Fakultät f\"ur Mathematik,

Technische Universität Chemnitz, Germany

In order to solve partial differential equations or boundary integral equations with a conforming Wavelet-Galerkin-Scheme, globally continuous biorthogonal wavelet bases are required with the following properties

- norm equivalences in a certain range of Sobolev spaces,
- vanishing moments,
- approximation order,
- boundary value conditions.