Skip to main content
SpringerLink
Log in

Relative Zeta Functions, Relative Determinants and Scattering Theory

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Universität Bonn, Mathematisches Institut, Beringstrasse 1, D-53115 Bonn, Germany.¶E-mail: mueller@rhein.iam.uni-bonn.de, , , , , , DE

    Werner Müller

Authors
  1. Werner Müller
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 15 January 1997 / Accepted: 2 July 1997

Rights and permissions

Reprints and permissions

About this article

Cite this article

Müller, W. Relative Zeta Functions, Relative Determinants and Scattering Theory . Comm Math Phys 192, 309–347 (1998). https://doi.org/10.1007/s002200050301

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200050301

Keywords

Search

Navigation