IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2018i1p33-d194155.html
   My bibliography  Save this article

Quaternionic Blaschke Group

Author

Listed:
  • Margit Pap

    (Faculty of Sciences, University of Pécs, Ifjúság út 6, 7634 Pécs, Hungary)

  • Ferenc Schipp

    (Faculty of Informatics, Loránd University, Pázmány Péter sétány 1/C, 1117 Budapest, Hungary)

Abstract

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.

Suggested Citation

  • Margit Pap & Ferenc Schipp, 2018. "Quaternionic Blaschke Group," Mathematics, MDPI, vol. 7(1), pages 1-12, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2018:i:1:p:33-:d:194155
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/1/33/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/1/33/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2018:i:1:p:33-:d:194155. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.