Some families of orthogonal polynomials of a discrete variable and their applications to graphs and codes.
Combinatorial vs. algebraic characterizations of completely pseudo-regular codes.
Toeplitz operators and Wiener-Hopf factorisation: an introduction
Wiener-Hopf factorisation plays an important role in the theory of Toeplitz operators. We consider here Toeplitz operators in the Hardy spaces Hp of the upper half-plane and we review how their Fredholm properties can be studied in terms of a Wiener-Hopf factorisation of their symbols, obtaining necessary and sufficient conditions for the operator to be Fredholm or invertible, as well as formulae for their inverses or one-sided inverses when these exist. The results are applied to a class of singular...
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