Communications in Mathematical Physics

, Volume 220, Issue 1, pp 69–94

Regularized Products and Determinants

  • Georg Illies

DOI: 10.1007/s002200100448

Cite this article as:
Illies, G. Commun. Math. Phys. (2001) 220: 69. doi:10.1007/s002200100448


Zeta-regularized products are used to define determinants of operators in infinite dimensional spaces. This article provides a general theory of regularized products and determinants which delivers a better approach to their existence and explicit determination.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Georg Illies
    • 1
  1. 1.IHES, Le Bois-Marie, 35, Route de Chartres, 91440 Bures-sur-Yvette, France. E-mail: illies@ihes.frFR