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-Askey & Wilson, Al Salam-Carlitz and the celebrated q-little and q-big Jacobi. 1 Introduction. In the last decade an increasing interest on the so called q-orthogonal polynomials (or basic orthogonal polynomials) is observed ( for a review see [1], [2] and [3]). The reason is not only of purely intrinsic

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Abstract — We consider minimum variance estimation within the sparse linear Gaussian model (SLGM). A sparse vector is to be estimated from a linearly transformed version embedded in Gaussian noise. Our analysis is based on the theory of reproducing kernel Hilbert spaces (RKHS). After a characterization of the RKHS associated with the SLGM, we derive a lower bound on the minimum variance achievable by estimators with a prescribed bias function, including the important special case of unbiased estimation. This bound is obtained via an orthogonal projection of the prescribed mean function onto a subspace of the RKHS associated with the SLGM. It provides an approximation to the minimum achievable variance (Barankin bound) that is tighter than any known bound. Our bound holds for an arbitrary system matrix, including the overdetermined and underdetermined cases. We specialize

Abstract. Eective recombination coecients are given for C ii transitions between doublet states. The cal-culations are carried out in the temperature range 500 − 20 000 K and for an electron density of 104 cm−3. The eects of electron collisions on the excited states are included. The necessary

In this paper we are interested in the maximisation problem for the quantum or non-quantum entropy functional (1.1) H(g):=

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Abstract. Let us consider the set of non-abelian nite simple groups which admit non-trivial irre-ducible projective representations of degree 7 over an algebraically closed eld F of characteristic p 0. We survey some recent results which lead to the complete list of the groups in this set which

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