Strict positive definiteness on spheres via disk polynomials

V. A. Menegatto and A. P. Peron

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 31, 1-10

Abstract:

We characterize complex strictly positive definite functions on spheres in two cases, the unit sphere of ℂ q , q ≥ 3 , and the unit sphere of the complex ℓ 2 . The results depend upon the Fourier-like expansion of the functions in terms of disk polynomials and, among other things, they enlarge the classes of strictly positive definite functions on real spheres studied in many recent papers.

Date: 2002
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/31/835852.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/31/835852.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:835852

DOI: 10.1155/S0161171202108076

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().