Generalized holomorphic functions and Clifford analysis.
Obolashvili, E. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Displaying similar documents to “Cauchy-Kowalewski theorems in Clifford analysis : a survey”
Generalized holomorphic functions and Clifford analysis.
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Extension theorem for complex Clifford algebras-valued functions on fractal domains.
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Jan Persson (1976)
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Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces.
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Hyper-differential operators in complex space
François Trèves (1969)
Bulletin de la Société Mathématique de France
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On defining the generalized functions and .
Koh, E.K., Li, C.K. (1993)
International Journal of Mathematics and Mathematical Sciences
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On representations of real analytic functions by monogenic functions
Hongfen Yuan (2019)
Czechoslovak Mathematical Journal
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Using the method of normalized systems of functions, we study one representation of real analytic functions by monogenic functions (i.e., solutions of Dirac equations), which is an Almansi’s formula of infinite order. As applications of the representation, we construct solutions of the inhomogeneous Dirac and poly-Dirac equations in Clifford analysis.