Displaying similar documents to “Clifford analysis approach to a self-conjugate Cauchy type integral on Ahlfors regular surfaces”

Residues for monogenic forms on Riemannian manifolds

Souček, Vladimír

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The paper extends the theory of residues on monogenic forms on domains in ℝ n (monogenic forms are generalizations of holomorphic forms to Clifford analysis) to monogenic forms on orientable Riemann manifolds.

A Cauchy-Pompeiu formula in super Dunkl-Clifford analysis

Hongfen Yuan (2017)

Czechoslovak Mathematical Journal

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Using a distributional approach to integration in superspace, we investigate a Cauchy-Pompeiu integral formula in super Dunkl-Clifford analysis and several related results, such as Stokes formula, Morera's theorem and Painlevé theorem for super Dunkl-monogenic functions. These results are nice generalizations of well-known facts in complex analysis.