Regularized and <i>L</i> <sup>2</sup> -Determinants
Regularized and <i>L</i> <sup>2</sup> -Determinants
A notion of L2-determinant is established generalizing L2-torsion. It is shown that classical regularized determinants of elliptic operators converge to L2-determinants in a tower of coverings. A product formula is proved, which provides an Euler-product expansion to regularized determinants, having generalized L2-determinants as Euler-factors. 1991 Mathematics Subject Classification: 58G26, 58F20.