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math.AP2026
The Dirichlet problem for a non-commutative elliptic operator in the ball
A. Moreno García, D. Alfonso Santiesteban, R. Abreu Blaya
In this paper we establish a necessary and sufficient condition for the solvability of the Dirichlet problem in the unit ball for the second order system $\partial_{\u…
math.AP2026
Hardy decomposition of first order Lipschitz functions by Lamé-Navier solutions
Daniel Alfonso Santiesteban, Ricardo Abreu Blaya, Daniel Alpay
The Clifford algebra language allows us to rewrite the Lamé-Navier system in terms of the Euclidean Dirac operator. In this paper, the main question we shall be concerned with is w…