Runge approximation theorems in complex Clifford analysis together with some of their applications |
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| Authors: | John Ryan |
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| Institution: | Department of Mathematics, University of Essex, Wivenhoe Park, Colchester CO4 3SQ, Britain |
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| Abstract: | A number of Runge approximation theorems are proved for complex Clifford algebra valued holomorphic functions which either satisfy the holomorphic, homogeneous Dirac equation, or complex Laplacian. The results are applied to establish analogues of the homological version of the Mittag-Leffler theorem. |
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