<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Semi-Valuations on $BV(\\mathbb R^n)$</dc:title>
<dc:creator>Tuo Wang</dc:creator>
<dc:subject>46B20 (46E35</dc:subject><dc:subject>52A21</dc:subject><dc:subject>52B45)</dc:subject><dc:subject>semi-valuation</dc:subject><dc:subject>minkowski problem</dc:subject>
<dc:description>All affinely covariant convex-body-valued semi-valuations on functions of bounded variation on $\mathbb{R}^n$ are completely classified. It is shown that there is a unique such semi-valuation for Blaschke addition. This semi-valuation turns out to be the operator which associates with each function its extended LYZ body.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2014</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2014.63.5365</dc:identifier>
<dc:source>10.1512/iumj.2014.63.5365</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 63 (2014) 1447 - 1465</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>