… bodies. First we describe the strict convexity of the fiber bodies of the so called puffed … fiber
bodies of some smooth convex bodies. Finally we give a formula that allows to compute the …

… Some recent applications of fiber sums can also be found in [… new combinations of convex
bodies called the Lp fiber, Lp … for the Lp fiber and Lp chord combinations of convex bodies. In …

… The existence of mixed fiber polytopes was predicted in McD] and proved in … fiber polytope
to convex bodies by continuity. We present a direct proof of the existence of mixed fiber bodies…

… -space (usually convex bodies, or even ellipsoids) to which we make correspond subsets in
phase space; these are obtained using the notion of polar dually from convex geometry. Our …

… convex bodies (employing convex polynomials) is dense in ~. He also indicated how to find
polynomial convex bodies approximating any given convex body. … set of convex bodies with …

… polytopes for more general convex bodies. After giving an overview of the properties of
the fiber bodies, we focus on three particular classes of convex bodies. ... …

… is devoted to reconstruction of convex bodies, Section 9 focuses on a problem from stereology,
that of reconstructing an unknown directional measure of a stationary fiber process from a …

… More generally, given an integer n>~2, is there a finite-dimensional convex body which is …
n-dimensional convex bodies? (By convex body we mean here a bounded closed convex set.) …

… function of ξ, t which analytically extends AK(ξ, t) in a containing ∞ domain of complex t, we
consider a locally trivial homological vector bundle, which assigns to each t ∈ C a fiber of the …

… the notion of convexity of a family of convex bodies located on … Given a convex (possibly
empty) set Δα in each Vα, we say … Y is convex over the projection of itself and has closed fibers. …