Advances in Analysis and Geometry [electronic resource] : New Developments Using Clifford Algebras
Author: Qian, Tao, Hempfling, Thomas, McIntosh, Alan, Sommen, Frank
Added by: sketch
Added Date: 2015-12-30
Language: eng
Subjects: Mathematics, Global analysis (Mathematics), Integral equations, Operator theory, Functions, Special, Number theory, Mathematical physics, Functions, Special, Global analysis (Mathematics), Integral equations, Mathematical physics, Mathematics, Number theory, Operator theory
Publishers: Basel : Birkhäuser Basel : Imprint : Birkhäuser
Collections: journals contributions, journals
ISBN Number: 9783034878388, 3034878389, 9783034895897, 3034895895
Pages Count: 600
PPI Count: 600
PDF Count: 1
Total Size: 145.02 MB
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Description
Author: Tao Qian, Thomas Hempfling, Alan McIntosh, Frank Sommen
Published by Birkhäuser Basel
ISBN: 978-3-0348-9589-7
DOI: 10.1007/978-3-0348-7838-8
Table of Contents:
- Hodge Decompositions on Weakly Lipschitz Domains
- Monogenic Functions of Bounded Mean Oscillation in the Unit Ball
- Bp,q-Functions and their Harmonic Majorants
- Spherical Means and Distributions in Clifford Analysis
- Hypermonogenic Functions and their Cauchy-Type Theorems
- On Series Expansions of Hyperholomorphic Bq Functions
- Pointwise Convergence of Fourier Series on the Unit Sphere of R4 with the Quaternionic Setting
- Cauchy Kernels for some Conformally Flat Manifolds
- Clifford Analysis on the Space of Vectors, Bivectors and ℓ-vectors
- Universal Bochner-Weitzenböck Formulas for Hyper-Kählerian Gradients
- Cohomology Groups of Harmonic Spinors on Conformally Flat Manifolds
- Spin Geometry, Clifford Analysis, and Joint Seminormality
- A Mean Value Laplacian for Strongly Kähler-Finsler Manifolds
- Non-commutative Determinants and Quaternionic Monge-Ampère Equations
- Galpern—Sobolev Type Equations with Non-constant Coefficients
- A Theory of Modular Forms in Clifford Analysis, their Applications and Perspectives
- Automated Geometric Theorem Proving, Clifford Bracket Algebra and Clifford Expansions
- Quaternion-valued Smooth Orthogonal Wavelets with Short Support and Symmetry
Preface -- Differential Equations and Operator Theory -- Global Analysis and Differential Geometry -- Applications
The study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool lies in the heart of Clifford analysis. The focus is on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. At the present time, the study of Clifford algebra and Clifford analysis has grown into a major research field. There are two sources of papers in this collection. One is from a satellite conference to the ICM 2002 in Beijing, held August 15-18 at the University of Macau; and the other stems from invited contributions by top-notch experts in the field. All articles were strictly refereed and contain unpublished new results. Some of them are incorporated with comprehensive surveys in the particular areas that the authors work in