%0 Journal Article %T Estimates for spectral density functions of matrices over C[Z^d] %A Wolfgang Lueck %J Mathematics %D 2013 %I arXiv %X We give a polynomial bound on the spectral density function of a matrix over the complex group ring of Z^d. It yields an explicit lower bound on the Novikov-Shubin invariant associated to this matrix showing in particular that the Novikov-Shubin invariant is larger than zero. %U http://arxiv.org/abs/1310.8564v2