Emilio Ortega Arjonilla, una complicidad maravillosamente inevitable

Ortega - Cerdà

We study some size estimates for the solution of the equation ∂̄u = f in one variable. The new ingredient is the use of holomorphic functions with precise growth restrictions in the construction of explicit solutions to the equation.

To Emilio and

Emilio Gentile : Politics as Religion

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Curve - constrained drawings of planar graphs ✩ Emilio

Let C be the family of 2D curves described by concave functions, let G be a planar graph, and let L be a linear ordering of the vertices of G. L is a curve embedding of G if for any given curve Λ ∈ C there exists a planar drawing of G such that: (i) the vertices are constrained to be on Λ with the same ordering as in L, and (ii) the edges are polylines with at most one bend. Informally speaking...

790 Joaquim Ortega - Cerdà and Kristian Seip

We solve the problem of Duffin and Schaeffer (1952) of characterizing those sequences of real frequencies which generate Fourier frames. Equivalently, we characterize the sampling sequences for the Paley-Wiener space. The key step is to connect the problem with de Branges’ theory of Hilbert spaces of entire functions. We show that our description of sampling sequences permits us to obtain a cla...