Chebyshev wells: Periods, deformations, and resurgence

Two Variable Deformations of the Chebyshev Measure

The general theory of bivariate orthogonal polynomials goes back to the work of Jackson [12]. Special examples have arisen in studies related to symmetric groups [4, 16, 22]), as extensions of one variable polynomials [7, 15] and as eigenfunctions of partial differential equations [19, 14, 13, 21]. An updated account of the theory can be found in the books [5, 25]. A major difficulty encountere...

Resurgence of dengue.

D is an endemic mosquitotransmitted arboviral disease with an estimated 3.97 bil l ion people at risk in 128 tropical and subtropical countries around World.1 Infection by any one of the four serotypes of dengue virus (DENV-1 to DENV-4) could cause multiple spectra of disease including dengue fever, dengue shock syndrome ( D S S ) a n d d e n g u e h a e m o r r h a g i c fever (DHF). In 2008, ...

Approximating weak Chebyshev subspaces by Chebyshev subspaces

We examine to what extent finite-dimensional spaces defined on locally compact subsets of the line and possessing various weak Chebyshev properties (involving sign changes, zeros, alternation of best approximations, and peak points) can be uniformly approximated by a sequence of spaces having related properties. r 2003 Elsevier Science (USA). All rights reserved.

Proximality and Chebyshev sets

This paper is a companion to a lecture given at the Prague Spring School in Analysis in April 2006. It highlights four distinct variational methods of proving that a finite dimensional Chebyshev set is convex and hopes to inspire renewed work on the open question of whether every Chebyshev set in Hilbert space is convex.

ε-weakly Chebyshev subspaces and quotient spaces