Book: Sabadini et al – Advances in Hypercomplex Analysis


Advances in Hypercomplex Analysis
Gentili, G.; Sabadini, I.; Shapiro, M.; Sommen, F.; Struppa, D.C. (Eds.), 2012, VII, 147 p, Series: Springer INdAM Series, Ebook: ISBN 978-88-470-2445-8, 71.39 Euros; Hardcover: ISBN 978-88-470-2444-1, 84.95 Euros.

  • New trends in mathematics
  • Applied mathematics
  • International leading specialists

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.

Keywords » Functions of hypercomplex variables – Geometry – Hypercomplex Analysis

Contents

Regular vs. Classical Möbius Transformations of the Quaternionic Unit Ball . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Cinzia Bisi and Caterina Stoppato
Distributional Boundary Values of Harmonic Potentials in Euclidean Half-Space as Fundamental Solutions of Convolution Operators in Clifford Analysis . . . . . 15
Fred Brackx, Hendrik De Bie, and Hennie De Schepper
On Two Approaches to the Bergman Theory for Slice Regular Functions 39
Fabrizio Colombo, J. Oscar González-Cervantes, Maria Elena Luna-Elizarrarás, Irene Sabadini, and Michael Shapiro
A Bloch-Landau Theorem for Slice Regular Functions . . . . . . . . . . . 55
Chiara Della Rocchetta, Graziano Gentili, and Giulia Sarfatti
Dirichlet-Type Problems for the Iterated Dirac Operator on the Unit Ball in Clifford Analysis . . . . . . . . . . . . . . . . . . . . . . . . . 75
Min Ku, Uwe Kähler, and Paula Cerejeiras
Fueter Regularity and Slice Regularity: Meeting Points for Two Function Theories . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93
Alessandro Perotti
A Note on Analytic Functionals on the Complex Light Cone . . . . . . . . 119
Daniele C. Struppa
The S-spectrum for Some Classes of Matrices . . . . . . . . . . . . . . . . 125
Mihaela B. Vajiac
Regular Composition for Slice-Regular Functions of Quaternionic Variable . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141
Fabio Vlacci

Source: http://www.springer.com/mathematics/book/978-88-470-2444-1

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