Modern Trends in Hypercomplex Analysis (eBook, PDF)

Redaktion: Bernstein, Swanhild; Sommen, Franciscus; Sabadini, Irene; Kähler, Uwe

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 310
• Erscheinungstermin: 21. November 2016
• Englisch
• ISBN-13: 9783319425290
• Artikelnr.: 53152533

Inhaltsangabe

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.