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Symmetrically Positive Definite Functions

<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)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/20352
Date09 1900
CreatorsTang, Lee-Man
ContributorsStewart, J., Mathematics
Source SetsMcMaster University
Languageen_US
Detected LanguageEnglish
TypeThesis

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