Title | Advances in Analysis and Geometry [electronic resource] : New Developments Using Clifford Algebras / edited by Tao Qian, Thomas Hempfling, Alan McIntosh, Frank Sommen |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2004 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7838-8 |
Descript | XV, 376 p. online resource |
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-Weitzenbรถck Formulas for Hyper-Kรคhlerian Gradients -- Cohomology Groups of Harmonic Spinors on Conformally Flat Manifolds -- Spin Geometry, Clifford Analysis, and Joint Seminormality -- A Mean Value Laplacian for Strongly KรคhlerโFinsler Manifolds -- C. Applications -- Non-commutative Determinants and Quaternionic Monge-Ampรจre Equations -- GalpernโSobolev 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