Abstract:
We use the method of zeta function regularization to regularize the ratio det A det A 0$ of the determinants of two elliptic self-adjoint operators A, A 0 satisfying certain natural assumptions. This is of interest, especially, if the regularized determinants of the individual operators don't exist as, for example, in the case of elliptic operators on a noncompact manifold.
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Received: 15 January 1997 / Accepted: 2 July 1997
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Müller, W. Relative Zeta Functions, Relative Determinants and Scattering Theory . Comm Math Phys 192, 309–347 (1998). https://doi.org/10.1007/s002200050301
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DOI: https://doi.org/10.1007/s002200050301