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 action of the product group K = U × U, where U is the infinite dimensional unitary group.

作者简介

M. Rabaoui

Department of Mathematics and Statistics, College of Science; Institut préparatoire aux études d’ingenieur de Nabeul; Laboratoire d’Analyse Mathématique et Applications LR11ES1 1, Faculte des Sciences de Tunis

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Email: mrabaoui@kfu.edu.sa
沙特阿拉伯, Al-Ahsa, 31982; Nabeul, 8000; El Manar Tunis, 2092

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