The multiplicative anomaly for determinants of elliptic operators
type: Item
instance of: scholarly article
title: The multiplicative anomaly for determinants of elliptic operators
zbMATH Open document ID: 0851.58048
DOI: 10.1215/S0012-7094-95-07919-8
author: K. Okikiolu
published in: Duke Mathematical Journal
publication date: 1996-05-14T00:00:00Z
review text: The author, among other things, derives two new expressions for \[ \log \text{det } AB - \log \text{det } A - \log \text{det }B\tag \(*\) \] for suitable operators \(A\) and \(B\). When \(A\) and \(B\) commute, a formula for \((*)\) was computed by \textit{M. Wodzicki} [Lect. Notes Math. 1289, 320-399 (1987; Zbl 0649.58033)]. In this paper one can find some interesting variations and generalizations of \((*)\) in the spirit of Analysis and Geometry.
reviewed by: Themistocles M. Rassias
Mathematics Subject Classification ID: 58J52
Mathematics Subject Classification ID: 58J40
zbMATH DE Number: 878413
zbMATH Keywords: multiplicative anomaly
zbMATH Keywords: elliptic operators
zbMATH Keywords: spectrum
zbMATH Keywords: pseudodifferential operator
zbMATH Keywords: determinant
zbMATH Keywords: polyhomogeneous
MaRDI profile type: Publication
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full work available at URL: s0012-7094-95-07919-8
OpenAlex ID: W1554746134
description: scientific article; zbMATH DE number 878413