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Original Articles

The kerzman-stein theorem on the sphere

Pages 73-99 | Received 20 Nov 1999, Published online: 29 May 2007
 

Abstract

Spherical monogenics of complex degree correspond to local eigenfunctions of the (Atiyah-Singer) Dirac operator on the unit sphere. Sm−1 of . In this paper we will consider the L2 -boundary value theory for this class of functions. The main Theorem is a higher dimensional version of the Kerzman-Stein Theorem of complex analysis in the plane.

AMS Mathematics Subject Classifications 1991:

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