Title: Symbolic Computation and Wavelets Authors: Peter Paule Affiliation: RISC-Linz, J. Kepler University, Linz, Austria Abstract: The talk reports on recent work joint with F. Chyzak, O. Scherzer, A. Schoisswohl and B. Zimmermann. It discusses the construction of wavelets in connection with the use of methods from computer algebra, in particular, Gr{\"o}bner bases and symbolic summation.