Buch, Englisch, 503 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 951 g
Reihe: Trends in Mathematics
Special Volume in Honor of Wolfgang Sprößig
Buch, Englisch, 503 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 951 g
Reihe: Trends in Mathematics
ISBN: 978-3-030-23853-7
Verlag: Springer International Publishing
The aim of this volume is to provide an essential overview of modern topics in Clifford analysis, presented by specialists in the field, and to honor the valued contributions to Clifford analysis made by Wolfgang Sprößig throughout his career.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
- Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
Weitere Infos & Material
Part I - Clifford analysis theories.- Cauchy’s formula in Clifford analysis: An Overview.- Quaternionic Hyperbolic Function Theory.- Slice Regular and Harmonicity in Clifford Analysis.- Some notions of Subharmonicity over the Quaternions.- Part II - Applications to Elliptic Partial Differential Equations.- A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the Upper-Half Space.- Hardy Spaces for Three-Dimensional Vekua Equation.- Radial and Angular Derivatives of Distributions.- Applications of Parabolic Dirac Operators to the Instationary Viscous MHD Equations on Conformally Flat Manifolds.- Generalized Riesz Transforms, Quasi-Monogenic Functions and Frames.- Part III - Monogenic Polynomials and Numerical Methods.- Quaternionic Operator Calculus for Boundary Value Problems of Micropolar Elasticity.- Constructive Orthonormalization of Monogenic Polynomials on a Finite Cylinder.- Comments on an Orthogonal Family of Monogenic Functions on Spheroidal Domains.- Newton’s Approach to General Algebra Equations over Clifford Algebras.- Part IV - Differential Geometry.- Connections in Euclidean and Non-Commutative Geometry.- Conformal Parametrisation of Loxodroms by Tripels of Circles.- Automorphic Forms and Dirac Operators on Conformally Flat manifolds.- Higher order Fermionic and Bosonic Operators.- Clifford Möbius Geometry.- Separation of Variables in the Semistable Range.- Variety of Idempotents in Nonassociative Algebras.- Part V - Discrete Clifford Analysis.- Relativistic Wave Equations on the Lattice: An Operational Perspective.- Cauchy-Pompeiu Formula for Discrete Monogenic Functions.- A Useful Transformation for Solving the Discrete Beltrami Equation and Reducing a Difference Equation of Second Order to a System of Equations of First Order.