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OverviewFull Product DetailsAuthor: Swanhild BernsteinPublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: 1st ed. 2019 Weight: 0.951kg ISBN: 9783030238537ISBN 10: 3030238539 Pages: 503 Publication Date: 25 October 2019 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsPart 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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