Advances in Hypercomplex Analysis

1. Front Matter

   Pages I-VII

   PDF

2. Regular vs. Classical Möbius Transformations of the Quaternionic Unit Ball

   • Cinzia Bisi, Caterina Stoppato

   Pages 1-13

3. Distributional Boundary Values of Harmonic Potentials in Euclidean Half-Space as Fundamental Solutions of Convolution Operators in Clifford Analysis

   • Fred Brackx, Hendrik De Bie, Hennie De Schepper

   Pages 15-37

4. On Two Approaches to the Bergman Theory for Slice Regular Functions

   • Fabrizio Colombo, J. Oscar González-Cervantes, Maria Elena Luna-Elizarrarás, Irene Sabadini, Michael Shapiro

   Pages 39-54

5. A Bloch-Landau Theorem for Slice Regular Functions

   • Chiara Della Rocchetta, Graziano Gentili, Giulia Sarfatti

   Pages 55-74

6. Dirichlet-Type Problems for the Iterated Dirac Operator on the Unit Ball in Clifford Analysis

   • Min Ku, Uwe Kähler, Paula Cerejeiras

   Pages 75-92

7. Fueter Regularity and Slice Regularity: Meeting Points for Two Function Theories

   • Alessandro Perotti

   Pages 93-117

8. A Note on Analytic Functionals on the Complex Light Cone

   • Daniele C. Struppa

   Pages 119-124

9. The S-spectrum for Some Classes of Matrices

   • Mihaela B. Vajiac

   Pages 125-139

10. Regular Composition for Slice-Regular Functions of Quaternionic Variable

    • Fabio Vlacci

    Pages 141-147

This volume is intended to collect important research results to the lectures and discussions which took Place in Rome, at the INdAM Workshop on Different Notions of Regularity for Functions of Quaternionic Variables in September 2010. This volume will collect recent and new results, which are connected to the topic covered during the workshop. The work aims at bringing together international leading specialists in the field of Quaternionic and Clifford Analysis, as well as young researchers interested in the subject, with the idea of presenting and discussing recent results, analyzing new trends and techniques in the area and, in general, of promoting scientific collaboration. Particular attention is paid to the presentation of different notions of regularity for functions of hypercomplex variables, and to the study of the main features of the theories that they originate.

• Functions of hypercomplex variables
• Geometry
• Hypercomplex Analysis

• Department of Mathematics "U.Dini", University of Florence, Firenze, Italy

  Graziano Gentili

• Department of Mathematics, Politecnico di Milano, Milano, Italy

  Irene Sabadini

• Department of Mathematics, Instituto Politécnico Nacional, Escuela Sup. de Física y Matemáticas, Mexico D.F., Mexico

  Michael Shapiro

• Fac. Engineering, Dept. Mathematical Analysis, University of Gent, Gent, Belgium

  Franciscus Sommen

• Schmid College of Science and Technology, Chapman University, Orange, USA

  Daniele C. Struppa

Policies and ethics