<?xml version="1.0" encoding="utf-8"?>
<export-example>
  <doc>
    <id>7744</id>
    <completedYear/>
    <publishedYear>2000</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>697</pageFirst>
    <pageLast>712</pageLast>
    <pageNumber/>
    <edition/>
    <issue>4</issue>
    <volume>10</volume>
    <type>article</type>
    <publisherName>Springer</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">The automorphism space Σ(G) of a domain without punctiform prime ends</title>
    <abstract language="eng">Let G ⊆ ℂ be a simply connected domain and let Σ (G) be its group of conformal automorphisms with the topology of uniform chordal convergence on G.&#13;
&#13;
In 1984 Gaier raised the question whether the connectedness of the space Σ (G) implies that the domain G has only punctiform prime ends. As a contribution to answering this question in this paper the authors use suitable spike Junctions to construct a bounded domain without any punctiform prime end such that its automorphism space Σ (G) is not discrete, but totally disconnected.</abstract>
    <parentTitle language="eng">The Journal of Geometric Analysis</parentTitle>
    <identifier type="issn">1050-6926</identifier>
    <identifier type="doi">10.1007/BF02921993</identifier>
    <enrichment key="BegutachtungStatus">peer-reviewed</enrichment>
    <enrichment key="opus.doi.autoCreate">false</enrichment>
    <enrichment key="opus.urn.autoCreate">true</enrichment>
    <licence>Keine Lizenz - Es gilt das deutsche Urheberrecht: § 53 UrhG</licence>
    <author>Wolfgang Lauf</author>
    <author>G. Schmieder</author>
    <author>I. A. Volynec</author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>automorphism group</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>boundary behavior</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>complex approximation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>conformal mapping</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>connectedness</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>total disconnectedness</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>prime ends</value>
    </subject>
    <collection role="institutes" number="FakIM">Fakultät Informatik und Mathematik</collection>
    <collection role="othpublikationsherkunft" number="">Externe Publikationen</collection>
  </doc>
</export-example>
