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
Modern Trends in Hypercomplex Analysis
✍ Scribed by Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Franciscus Sommen (eds.)
- Publisher
- Birkhäuser Basel
- Year
- 2016
- Tongue
- English
- Leaves
- 310
- Series
- Trends in Mathematics
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
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.
✦ Table of Contents
Front Matter....Pages i-vii
Cauchy–Pompeiu Formula for Multi-meta-weighted-monogenic Functions of first class....Pages 1-17
Greedy Algorithms and Rational Approximation in One and Several Variables....Pages 19-33
A. Kolmogorov and M. Riesz Theorems for Octonion-valued Monogenic Functions....Pages 35-46
Compressed Sensing with Nonlinear Fourier Atoms....Pages 47-77
Script Geometry....Pages 79-110
A Panorama on Quaternionic Spectral Theory and Related Functional Calculi....Pages 111-142
Models for Some Irreducible Representations of (\mathfrak{so}(m, \mathbb{C})) in Discrete Clifford Analysis....Pages 143-159
Gegenbauer Type Polynomial Solutions for the Higher Spin Laplace Operator....Pages 161-174
A New Cauchy Type Integral Formula for Quaternionic k-hypermonogenic Functions....Pages 175-189
Eigenfunctions and Fundamental Solutions of the Caputo Fractional Laplace and Dirac Operators....Pages 191-202
Three-dimensional Analogue of Kolosov–Muskhelishvili Formulae....Pages 203-215
On Some Properties of Pseudo-complex Polynomials....Pages 217-226
Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras....Pages 227-245
Differential Forms and Clifford Analysis....Pages 247-263
Examples of Morphological Calculus....Pages 265-310
✦ Subjects
Functions of a Complex Variable;Topological Groups, Lie Groups;Several Complex Variables and Analytic Spaces
📜 SIMILAR VOLUMES
This book contains selected papers from the ISAAC conference 2007 and invited contributions. The topics covered represent the main streams of research in hypercomplex analysis as well as "state of the art" expository articles. The book will be of interest to researchers and postgraduate students in
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 genera
<p>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 co
<p>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 co
<p>First works related to the topics covered in this book belong to J. Delsarte and B. M. Le vitan and appeared since 1938. In these works, the families of operators that generalize usual translation operators were investigated and the corresponding harmonic analysis was constructed. Later, startin