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Strictly Positive Definite Functions on the Space of Infinite Diagonal Matrices

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In this paper, using a Bochner-type theorem, we establish a characterization of strictly positive definite functions on the topological direct limit space D∞ of real diagonal matrices relatively to the… Click to show full abstract

In this paper, using a Bochner-type theorem, we establish a characterization of strictly positive definite functions on the topological direct limit space D∞ of real diagonal matrices relatively to the action of the product group K∞ = U∞ × U∞, where U∞ is the infinite dimensional unitary group.

Keywords: strictly positive; definite functions; diagonal matrices; positive definite; space

Journal Title: Mathematical Notes
Year Published: 2019

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