<p> In this thesis we study the representation theorems for evenly positive definite functions on Euclidean spaces. A generalization of the concept of evenness on R^n to a concept of symmetry on any locally compact abelian group is given. In addition, a result analogous to the Weil-Povzner-Raikov Theorem is obtained for the representation of symmetrically positive definite functions on locally compact abelian groups.</p> / Thesis / Master of Science (MSc)
Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/20352 |
Date | 09 1900 |
Creators | Tang, Lee-Man |
Contributors | Stewart, J., Mathematics |
Source Sets | McMaster University |
Language | en_US |
Detected Language | English |
Type | Thesis |
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