Advances in analysis and geometry : new developments using Clifford algebras
Author(s)
Bibliographic Information
Advances in analysis and geometry : new developments using Clifford algebras
（Trends in mathematics）
Birkhäuser, c2004
Available at / 10 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C||Advances-4304005218
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:512.57/T1592080001423
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Note
Includes bibliographical references
Description and Table of Contents
Description
At the heart of Clifford analysis is the study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool. This book focuses on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. This book collects refereed papers from a satellite conference to the ICM 2002, plus invited contributions. All articles contain unpublished new results.
Table of Contents
A. Differential Equations and Operator Theory.- 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 BqFunctions.- Pointwise Convergence of Fourier Series on the Unit Sphere of R4with the Quaternionic Setting.- Cauchy Kernels for some Conformally Flat Manifolds.- Clifford Analysis on the Space of Vectors, Bivectors and ?-vectors.- B. Global Analysis and Differential Geometry.- Universal Bochner-Weitzenboeck Formulas for Hyper-Kahlerian Gradients.- Cohomology Groups of Harmonic Spinors on Conformally Flat Manifolds.- Spin Geometry, Clifford Analysis, and Joint Seminormality.- A Mean Value Laplacian for Strongly Kahler-Finsler Manifolds.- C. Applications.- Non-commutative Determinants and Quaternionic Monge-Ampere 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.
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