| Texto completo | |
| Autor(es): |
Massa, E.
;
Peron, A. P.
;
Piantella, A. C.
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | ANALYSIS MATHEMATICA; v. 43, n. 1, p. 89-98, MAR 2017. |
| Citações Web of Science: | 0 |
| Resumo | |
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) | |
| Processo FAPESP: | 14/25796-5 - Positividade (estrita) definida e diferenciabilidade |
| Beneficiário: | Ana Paula Peron |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |
| Processo FAPESP: | 14/25398-0 - Equações e sistemas elípticos com vários tipos de interação com o espectro |
| Beneficiário: | Eugenio Tommaso Massa |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |