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Estimates for spectral density functions of matrices over C[Z^d]

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.

preprint2014arXivOpen access
Wolfgang Lueck
math.NT
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Wolfgang Lueck

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