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Title: Integration of positive constructible functions against Euler characteristic and dimension
Authors: Cluckers, Raf ×
Edmundo, Mario #
Issue Date: 2007
Publisher: Elsevier science bv
Series Title: Journal of Pure and Applied Algebra vol:208 issue:2 pages:691-698
Abstract: Following recent work of R. Cluckers; and F. Loeser [Fonctions constructible et integration motivic 1, 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. (c) 2006 Elsevier B.V. All rights reserved.
URI: 
ISSN: 0022-4049
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Algebra Section
× corresponding author
# (joint) last author

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