If you intend to participate in the symposium, but have not registered yet, it will be appreciated if you would register as soon as possible. In this talk we present a unified approach for the construction of polynomial wavelets. Our main tool are orthogonal polynomials. We discuss some of the main properties of both the resulting scaling functions and wavelets. In particular, we comment on how to derive orthogonal wavelets.
Several examples illustrate the new approach.
Moreover, we apply the polynomial wavelet scheme to signals obtained by visual cortex recordings of auditory and visual evoked potentials in the human brain and draw some conclusions from these computations. Everybody is cordially invited. In the first part of the talk we revisit the Koenig theorem and devise a new technique for the numerical factorization of polynomials based on Toeplitz matrix computations. We describe the implementation of the algorithm and the results of numerical tests. It is particularly useful since the only computable information required is the algebraic signs of the components of the function.