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A Cauchy--Riemann-Type CK Extension for Monogenic Functions
We introduce a generalized Cauchy--Kowalevski extension associated with a biaxial decomposition of $\mathbb{R}^{m+1}$, allowing monogenic functions to be reconstructed from data prescribed on the subspace $\{X\in\mathbb{R}^{m+1}: z=0\}$ where $z=x_0+x_1e_1$. The extension admits a natural decomposit
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