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Artículo
On the modification of classical orthogonal polynomials: the symmetric case
(Springer, 1998-03)
We consider the modifcations of the monic Hermite and Gegenbauer polynomials via the addition of one point mass at the origin. Some properties of the resulting polynomials are studied: three-term recurrence relation, ...
Artículo
A Birkhoff theorem for Riemann surfaces
(Rocky Mountain Mathematics Consortium, 1998)
A classical theorem of Birkhoff asserts that there exists an entire function f such that the sequence of function {/(z + n)}n≥o is dense in the space of entire functions. In this paper we give sufficient conditions on a ...
Artículo
Concentration of the distance in finite dimensional normed spaces
(University College London, Faculty of Mathematical and Physical Sciences, Department of Mathematics, 1998-12)
We prove that in every finite dimensional normed space, for “most” pairs (x, y) of points in the unit ball, ∥x − y∥ is more than √2(1 − ε). As a consecuence, we obtain a result proved by Bourgain, using QS-descomposition, ...