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Solutions of the generalized Dirichlet problem for the iterated slice Dirac equation. (English) Zbl 1524.30164

Summary: Applying the method of normalized systems of functions we construct solutions of the generalized Dirichlet problem for the iterated slice Dirac operator in Clifford analysis. This problem is a natural generalization of the Dirichlet problem.

MSC:

30G35 Functions of hypercomplex variables and generalized variables
35J40 Boundary value problems for higher-order elliptic equations
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References:

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