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Zakai / Üstünel

Transformation of Measure on Wiener Space

Medium: Buch
ISBN: 978-3-540-66455-0
Verlag: Springer Berlin Heidelberg
Erscheinungstermin: 29.11.1999
Lieferfrist: bis zu 10 Tage
This unique book on the subject addresses fundamental problems and will be the standard reference for a long time to come. The authors have different scientific origins and combine these successfully, creating a text aimed at graduate students and researchers that can be used for courses and seminars.

Produkteigenschaften


  • Artikelnummer: 9783540664550
  • Medium: Buch
  • ISBN: 978-3-540-66455-0
  • Verlag: Springer Berlin Heidelberg
  • Erscheinungstermin: 29.11.1999
  • Sprache(n): Englisch
  • Auflage: 2000
  • Serie: Springer Monographs in Mathematics
  • Produktform: Gebunden, HC runder Rücken kaschiert
  • Gewicht: 1380 g
  • Seiten: 298
  • Format (B x H x T): 160 x 241 x 22 mm
  • Ausgabetyp: Kein, Unbekannt

Autoren/Hrsg.

Autoren

Zakai, Moshe

Üstünel, A.Süleyman

1. Some Background Material and Preliminary Results.- 2. Transformation of Measure Induced by Adapted Shifts.- 3. Transformation of Measure Induced by General Shifts.- 4. The Sard Inequality.- 5. Transformation of Measure Under Anticipative Flows.- 6. Monotone Shifts.- 7. Generalized Radon-Nikodym Derivatives.- 8. Random Rotations.- 9. The Degree Theorem on Wiener Space.- A. Some Inequalities.- A.1 Gronwall and Young Inequalities.- A.1.1 Gronwall Inequality.- A.1.2 Young Inequality.- B. An Introduction to Malliavin Calculus.- B.1 Introduction to Abstract Wiener Space.- B.2 An Introduction to Analysis on Wiener Space.- B.3 Construction of Sobolev Derivatives.- B.4 The Divergence.- B.5 Ornstein-Uhlenbeck Operator and Meyer Inequalities.- B.6 Some Useful Lemmas.- B.7 Local Versus Global Differentiability of Wiener Functionals.- B.8 Exponential Integrability of Wiener Functionals and Poincaré Inequality.- Notes and References.- References.- Notations.