<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>Treves curves and the Szego kernel</dc:title>
<dc:creator>Gabor Francsics</dc:creator><dc:creator>Nicholas Hanges</dc:creator>
<dc:subject>Szego kernel</dc:subject><dc:subject>several complex variables</dc:subject><dc:subject>weakly pseudoconvex domain</dc:subject><dc:subject>analytic wave front set</dc:subject>
<dc:description>The main objective here is the calculation of the off diagonal microlocal singularities of $\mathcal{S}$, the Szeg\&quot;o kernel of the domain $\mathcal{D} = \{(z,w) \in \mathbb{C}^2 : \mathfrak{I}w &gt; (\mathfrak{R}z)^m\}$.  Here $M$ is a positive, even integer. The analytic and Gevrey wave front sets of $\mathcal{S}$ are described precisely in terms of the Treves curves.  These curves are determined by the symplectic geometry of the natural CR structure on the boundary of $\mathcal{D}$.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>1998</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.1998.47.1505</dc:identifier>
<dc:source>10.1512/iumj.1998.47.1505</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 47 (1998) 995 - 1010</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>