Clifford Analysis and Its Applications

Table of Contents

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   Book Overview
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   Chapter 1 Riemann-Hilbert Problems in Clifford Analysis
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   Chapter 2 The Continuous Wavelet Transform in Clifford Analysis
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   Chapter 3 Automated Symbolic Computation in Spin Geometry
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   Chapter 4 Monogenic Forms of Polynomial Type
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   Chapter 5 On Beltrami Equations in Clifford Analysis and Its Quasi-conformal Solutions
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   Chapter 6 Parallel Transport of Algebraic Spinors on Clifford Manifolds
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   Chapter 7 A Correspondence of Hyperholomorphic and Monogenic Functions in ℝ 4
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   Chapter 8 On Weighted Spaces of Monogenic Quaternion-valued Functions
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    Chapter 9 Plane Waves in Premetric Electrodynamics
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    Chapter 10 Contact Symplectic Geometry in Parabolic Invariant Theory and Symplectic Dirac Operator
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    Chapter 11 Commimication via Holomorphic Green Functions
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    Chapter 12 Hyper-holomorphic Cells and Riemann-Hilbert Problems
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    Chapter 13 Nilpotent Lie Groups in Clifford Analysis and Mathematical Physics
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    Chapter 14 A Quaternionic Generalization of the Riccati Differential Equation
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    Chapter 15 Invariant Operators for Quaternionic Structures
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    Chapter 16 On Generalized Clifford Algebras - a Survey of Applications
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    Chapter 17 Is the Visual Cortex a “Clifford Algebra Quantum Computer”?
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    Chapter 18 The Cl n -Valued Robin Boundary Value Problem on Lipschitz Domains in ℝ n
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    Chapter 19 Quaternionic Analysis in ℝ 3 Versus Its Hyperbolic Modification
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    Chapter 20 Contributions to a Geometric Function Theory in Higher Dimensions by Clifford Analysis Methods: Monogenic Functions and M-conformal mappings
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    Chapter 21 The Dirac Type Tensor Equation in Riemannian Space
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    Chapter 22 Harmonic Analysis of Dirac Operators on Lipschitz Domains
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    Chapter 23 Weight Problems for Higher Dimensional Singular Integrals via Clifford Analysis
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    Chapter 24 The Conformal Laplacian on Spheres and Hyperbolas via Clifford Analysis
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    Chapter 25 Combinatorics and Clifford analysis
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    Chapter 26 The Spherical X-Ray Transform of Texture Goniometry
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    Chapter 27 Quaternionic Complexes in Clifford Analysis
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    Chapter 28 Clifford Analysis on the Level of Abstract Vector Variables
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    Chapter 29 Clifford Analysis as a Study of Invariant Operators
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    Chapter 30 Teodorescu Type Transforms in Applications
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    Chapter 31 Combinatorics and Clifford Analysis
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    Chapter 32 Double Covers of Pseudo-orthogonal Groups
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    Chapter 33 Higher Spin Fields on Smooth Domains
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    Chapter 34 Bergman Type Spaces on the Unit Disk