Measure Theory
Titre:
Measure Theory
ISBN (Numéro international normalisé des livres):
9781489903990
Auteur personnel:
Edition:
1st ed. 1980.
PRODUCTION_INFO:
Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 1980.
Description physique:
IX, 373 p. online resource.
Table des matières:
1. Measures -- 2. Functions and Integrals -- 3. Convergence -- 4. Signed and Complex Measures -- 5. Product Measures -- 6. Differentiation -- 7. Measures on Locally Compact Spaces -- 8. Polish Spaces and Analytic Sets -- 9. Haar Measure -- Appendices -- A. Notation and set theory -- B. Algebra -- C. Calculus and topology in R -- D. Topological spaces and metric spaces -- E. The Bochner integral -- Index of notation.
Extrait:
Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups. Measure Theory provides a solid background for study in both harmonic analysis and probability theory and is an excellent resource for advanced undergraduate and graduate students in mathematics. The prerequisites for this book are courses in topology and analysis.
Auteur collectif ajouté:
Langue:
Anglais