This volume is based on a conference entitled "Clifford Algebras in Analysis" held in Fayetteville, Arkansas during the Easter weekend, April 8¿10th, 1993. The conference deals almost exclusively with the impact of Clifford analysis on harmonic analysis.
This volume is based on a conference entitled "Clifford Algebras in Analysis" held in Fayetteville, Arkansas during the Easter weekend, April 8¿10th, 1993. The conference deals almost exclusively with the impact of Clifford analysis on harmonic analysis.
Introduction J. Ryan Section on Open Problems Clifford Algebras Fourier Theory Singular Integrals and Harmonic Analysis on Lipschitz Domains A. McIntosh Clifford Algebras and Ho Functional Calculus of n-Tuple Commuting Operators C. Li and A. McIntosh Hypercomplex Variables Techniques in Harmonic Analysis M. Mitrea Applications of Conformal Covariance in Clifford Analysis J. Ryan Singular Integrals with Monogenic Kernels on the n-Torus and its Lipschitz Perturbations T. Qian Scattering Theory for Orthogonal Wavelets P.E.T. Jorgensen Acoustic Scattering Galerkin Estimates and Clifford Algebras B. Jawerth and M. Mitrea Clifford Algebra Hardy Space and Compensated Compactness Z. Wu Frame Decomposition of Form-valued Hardy Spaces J. Gilbert J. Lakey and J. Hogan Applications of Clifford Analysis to Inverse Scattering for Linear Hierarchy in Several Space Dimensions D.B. Dix On Riemann-Hilbert Problems for the Dirac Operator in a Half Space of Rn Z. Xu and C. Zhou Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains M. Mitrea R.H. Torres and G.V. Welland Continuity of Calderon-Zygmund Type Operators on the Predual of a Morrey Space J. Alvarez Neumann Type Problems for the Dirac Operator C. Zhou The Hyperholomorphic Bergman Projector and its Properties E. Ramirez de Arellano M. Shapiro and N. Vasilevski Multivector Solutions to the Meta-Holomorphic Massive Dirac Equation W. Pizzaglia Jr. Mobius Transformations Vahlen Matrices and their Factorizations P. Lounesto
Introduction J. Ryan Section on Open Problems Clifford Algebras Fourier Theory Singular Integrals and Harmonic Analysis on Lipschitz Domains A. McIntosh Clifford Algebras and Ho Functional Calculus of n-Tuple Commuting Operators C. Li and A. McIntosh Hypercomplex Variables Techniques in Harmonic Analysis M. Mitrea Applications of Conformal Covariance in Clifford Analysis J. Ryan Singular Integrals with Monogenic Kernels on the n-Torus and its Lipschitz Perturbations T. Qian Scattering Theory for Orthogonal Wavelets P.E.T. Jorgensen Acoustic Scattering Galerkin Estimates and Clifford Algebras B. Jawerth and M. Mitrea Clifford Algebra Hardy Space and Compensated Compactness Z. Wu Frame Decomposition of Form-valued Hardy Spaces J. Gilbert J. Lakey and J. Hogan Applications of Clifford Analysis to Inverse Scattering for Linear Hierarchy in Several Space Dimensions D.B. Dix On Riemann-Hilbert Problems for the Dirac Operator in a Half Space of Rn Z. Xu and C. Zhou Regularity and Approximation Results for the Maxwell Problem on C1 and Lipschitz Domains M. Mitrea R.H. Torres and G.V. Welland Continuity of Calderon-Zygmund Type Operators on the Predual of a Morrey Space J. Alvarez Neumann Type Problems for the Dirac Operator C. Zhou The Hyperholomorphic Bergman Projector and its Properties E. Ramirez de Arellano M. Shapiro and N. Vasilevski Multivector Solutions to the Meta-Holomorphic Massive Dirac Equation W. Pizzaglia Jr. Mobius Transformations Vahlen Matrices and their Factorizations P. Lounesto
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