Vorlesungen über Approximation im Komplexen
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
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Vorlesungen über Approximation im Komplexen

Vorlesungen über Approximation im Komplexen


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About the Book

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 Gießen abgehalten habe. Der zweite Teil, bestehend aus Kapitel III und IV, ging aus Vorträgen hervor, die ich an läßlich 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

Table of Contents:
Approximation Durch Reihenentwicklung und Interpolation.- Darstellung Komplexer Funktionen Durch Orthogonalreihen und Faber-Reihen.- Approximation Durch Interpolation.- Allgemeine Approximationssätze im Komplexen.- Approximation auf Kompakten Mengen.- Approximation auf Abgeschlossenen Mengen.


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Product Details
  • ISBN-13: 9783764311612
  • Publisher: Birkhauser Verlag AG
  • Publisher Imprint: Birkhauser Verlag AG
  • Height: 244 mm
  • No of Pages: 174
  • Returnable: N
  • ISBN-10: 3764311614
  • Publisher Date: 01 Jan 1980
  • Binding: Paperback
  • Language: German
  • Returnable: N
  • Width: 170 mm


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