Advertisement

Spherical and moment functions on the affine group of SU(n)

  • Ż Fechner
  • L. Székelyhidi
Article
  • 15 Downloads

Abstract

Moments of probability measures on a group can be obtained from so called (generalized) moment functions of a given order. Characterization theorems for moment function sequences on different types of groups and hypergroups have been obtained. We study spherical and moment functions on affine groups and describe spherical and moment functions on the affine group of the SU(n) group.

Key words and phrases

spherical function affine group moment function 

Mathematics Subject Classification

20N20 43A62 39B99 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Artzy R.: Linear Geometry. Addison-Wesley, Reading, Mass (1965)zbMATHGoogle Scholar
  2. 2.
    van Dijk G.: Introduction to Harmonic Analysis and Generalized Gelfand Pairs, de Gruyter Studies in Mathematics. Walter de Gruyter & Co, Berlin (2009)CrossRefGoogle Scholar
  3. 3.
    L. van Elfrinkhof, Eene eigenschap van de orthogonale substitutie van de vierde orde, in: Handelingen van het zesde Nederlandsch Natuuren Geneeskundig Congres (1897), 237–240.Google Scholar
  4. 4.
    Lyndon R.C.: Groups and Geometry, London Mathematical Society Lecture Note Series, 101. Cambridge University Press, Cambridge (1985)Google Scholar
  5. 5.
    Farmakis I., Moskowitz M.: A Graduate Course in Algebra. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ (2017)zbMATHGoogle Scholar
  6. 6.
    Perez-Garcia A., Thomas F.: On Cayley’s factorization of 4D rotations and applications. Adv. Appl. Clifford Algebr. 27, 523–538 (2017)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Székelyhidi L.: Spherical spectral synthesis. Acta Math. Hungar. 153, 120–142 (2017)MathSciNetCrossRefGoogle Scholar

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of Silesia in KatowiceKatowicePoland
  2. 2.Lodz University of TechnologyŁódźPoland
  3. 3.Institute of MathematicsUniversity of DebrecenDebrecenHungary

Personalised recommendations