Publication
Integration of positive constructible functions against Euler characteristic and dimension
| dc.contributor.author | Edmundo, Mário | |
| dc.contributor.author | Cluckers, R. | |
| dc.date.accessioned | 2014-01-22T20:29:17Z | |
| dc.date.available | 2014-01-22T20:29:17Z | |
| dc.date.issued | 2007-02 | |
| dc.description.abstract | Following recent work of R. Cluckers and F. Loeser [Fonctions constructible et intégration motivic I, C. R. Math. Acad. Sci. Paris 339 (2004) 411–416] on motivic integration, we develop a direct image formalism for positive constructible functions in the globally subanalytic context. This formalism is generalized to arbitrary first-order logic models and is illustrated by several examples on the p-adics, on the Presburger structure and on o-minimal expansions of groups. Furthermore, within this formalism, we define the Radon transform and prove the corresponding inversion formula. | por |
| dc.description.sponsorship | Fund for Scientific Research - Flanders (Belgium); European Commission - Marie Curie European Individual Fellowship HPMF CT 2005-007121; FCT (Fundação para a Ciência e Tecnologia) program POCTI (Portugal/FEDER-EU); Fundação Calouste Gulbenkian. | por |
| dc.identifier.citation | Edmundo, Mário; Cluckers, R. - Integration of positive constructible functions against Euler characteristic and dimension. "Journal of Pure and Applied Algebra" [Em linha]. ISSN 0022-4049. Vol. 208, nº 2 (2007), p. 1-10 | por |
| dc.identifier.issn | 0022-4049 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/2856 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Elsevier B.V. | por |
| dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S002240490600048X | por |
| dc.subject | O-minimal structures | por |
| dc.subject | Euler integration | por |
| dc.title | Integration of positive constructible functions against Euler characteristic and dimension | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 10 | por |
| oaire.citation.startPage | 1 | por |
| oaire.citation.title | Journal of Pure and Applied Algebra | por |
| person.familyName | Edmundo | |
| person.givenName | Mário Jorge | |
| person.identifier | P-3392-2015 | |
| person.identifier.ciencia-id | 0310-CC24-B3B5 | |
| person.identifier.orcid | 0000-0002-3350-9271 | |
| rcaap.rights | openAccess | por |
| rcaap.type | article | por |
| relation.isAuthorOfPublication | 67cdf4c4-936f-4d36-b7e3-bfc20693582b | |
| relation.isAuthorOfPublication.latestForDiscovery | 67cdf4c4-936f-4d36-b7e3-bfc20693582b |