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 language||English (US)|
|Title of host publication||Contemporary Mathematics|
|Publisher||American Mathematical Society|
|Number of pages||6|
|State||Published - Jan 1 2019|
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