Spring Lectures N. 16: Clifford Algebras in Analysis (1993)

Principal Lecturer: Alan McIntosh (Macquarie University, Australia)

Contributions by:

P. Auscher, "Smooth Clifford Wawelets and Applications"

G. Verchota, "The boudnary Garding inequality for higher order elliptic operators"

G. David, "Uniform rectifiability of singular sets for the Mumford-Shah functional"

J. Gilbert, "Dirac operators and representations of Spin(1,n)"

D. Dix, "Applications of Clifford Analysis to inverse scattering in several space dimensions"

N. Vasilievsky, "Singular integral operators in quaternionic and Clifford analysis"

Z. Xu, "On boundary Value problems for monogenic functions"

P. Jorgensen, "Self adjoint operators extensions and Clifford Algebras"

C. Kenig, "Square functions estimates for solutions to elliptic equations and systems on Lipschitz domains"

M. Mitrea, "Hypercomplex variable techniques in harmonic analysis"

C. Li, "Clifford algebras and n-tuple operators"

T. Qian, "Singular integrals with monogenic kernels on tori"

J. Ryan, "Conformally covariant operators in several complex variables"

B. Jawerth, "Clifford Wavelets"

S. Semmes, "Clifford analysis, square functions and weak flatness"

Z. Wu, "Bilinear forms on Potential spaces"

R. Torres, "Transmission problems with Lipschitz interfaces"

M. Shapiro, " The dirac operator factorizes the Laplacian"

J. Alvarez, "H^p and weak H^P continuiuty of Calderon-Zygmund type operators"

C. Zhou, " Neuman type problems for Dirac operators"

W. Pezzaglia, "Properties and physical interpretations of classes of solutions to the real multivector Dirac Equation"

P. Lounesto, "Mobius transformations, Vahlen matrices and their factorization"

G. Miller, "Multilinear Arcana and the Clifford algebra connection"