A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2020
• Автори: Barbosa, Victor S., Menegatto, Valdir A.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2020
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211003
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces. Victor S. Barbosa and Valdir A. Menegatto. SIGMA 16 (2020), 117, 15 pages

This paper is concerned with the construction of positive definite functions on a Cartesian product of quasi-metric spaces using generalized Stieltjes and complete Bernstein functions. The results we prove are aligned with a well-established method of T. Gneiting to construct space-time positive def...