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Let €3 be a properly discontinuous group of affine transformations acting onan n-dimensional affine space and P a €3-invariant linear elliptic differential operator with constant coefficients. In this paper the €3-autornorphic eigenvalue problem to P is solved. For the number N(X) of the eigenvalues which are less than or equal to the "frequency bound" A 2 the asymptotic estimation N(X) = c0xi . c1xi • O(Xn_2*2'(i*i)) is given with co and c1 being interesting geometric invariants. . •. . .

Eigenva1ue Distribution of Invariant Linear Second Order Elliptic Differential Operators with Constant Coefficients