Email this article Strictly Positive Definite Functions on the Space of Infinite Diagonal Matrices
- Authors: Rabaoui M.1,2,3
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Affiliations:
- 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
- Issue: Vol 106, No 5-6 (2019)
- Pages: 966-969
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151959
- DOI: https://doi.org/10.1134/S0001434619110324
- ID: 151959
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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.
About the authors
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
Author for correspondence.
Email: mrabaoui@kfu.edu.sa
Saudi Arabia, Al-Ahsa, 31982; Nabeul, 8000; El Manar Tunis, 2092
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