Quaternionic Blaschke Group
Faculty of Sciences, University of Pécs, Ifjúság út 6, 7634 Pécs, Hungary
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
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Pap, M.; Schipp, F. Quaternionic Blaschke Group. Mathematics 2019, 7, 33.
AMA StyleShow more citation formats Show less citations formats
Pap M, Schipp F. Quaternionic Blaschke Group. Mathematics. 2019; 7(1):33.Chicago/Turabian Style
Pap, Margit; Schipp, Ferenc. 2019. "Quaternionic Blaschke Group." Mathematics 7, no. 1: 33.
Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.