Modern Trends in Hypercomplex Analysis

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Bernstein, Swanhild (Επιμελητής έκδοσης), Kähler, Uwe (Επιμελητής έκδοσης), Sabadini, Irene (Επιμελητής έκδοσης), Sommen, Franciscus (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Σειρά: Trends in Mathematics,
• Θέματα: Mathematics.; Topological groups.; Lie groups.; Functions of complex variables.; Functions of a Complex Variable.; Topological Groups, Lie Groups.; Several Complex Variables and Analytic Spaces.

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.

Πίνακας περιεχομένων:

• Cauchy–Pompeiu Formula for Multi-meta-weighted-monogenic Functions of first class
• Greedy Algorithms and Rational Approximation in One and Several Variables
• A. Kolmogorov and M. Riesz Theorems for Octonion-valued Monogenic Functions
• Compressed Sensing with Nonlinear Fourier Atoms
• Script Geometry
• A Panorama on Quaternionic Spectral Theory and Related Functional Calculi
• Models for Some Irreducible Representations of so(m,C) in Discrete Clifford Analysis
• Gegenbauer Type Polynomial Solutions for the Higher Spin Laplace Operator
• A New Cauchy Type Integral Formula for Quaternionic k-hypermonogenic Functions
• Eigenfunctions and Fundamental Solutions of the Caputo Fractional Laplace and Dirac Operators
• Three-dimensional Analogue of Kolosov–Muskhelishvili Formulae
• On Some Properties of Pseudo-complex Polynomials
• Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras
• Differential Forms and Clifford Analysis
• Examples of Morphological Calculus.