On multiplicative properties of determinants

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations


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
Number of pages6
StatePublished - 2019

Publication series

NameContemporary Mathematics

ASJC Scopus subject areas

  • General Mathematics


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