<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>On freely indecomposable measures</dc:title>
<dc:creator>Hari Bercovici</dc:creator><dc:creator>Jiun-Chau Wang</dc:creator>
<dc:subject>46L54</dc:subject><dc:subject>30D40</dc:subject><dc:subject>30E20</dc:subject><dc:subject>free convolution</dc:subject><dc:subject>indecomposable measure</dc:subject><dc:subject>analytic subordination</dc:subject><dc:subject>Nevanlinna representation</dc:subject>
<dc:description>We show that a probability measure is not a nontrivial free convolution if it puts no mass in an interval whose endpoints are atoms. The proof uses analytic subordination.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2008</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2008.57.3662</dc:identifier>
<dc:source>10.1512/iumj.2008.57.3662</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 57 (2008) 2601 - 2610</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>