**Lothar Berg, Manfred Kr\"{u}ppel**

**On Discrete Solutions of Two-Scale Difference Equations**

**The paper is published:**
Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 56, 63-79(2002)

**MSC:**- 39B32 Equations for complex functions, See also {30D05}
- 46F10 Operations with distributions
- 15A57 Other types of matrices (Hermitian, skew-Hermitian, etc.)

**Abstract:** Two-scale difference equations are considered at dyadic points. The

corresponding solutions are called discrete solutions. They are calculated

explicitly and accompanied by generating functions. As intermediate step

there are also derived formulas which are valid for distributional

solutions.

**Keywords:** *Two-scale difference equations, discrete solutions, distributional solutions, two-slanted matrices, generating functions*