论文标题
克利福德分析无限期签名
Clifford Analysis with Indefinite Signature
论文作者
论文摘要
我们将经典Clifford分析的结构扩展到不确定的非二次二次形式的情况。我们通过考虑某个波浪操作员的狄拉克操作员来定义（p，q） - 左和右键的函数。我们证明了Cauchy为这些功能的整体公式的两个不同版本。这两个公式来自以不同的方式处理奇点，并受到[L，FL]的方法的启发。这些结果表明这些方法是处理奇异性的优点。
We extend constructions of classical Clifford analysis to the case of indefinite non-degenerate quadratic forms. We define (p,q)-left- and right-monogenic functions by means of Dirac operators that factor a certain wave operator. We prove two different versions of Cauchy's integral formulas for these functions. The two formulas arise from dealing with singularities in distinct ways, and are inspired by the methods of [L, FL]. These results indicate the merit of these methods for dealing with singularities.
