© 2016

Modern Trends in Hypercomplex Analysis

  • Swanhild Bernstein
  • Uwe Kähler
  • Irene Sabadini
  • Franciscus Sommen
  • Presents recent developments in all directions of hypercomplex analysis

  • Shares new perspectives and current trends for researchers interested in/or related to the topic

  • Features an exposition of applications (image analysis, mathematical physics and mechanics, etc.) for persons working in these areas as well as easily accessible for non-specialists

Conference proceedings

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Laurent Baratchart, Wei-Xiong Mai, Tao Qian
    Pages 19-33
  3. Sultan Catto, Alexander Kheyfits, David Tepper
    Pages 35-46
  4. Paula Cerejeiras, Qiuhui Chen, Narciso Gomes, Stefan Hartmann
    Pages 47-77
  5. Paula Cerejeiras, Uwe Kähler, Franciscus Sommen, Adrian Vajiac
    Pages 79-110
  6. Fabrizio Colombo, David P. Kimsey
    Pages 111-142
  7. Sirkka-Liisa Eriksson, Heikki Orelma
    Pages 175-189
  8. Klaus Gürlebeck, Dmitrii Legatiuk
    Pages 217-226
  9. Guangbin Ren, Xieping Wang, Zhenghua Xu
    Pages 227-245
  10. Irene Sabadini, Franciscus Sommen
    Pages 247-263
  11. Franciscus Sommen
    Pages 265-310

About these proceedings


This book contains a selection of papers presented at the session "Quaternionic and Clifford Analysis" at the 10th ISAAC Congress held in Macau in August 2015. The covered topics represent the state-of-the-art as well as new trends in hypercomplex analysis and its applications.


continuous and discrete Clifford analysis quaternionic analysis image processing representation theory operator theory partial differential equations

Editors and affiliations

  • Swanhild Bernstein
    • 1
  • Uwe Kähler
    • 2
  • Irene Sabadini
    • 3
  • Franciscus Sommen
    • 4
  1. 1.Institute of Applied AnalysisTU Bergakademie FreibergFreibergGermany
  2. 2.Departamento de MatemáticaUniversidade de AveiroAveiroPortugal
  3. 3.Dip. di MatematicaPolitecnico di MilanoMilanoItaly
  4. 4.Department of Mathematical AnalysisGhent UniversityGentBelgium

Bibliographic information