<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" 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:creator>Meylan, Francine</dc:creator>
  <dc:date>2008</dc:date>
  <dc:description xmlns:ns0="xml" ns0:lang="en">The Schwarz reflection principle in one complex variable can be stated as follows. Let &lt;i&gt;M&lt;/i&gt; and &lt;i&gt;M&lt;/i&gt;' be two real analytic curves in ℂ and &lt;i&gt;f&lt;/i&gt; a holomorphic function defined on one side of &lt;i&gt;M&lt;/i&gt;, extending continuously through &lt;i&gt;M&lt;/i&gt;, and mapping &lt;i&gt;M&lt;/i&gt; into &lt;i&gt;M&lt;/i&gt;'. Then &lt;i&gt;f&lt;/i&gt; has a holomorphic extension across &lt;i&gt;M&lt;/i&gt;. In this paper, we extend this classical theorem to higher complex dimensions for a class of hypersurfaces of infinite type.</dc:description>
  <dc:format>application/pdf</dc:format>
  <dc:identifier>https://folia.unifr.ch/global/documents/300978</dc:identifier>
  <dc:identifier>https://folia.unifr.ch/documents/300978/files/meylan_rrc.pdf</dc:identifier>
  <dc:language>eng</dc:language>
  <dc:relation>info:eu-repo/semantics/altIdentifier/doi/10.1080/03605300802224680</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>License undefined</dc:rights>
  <dc:source>Communications in Partial Differential Equations. - 2008, vol. 33, no. 9, p. 1638 - 1653</dc:source>
  <dc:subject xmlns:ns1="xml" ns1:lang="en">CR mappings</dc:subject>
  <dc:subject xmlns:ns2="xml" ns2:lang="en">infinite type</dc:subject>
  <dc:subject xmlns:ns3="xml" ns3:lang="en">real analytic hypersurfaces</dc:subject>
  <dc:subject>info:eu-repo/classification/udc/51</dc:subject>
  <dc:title xmlns:ns4="xml" ns4:lang="en">A regularity result for CR mappings between infinite type hypersurfaces</dc:title>
  <dc:type>http://purl.org/coar/resource_type/c_6501</dc:type>
</oai_dc:dc>