Skills for Competitiveness, Jobs, and Employability in Developing Asia-Pacific

[Excerpt] The ADB International Skills Development Forum, held at ADB headquarters in December 2012, discussed key policy priorities and actions for skills development. It built on the discussions and outcomes of the first ADB International Skills Forum in December 2011. Government representatives, technical and vocational education and training (TVET) institutional heads, researchers, international organizations, policy research think tanks, and private sector representatives discussed skills development for employability and sustainable livelihoods. Of special importance to the forum discussions were the presentations of major studies from five organizations on skills and jobs that were released in 2012. This brief has been prepared by drawing on presentations and discussions at the 2012 forum and other related materials. Links to forum resources are provided on the last page of this brief

Two variable deformations of the Chebyshev measure

We construct one and two parameter deformations of the two dimensional Chebyshev polynomials with simple recurrence coefficients, following the algorithm in [3]. Using inverse scattering techniques, we compute the corresponding orthogonality measures.Comment: 16 page

Fej\'er-Riesz factorizations and the structure of bivariate polynomials orthogonal on the bi-circle

We give a complete characterization of the positive trigonometric polynomials Q(\theta,\phi) on the bi-circle, which can be factored as Q(\theta,\phi)=|p(e^{i\theta},e^{i\phi})|^2 where p(z,w) is a polynomial nonzero for |z|=1 and |w|\leq 1. The conditions are in terms of recurrence coefficients associated with the polynomials in lexicographical and reverse lexicographical ordering orthogonal with respect to the weight 1/(4\pi^2Q(\theta,\phi)) on the bi-circle. We use this result to describe how specific factorizations of weights on the bi-circle can be translated into identities relating the recurrence coefficients for the corresponding polynomials and vice versa. In particular, we characterize the Borel measures on the bi-circle for which the coefficients multiplying the reverse polynomials associated with the two operators: multiplication by z in lexicographical ordering and multiplication by w in reverse lexicographical ordering vanish after a particular point. This can be considered as a spectral type result analogous to the characterization of the Bernstein-Szeg\H{o} measures on the unit circle