
handle: 11375/20352
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.
Master of Science (MSc)
Thesis
symmetrically, positive, definite, functions, theorems
symmetrically, positive, definite, functions, theorems
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