Kolmogorov diameters in solution spaces of systems of partial differential equations

Let E_p(0) denote the solutions (on 0<R ^N) of a system P(D) of partial differential equations with constant coefficients in a localizable analytically uniform space E (defined on 0). The relative Kolmogorov diameters of the neighbourhoods of 0 in E_p(0) are estimated from above and below, using the fundamental principle of Ehrenpreis. The diametral dimension, of E_p(0) is calculated and it is proved, that E_p(R ^N) and E_p(0) are nonisomorphic for (partially) bounded 0, in special cases.Dedicated to Heinz-Günter Tillmann on the occasion of his 60th birthday