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Wichita State University

Isotropic positive definite functions on spheres generated from those in Euclidean spaces

Abstract

In this thesis, author have reviewed the classical characterizations of isotropic positive definite functions on Euclidean spaces and spheres, and had applied them to develop a construction of isotropic positive de nite functions on spheres. However, this construction only works when the dimension of the sphere is odd. The next work is to develop isotropic positive de nite functions on all spheres.

Author and committee

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Author
  • Nie, Zhihui

Identifiers

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Identifier
hdl:10057/16383
OAI identifier oai:identifier
oai:soar.wichita.edu:10057/16383

Chain of custody

source
Harvested from
Wichita State University
Base URL
soar.wichita.edu/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
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citation

Nie, Zhihui. Isotropic positive definite functions on spheres generated from those in Euclidean spaces. 2019.