3 papers
math.OC2026
Quantitatively hyper-positive real rational functions III
Daniel Alpay, Izchak Lewkowicz
Hyper-Positive Real, matrix-valued, rational functions are associated with absolute stability (the Lurie problem). Here, quantitative subsets of Hyper-positive functions, related t…
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…
math.AP2025
Jump problem for generalized Lamé-Navier systems in
Daniel Alfonso Santiesteban, Ricardo Abreu Blaya, Daniel Alpay
This paper is devoted to study a fundamental system of equations in Linear Elasticity Theory: the famous Lamé-Navier system. The Clifford algebra language allows us to rewrite thi…