On multiplicative properties of determinants

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Let A be an elliptic pseudodifferential operator of positive order on a compact closed manifold, and let T be a pseudodifferential operator of negative order such that Tm is of trace class. We compute log det(A(I + T )) − log det A − log detm (I + T ) where first two determinants are zeta function regularized, and the last one is a regularized Fredholm determinant.

Original languageEnglish (US)
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Pages123-128
Number of pages6
DOIs
StatePublished - Jan 1 2019

Publication series

NameContemporary Mathematics
Volume734
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

ASJC Scopus subject areas

  • Mathematics(all)

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  • Cite this

    Friedlander, L. (2019). On multiplicative properties of determinants. In Contemporary Mathematics (pp. 123-128). (Contemporary Mathematics; Vol. 734). American Mathematical Society. https://doi.org/10.1090/conm/734/14767