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math-ph2007★ 4 cited
Some Sharp L^2 Inequalities for Dirac Type Operators
Alexander Balinsky, John Ryan
We use the spectra of Dirac type operators on the sphere to produce sharp inequalities on the sphere. These operators include the Dirac operator on , the con…
math.DG2007★ 7 cited
Monogenic Functions in Conformal Geometry
Michael Eastwood, John Ryan
Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain s…