6 papers
Hyperpositive functions, sector bounded functions and a trace formula
Daniel Alpay, Izchak Lewkowicz
We study an indexed family of functions closely related to functions ana- lytic and with a real positive part in the right open half plane (the so-called positive functions) and to…
Quantitatively hyper-positive real rational functions IV: The canonical case
Daniel Alpay, Izchak Lewkowicz
In the linear time-invariant framework, passive systems are modeled by positive real functions. Dissipative systems can be modeled by the subset of quantita- tively Hyper-positive…
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…
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…
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 this…
Infinite product representations for kernels and iterations of functions
D. Alpay, P. Jorgensen, I. Lewkowicz +1
We study infinite products of reproducing kernels with view to their use in dynamics (of iterated function systems), in harmonic analysis, and in stochastic processes. On the way,…