Modern Trends in Hypercomplex Analysis

1. Cauchy–Pompeiu Formula for Multi-meta-weighted-monogenic Functions of first class
Eusebio Ariza García, Antonio Teodoro

2. Greedy Algorithms and Rational Approximation in One and Several Variables
Laurent Baratchart, Wei-Xiong Mai, Tao Qian

3. A. Kolmogorov and M. Riesz Theorems for Octonion-valued Monogenic Functions
Sultan Catto, Alexander Kheyfits, David Tepper

4. Compressed Sensing with Nonlinear Fourier Atoms
Paula Cerejeiras, Qiuhui Chen, Narciso Gomes, Stefan Hartmann

5. Script Geometry
Paula Cerejeiras, Uwe Kähler, Franciscus Sommen, Adrian Vajiac

6. A Panorama on Quaternionic Spectral Theory and Related Functional Calculi
Fabrizio Colombo, David P. Kimsey

7. Models for Some Irreducible Representations of




mathfrak{so}(m, mathbb{C})

in Discrete Clifford Analysis
Hilde Ridder, Tim Raeymaekers

8. Gegenbauer Type Polynomial Solutions for the Higher Spin Laplace Operator
David Eelbode, Tim Janssens

9. A New Cauchy Type Integral Formula for Quaternionic k-hypermonogenic Functions
Sirkka-Liisa Eriksson, Heikki Orelma

10. Eigenfunctions and Fundamental Solutions of the Caputo Fractional Laplace and Dirac Operators
Milton Ferreira, Nelson Vieira

11. Three-dimensional Analogue of Kolosov–Muskhelishvili Formulae
Yuri Grigor’ev

12. On Some Properties of Pseudo-complex Polynomials
Klaus Gürlebeck, Dmitrii Legatiuk

13. Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras
Guangbin Ren, Xieping Wang, Zhenghua Xu

14. Differential Forms and Clifford Analysis
Irene Sabadini, Franciscus Sommen

15. Examples of Morphological Calculus
Franciscus Sommen

Keywords: Mathematics, Functions of a Complex Variable, Topological Groups, Lie Groups, Several Complex Variables and Analytic Spaces