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Szegö–Radon Transform for Biaxially Monogenic Functions

  • Ren HuEmail author
  • Tim Raeymaekers
  • Franciscus Sommen
Article
  • 54 Downloads
Part of the following topical collections:
  1. T.C. FTHD 2018

Abstract

In this paper we introduce the Szegö–Radon transform for biaxially monogenic functions, which are calculated explicitly for the two types of biaxially monogenic functions. To simplify these results, we make use of the Funk–Hecke theorem to obtain Vekua systems in two real variables. Using the biaxial decomposition of inner spherical monogenics in biaxially symmetric domain, we obtain the biaxial decomposition of Szegö–Radon transform.

Keywords

Clifford analysis Szegö–Radon transform Biaxially monogenic functions Vekua system 

Mathematics Subject Classification

Primary 44A12 Secondary 30G35 

Notes

Acknowledgements

The first author is supported by China Scholarship Council (CSC).

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Clifford Research Group, Department of Mathematical Analysis, Faculty of Engineering and ArchitectureGhent UniversityGhentBelgium

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