Polynomial Wavelets with Application to Evoked EEG Oscillations ---------------------------------------------------------------- Bernd Fischer Institute of Mathematics Medical University of Lubeck Abstract -------- In this talk we present a unified approach for the construction of polynomial wavelets. This novel approach is based on the properties of orthogonal polynomials and in particular on the theory of kernel polynomials. Several examples illustrate the new approach. In particular, we apply the polynomial wavelet scheme to signals obtained by visual cortex recordings of auditory and visual evoked potentials in the human brain. The obtained results strongly support the suggestion that alpha oscillations in the corresponding EEG are event-related oscillations.