faculty of Sciences, University of Pécs, Ifjúság út 6, 7634 Pécs, Hungary
2
Faculty of Informatics, Loránd University, Pázmány Péter sétány 1/C, 1117 Budapest, Hungary
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(1), 33; https://doi.org/10.3390/math7010033
Received: 28 November 2018 / Revised: 27 December 2018 / Accepted: 28 December 2018 / Published: 31 December 2018
(This article belongs to the Special Issue Harmonic Analysis)
In the complex case, the Blaschke group was introduced and studied. It turned out that in the complex case this group plays important role in the construction of analytic wavelets and multiresolution analysis in different analytic function spaces. The extension of the wavelet theory to quaternion variable function spaces would be very beneficial in the solution of many problems in physics. A first step in this direction is to give the quaternionic analogue of the Blaschke group. In this paper we introduce the quaternionic Blaschke group and we study the properties of this group and its subgroups. View Full-Text
Keywords: quaternions; Blaschke functions; Blascke group quaternions; Blaschke functions; Blascke group
MDPI and ACS Style

Pap, M.; Schipp, F. Quaternionic Blaschke Group. Mathematics 2019, 7, 33.

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