Analytic Properties of the Conformal Dirac Operator on the Sphere in Clifford Analysis

Brett Pansano

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arXiv · 1505.06964

Analytic Properties of the Conformal Dirac Operator on the Sphere in Clifford Analysis

Brett Pansano

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Abstract

In this paper the conformal Dirac operator on the sphere is defined to be operating on the space of square-integrable Clifford algebra-valued functions. The spinorial Laplacian of order d>0 is defined and used to establish Sobolev embedding theorems.

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Brett Pansano. 2015-05-26. Analytic Properties of the Conformal Dirac Operator on the Sphere in Clifford Analysis. https://arxiv.org/abs/1505.06964

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