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- W2034996971 abstract "A constructible function ϕ on a real analytic manifold X is a Z -valued function such that the partition X=⨆ mϵZ ϕ -1 (m) is a subanalytic stratification. Here, we define new operations on constructible functions (inverse or direct images, duality) and prove some theorems related to these operations (e.g., duality commutes to direct image). As an application we solve the convolution equation ϕ ∗ ψ = α , when ϕ is the characteristic function of a convex compact set. This problem which seems to have some utility in robotics, was first considered by Guibas et al, and this paper may be considered as a new approach, and an extension to higher dimension of the material contained in their paper." @default.
- W2034996971 created "2016-06-24" @default.
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- W2034996971 date "1991-07-01" @default.
- W2034996971 modified "2023-10-14" @default.
- W2034996971 title "Operations on constructible functions" @default.
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- W2034996971 doi "https://doi.org/10.1016/0022-4049(91)90131-k" @default.
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