On Functions of Several Split-Quaternionic Variables
Alesker studied a relation between the determinant of a quaternionic Hessian of a function and a specific complex volume form. In this note we show that similar relation holds for functions of several split-quaternionic variables and point to some relations with geometry.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/3654530 |
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| _version_ | 1850171244742180864 |
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| author | Gueo Grantcharov Camilo Montoya |
| author_facet | Gueo Grantcharov Camilo Montoya |
| author_sort | Gueo Grantcharov |
| collection | DOAJ |
| description | Alesker studied a relation between the determinant of a quaternionic Hessian of a function and a specific complex volume form. In this note we show that similar relation holds for functions of several split-quaternionic variables and point to some relations with geometry. |
| format | Article |
| id | doaj-art-9d69d01ff7d14613b2fd967c5d7b965e |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-9d69d01ff7d14613b2fd967c5d7b965e2025-08-20T02:20:18ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/36545303654530On Functions of Several Split-Quaternionic VariablesGueo Grantcharov0Camilo Montoya1Department of Mathematics and Statistics, Florida International University, Miami, FL 33199, USADepartment of Mathematics, Indiana University, Bloomington, IN 47405, USAAlesker studied a relation between the determinant of a quaternionic Hessian of a function and a specific complex volume form. In this note we show that similar relation holds for functions of several split-quaternionic variables and point to some relations with geometry.http://dx.doi.org/10.1155/2016/3654530 |
| spellingShingle | Gueo Grantcharov Camilo Montoya On Functions of Several Split-Quaternionic Variables Advances in Mathematical Physics |
| title | On Functions of Several Split-Quaternionic Variables |
| title_full | On Functions of Several Split-Quaternionic Variables |
| title_fullStr | On Functions of Several Split-Quaternionic Variables |
| title_full_unstemmed | On Functions of Several Split-Quaternionic Variables |
| title_short | On Functions of Several Split-Quaternionic Variables |
| title_sort | on functions of several split quaternionic variables |
| url | http://dx.doi.org/10.1155/2016/3654530 |
| work_keys_str_mv | AT gueograntcharov onfunctionsofseveralsplitquaternionicvariables AT camilomontoya onfunctionsofseveralsplitquaternionicvariables |