Modern Trends in Hypercomplex Analysis

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