Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0864.47024
Quine, J.R.; Choi, J.
Zeta regularized products and functional determinants on spheres. (English)
[J] Rocky Mt. J. Math. 26, No.2, 719-729 (1996). ISSN 0035-7596

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 {\it T. P. Branson} and {\it 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 $4,6,8$.
[P.Gilkey (Eugene)]

MSC 2000:: *47F05 Partial differential operators
58J50 Spectral problems; spectral geometry; scattering theory

Keywords: factorization theorem; zeta regularized products; functional determinant of the Laplacian

Citations: Zbl 0762.47019

Cited in: Zbl 0946.11021

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]