| Full text | |
| Author(s): |
Massa, E.
;
Peron, A. P.
;
Piantella, A. C.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | ANALYSIS MATHEMATICA; v. 43, n. 1, p. 89-98, MAR 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper we obtain some results about derivatives of positive definite functions in a{''}e (m) , using known properties of positive definite kernels. We prove, by purely algebraic methods, that certain derivatives of such functions are also positive definite and we show that simple conditions on their even order derivatives at the origin strongly determine their global properties. In particular, one can obtain an estimate for f and its derivatives at any point and a condition for real analyticity, using only the value of these derivatives at the origin. (AU) | |
| FAPESP's process: | 14/25796-5 - (Strict) positive definite functions and differentiability |
| Grantee: | Ana Paula Peron |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 14/25398-0 - Elliptic equations and systems with several kinds of interaction with the spectrum |
| Grantee: | Eugenio Tommaso Massa |
| Support Opportunities: | Regular Research Grants |