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Characterization of Minkowski measurability in terms of surface area

โœ Scribed by Rataj, Jan; Winter, Steffen


Book ID
118200439
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
267 KB
Volume
400
Category
Article
ISSN
0022-247X

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A Characterization of Affine Surface Are
โœ Monika Ludwig; Matthias Reitzner ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 239 KB

We show that every upper semicontinuous and equi-affine invariant valuation on the space of d-dimensional convex bodies is a linear combination of affine surface area, volume, and the Euler characteristic.