Mixed measures and functionals of translative integral geometry

Authors
Citation
W. Weil, Mixed measures and functionals of translative integral geometry, MATH NACHR, 223, 2001, pp. 161-184
Citations number
25
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
223
Year of publication
2001
Pages
161 - 184
Database
ISI
SICI code
0025-584X(2001)223:<161:MMAFOT>2.0.ZU;2-F
Abstract
The iterated translative versions of classical kinematic integral formulae for intrinsic volumes and curvature measures have led to a series of mixed functionals and mixed measures of convex bodies. Here, we present a systema tic study of the integral geometric relations which hold for these mixed me asures and functionals. We give new formulae involving halfspaces, reductio n formulae and some spherical representations and also generalize some earl ier results.