Theorie Der Funktionen Mehrerer Komplexer Veränderlichen

Name: Theorie Der Funktionen Mehrerer Komplexer Veränderlichen
Brand: Springer
SKU: 9783540050865
Price: 3432.0 INR
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by W. Barth , Heinrich Behnke , R. Remmert

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ISBN13: 9783540050865
Binding: Hardcover
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: January 1, 1970
Pages: 228
Original Price: EUR 46.72
Language: German
Edition: 2nd ed.
Item Weight: 527 grams
BISAC Subject(s): General

About The Book

Über den Begriff des analytischen Funktionselementes.- I. Bereiche über dem erweiterten Raume.- 1. Der erweiterte Raum.- 2. Bereiche.- 3. Rand- und Verzweigungspunkte.- 4. Funktionen und Bereiche.- 5. Analytische Abbildungen.- II. Geometrische Grundlagen.- 1. m-dimensionale Mannigfaltigkeiten.- 2. Analytische (charakteristische) Flächen.- 3. Hyperflächen.- 4. Spezielle Bereiche über dem R4.- Anhang zu Kap. I und II. H. Holmann: Konstruktion und Theorie der komplexen Räume.- III. Darstellung regulärer Funktionen durch elementare Reihen.- 1. Der Bereich der absoluten Konvergenz von Potenzreihen.- 2. Potenzreihen und das Integral von Cauchy.- 3. Der invariante Konvergenzkörper.- 4. Die Entwicklungen nach je einer Veränderlichen.- 5- Über superharmonische Funktionen.- Anhang zu Kap. III. K. Spallek: Funktionalanalytische Fortsetzungsmethoden.- IV. Singuläre Mannigfaltigkeiten.- 1. Der Kontinuitätssatz und seine unmittelbaren Folgerungen.- 2. (2n?2)-dimensionale singuläre Mannigfaltigkeiten.- 3. Natürliche Grenzen.- Anhang zu Kap. IV. H. Kerner: Das Levische Problem.- V. Die Verteilung der Nullstellen und außerwesentlichen Singularitäten.- 1. Der Vorbereitungssatz.- 2. Null- und Polstellenflachen.- 3. Meromorphe Funktionen im erweiterten Raume.- 4. Funktionen zu vorgegebenen Pol- und Nullstellenflächen.- Anhang zu Kap. V. G. Scheja: Cartansche Verheftungstheorie.- VI. Theorie der Regularitätsbereiche und Regularitätshüllen.- 1. Der Hauptsatz über die gleichzeitige Fortsetzbarkeit.- 2. Eigenschaften der Regularitätsbereiche und Regularitätshüllen.- 3. Konvergenz- und Normalitätsbereiche.- 4. Der Rungesche Satz und nichtschlichte Regularitatshüllen schlichter Bereiche.- 5.Konvergenzprobleme der Regularitätshüllen.- Anhang zu Kap. VI. O. Forster: Holomorphiegebiete.- VII. Abbildungstheorie.- 1. Eindeutigkeitssätze.- 2. Folgen von Abbildungen.- 3. Innere Abbildungen.- 4. Maximalteiler.- 5. Der Cartansche Abbildungssatz.- 6. Die mittelpunktstreuen Abbildungen der eigentlichen kreissymmetrischen Bereiche.- 7. Die nichtmittelpunktstreuen Abbildungen kreissymmetrischer Bereiche.- 8. Die Metrik von Carathéodory.- 9. Verschiedene Fragen zur Abbildungstheorie.- 10. Die Bergmannsche Abbildungstheorie.- Anhang zu Kap. VII. W. Kaup: Abbildungstheorie.- Literatur zu [BT].- Literatur zu den Anhängen.- Zusammenstellung wichtiger Begriffe zu [BT].- Stichwortverzeichnis für die Anhänge.

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