A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces
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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2020 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2020
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211003 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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 |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862637427483475968 |
|---|---|
| author | Barbosa, Victor S. Menegatto, Valdir A. |
| author_facet | Barbosa, Victor S. Menegatto, Valdir A. |
| citation_txt | 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 |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 definite functions and their many extensions. Necessary and sufficient conditions for the strict positive definiteness of the models are provided when the spaces are metric.
|
| first_indexed | 2026-03-15T00:44:36Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211003 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T00:44:36Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Barbosa, Victor S. Menegatto, Valdir A. 2025-12-22T09:23:24Z 2020 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 1815-0659 2020 Mathematics Subject Classification: 42A82; 43A35 arXiv:2006.12217 https://nasplib.isofts.kiev.ua/handle/123456789/211003 https://doi.org/10.3842/SIGMA.2020.117 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 definite functions and their many extensions. Necessary and sufficient conditions for the strict positive definiteness of the models are provided when the spaces are metric. The authors express their gratitude to the anonymous referees for their comments and remarks, which led to an improved version of the paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces Article published earlier |
| spellingShingle | A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces Barbosa, Victor S. Menegatto, Valdir A. |
| title | A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces |
| title_full | A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces |
| title_fullStr | A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces |
| title_full_unstemmed | A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces |
| title_short | A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces |
| title_sort | gneiting-like method for constructing positive definite functions on metric spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211003 |
| work_keys_str_mv | AT barbosavictors agneitinglikemethodforconstructingpositivedefinitefunctionsonmetricspaces AT menegattovaldira agneitinglikemethodforconstructingpositivedefinitefunctionsonmetricspaces AT barbosavictors gneitinglikemethodforconstructingpositivedefinitefunctionsonmetricspaces AT menegattovaldira gneitinglikemethodforconstructingpositivedefinitefunctionsonmetricspaces |