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Topics in Clifford Analysis

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Cover of 'Topics in Clifford Analysis'

Table of Contents

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    Book Overview
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    Chapter 1 Cauchy’s Formula in Clifford Analysis: An Overview
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    Chapter 2 Quaternionic Hyperbolic Function Theory
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    Chapter 3 Slice Regularity and Harmonicity on Clifford Algebras
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    Chapter 4 Some Notions of Subharmonicity over the Quaternions
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    Chapter 5 A Fatou Theorem and Poisson’s Integral Representation Formula for Elliptic Systems in the Upper Half-Space
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    Chapter 6 Hardy Spaces for the Three-Dimensional Vekua Equation
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    Chapter 7 Radial and Angular Derivatives of Distributions
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    Chapter 8 Applications of Parabolic Dirac Operators to the Instationary Viscous MHD Equations on Conformally Flat Manifolds
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    Chapter 9 Generalized Riesz Transforms, Quasi-Monogenic Functions and Frames
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    Chapter 10 Quaternionic Operator Calculus for Boundary Value Problems of Micropolar Elasticity
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    Chapter 11 Constructive Orthonormalisation of Monogenic Polynomials on a Finite Cylinder
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    Chapter 12 Comments on an Orthogonal Family of Monogenic Functions on Spheroidal Domains
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    Chapter 13 Newton’s Approach to General Algebraic Equations over Clifford Algebras
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    Chapter 14 Connections in Euclidean and Non-commutative Geometry
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    Chapter 15 Conformal Parametrisation of Loxodromes by Triples of Circles
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    Chapter 16 Automorphic Forms and Dirac Operators on Conformally Flat Manifolds
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    Chapter 17 Higher Order Fermionic and Bosonic Operators
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    Chapter 18 Clifford Möbius Geometry
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    Chapter 19 Separation of Variables in the Semistable Range
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    Chapter 20 Variety of Idempotents in Nonassociative Algebras
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    Chapter 21 Relativistic Wave Equations on the lattice: an operational perspective
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    Chapter 22 Cauchy-Pompeiu Formula for Discrete Monogenic Functions
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    Chapter 23 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
Attention for Chapter 20: Variety of Idempotents in Nonassociative Algebras
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Chapter title
Variety of Idempotents in Nonassociative Algebras
Chapter number 20
Book title
Topics in Clifford Analysis
Published by
Birkhäuser, Cham, January 2019
DOI 10.1007/978-3-030-23854-4_20
Book ISBNs
978-3-03-023853-7, 978-3-03-023854-4

Yakov Krasnov, Vladimir G. Tkachev

Mendeley readers

The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 3 100%

Demographic breakdown

Readers by professional status Count As %
Professor 1 33%
Professor > Associate Professor 1 33%
Lecturer > Senior Lecturer 1 33%
Readers by discipline Count As %
Mathematics 3 100%