Zeta regularized products and functional determinants on spheres
type: Item
instance of: scholarly article
title: Zeta regularized products and functional determinants on spheres
zbMATH Open document ID: 0864.47024
author: J. R. Quine
author: Junesang Choi
published in: Rocky Mountain Journal of Mathematics
publication date: 1997-06-26T00:00:00Z
full work available at URL: CONT26-2.html
review text: The authors use a factorization theorem for zeta regularized products to compute the functional determinant of the Laplacian on the sphere \(S^n\) with the standard metric. They also determine the functional determinant of the conformal Laplacian on an even-dimensional sphere. The computations in this paper agree with those of \textit{T. P. Branson} and \textit{B. Ørsted} [Proc. Am. Math. Soc. 113, No. 3, 669-682 (1991; Zbl 0762.47019)]. The authors list the values of the functional determinant for the ordinary Laplacian in dimensions \(n=2,3,4,5,6\) and for the conformal Laplacian in dimensions \(4,6,8\).
reviewed by: Peter B. Gilkey
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 944415
zbMATH Keywords: factorization theorem
zbMATH Keywords: zeta regularized products
zbMATH Keywords: functional determinant of the Laplacian
MaRDI profile type: Publication
OpenAlex ID: W2083714729
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cites work: Spectral functions, special functions and the Selberg zeta function
DOI: 10.1216/RMJM/1181072081
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description: scientific article; zbMATH DE number 944415