= Positive-definite function on a group
{wiki=Positive-definite_function_on_a_group}
A positive-definite function on a group is a mathematical concept that arises in the context of representation theory, harmonic analysis, and probability theory. Specifically, a function defined on a group is called positive-definite if it satisfies certain properties related to sums and inner products. Formally, let \\( G \\) be a group, and let \\( f: G \\to \\mathbb\{C\} \\) (or \\( \\mathbb\{R\} \\)) be a function.
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