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Vorlesungen Über Approximation Im Komplexen by Gaier

Vorlesungen Über Approximation Im Komplexen

by Gaier
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Book cover type: Paperback
  • ISBN13: 9783764311612
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Birkhauser
  • Publisher Imprint: Birkhauser
  • Publication Date:
  • Pages: 174
  • Original Price: USD 49.99
  • Language: German
  • Edition: 1980
  • Item Weight: 291 grams
  • BISAC Subject(s): General

Das vorliegende Buch besteht im wesentlichen aus zwei Teilen, die aus verschiede- nen Anlässen entstanden sind und die sich an verschiedene Interessenten wenden. Der erste Teil, bestehend aus Kapitel I und 11, enthält die klassischen Bestandteile der Approximation im Komplexen. Hier kommen die mehr konstruktiven Ge- sichtspunkte zur Darstellung: Die Approximation einer Funktion durch Reihen- entwicklung (nach Orthogonalpolynomen oder nach Faber-Polynomen) sowie durch Interpolation. Grundlage hierfür war eine einsemestrige Vorlesung, die ich mehrfach in Gie en abgehalten habe. Der zweite Teil, bestehend aus Kapitel III und IV, ging aus Vorträgen hervor, die ich an lä lich einer Lerntagung in Oberwolfach zum Thema, Approximation im Komplexen' und bei kurzen Gastaufenthalten in Stockholm und Pasadena gehal- ten habe. Ihr Inhalt sollte einen Überblick geben über wichtige Entwicklungen seit dem Satz von Mergelyan. Hier handelt es sich zunächst um allgemeine Sätze über Approximation auf kompakten Mengen durch Polynome und rationale Funktionen. Danach werden die Ergebnisse über die Approximation durch me- morphe, rationale und holomorphe Funktionen auf kompakten oder nur abge- schlossenen Mengen (in

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