Publication
On differentiability and analyticity of positive definite functions
| dc.contributor.author | Buescu, Jorge | |
| dc.contributor.author | Paixão, António | |
| dc.date.accessioned | 2011-11-28T13:23:09Z | |
| dc.date.available | 2011-11-28T13:23:09Z | |
| dc.date.issued | 2011-03-01 | |
| dc.description.abstract | We derive a set of differential inequalities for positive definite functions based on previous results derived for positive definite kernels by purely algebraic methods. Our main results show that the global behavior of a smooth positive definite function is, to a large extent, determined solely by the sequence of even-order derivatives at the origin: if a single one of these vanishes then the function is constant; if they are all non-zero and satisfy a natural growth condition, the function is real-analytic and consequently extends holomorphically to a maximal horizontal strip of the complex plane. | por |
| dc.identifier.citation | Buescu J, Paixão A C. On differentiability and analyticity of positive definite functions. Journal of Mathemical Analysis and Applications. 2010; 375 (1): 336-341. | por |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/674 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Academic Press Inc Elsevier Science | por |
| dc.relation.ispartofseries | 1; | |
| dc.subject | Positive definite functions | por |
| dc.subject | Inequalities | por |
| dc.subject | Analytic functions | por |
| dc.title | On differentiability and analyticity of positive definite functions | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | San Diego | por |
| oaire.citation.endPage | 341 | por |
| oaire.citation.issue | 375 | por |
| oaire.citation.startPage | 336 | por |
| oaire.citation.title | Journal of Mathemical Analysis and Applications | por |
| person.familyName | Buescu | |
| person.familyName | Paixão | |
| person.givenName | Jorge | |
| person.givenName | António | |
| person.identifier.ciencia-id | 631B-B789-52D5 | |
| person.identifier.orcid | 0000-0001-5444-5089 | |
| person.identifier.orcid | 0000-0003-3158-4195 | |
| person.identifier.scopus-author-id | 6507693814 | |
| rcaap.rights | restrictedAccess | por |
| rcaap.type | article | por |
| relation.isAuthorOfPublication | ad68e200-7e35-40ac-bfb2-071a53e19514 | |
| relation.isAuthorOfPublication | 794cf4b2-ce83-40ab-bc77-d53913d6a851 | |
| relation.isAuthorOfPublication.latestForDiscovery | 794cf4b2-ce83-40ab-bc77-d53913d6a851 |
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