Advances in Hypercomplex Analysis

✍ Scribed by Cinzia Bisi, Caterina Stoppato (auth.), Graziano Gentili, Irene Sabadini, Michael Shapiro, Franciscus Sommen, Daniele C. Struppa (eds.)

• Publisher: Springer-Verlag Mailand
• Year: 2013
• Tongue: English
• Leaves: 156
• Series: Springer INdAM Series 1
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-VII
Regular vs. Classical Möbius Transformations of the Quaternionic Unit Ball....Pages 1-13
Distributional Boundary Values of Harmonic Potentials in Euclidean Half-Space as Fundamental Solutions of Convolution Operators in Clifford Analysis....Pages 15-37
On Two Approaches to the Bergman Theory for Slice Regular Functions....Pages 39-54
A Bloch-Landau Theorem for Slice Regular Functions....Pages 55-74
Dirichlet-Type Problems for the Iterated Dirac Operator on the Unit Ball in Clifford Analysis....Pages 75-92
Fueter Regularity and Slice Regularity: Meeting Points for Two Function Theories....Pages 93-117
A Note on Analytic Functionals on the Complex Light Cone....Pages 119-124
The S -spectrum for Some Classes of Matrices....Pages 125-139
Regular Composition for Slice-Regular Functions of Quaternionic Variable....Pages 141-147

✦ Subjects

Mathematics, general; Analysis