Counterexamples in Measure and Integration

; Franziska Kuhn

Explore measure and integration theory by asking 'What can go wrong if...' with this selection of over 300 counterexamples. Les mer
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Paperback
Legg i
Vår pris: 472,-

(Paperback) Fri frakt!
Leveringstid: Sendes innen 7 virkedager

Om boka

Explore measure and integration theory by asking 'What can go wrong if...' with this selection of over 300 counterexamples.

Fakta

Innholdsfortegnelse

Preface; User's guide; List of topics and phenomena; 1. A panorama of Lebesgue integration; 2. A refresher of topology and ordinal numbers; 3. Riemann is not enough; 4. Families of sets; 5. Set functions and measures; 6. Range and support of a measure; 7. Measurable and non-measurable sets; 8. Measurable maps and functions; 9. Inner and outer measure; 10. Integrable functions; 11. Modes of convergence; 12. Convergence theorems; 13. Continuity and a.e. continuity; 14. Integration and differentiation; 15. Measurability on product spaces; 16. Product measures; 17. Radon-Nikodym and related results; 18. Function spaces; 19. Convergence of measures; References; Index.

Om forfatteren

Rene L. Schilling is Professor of Probability Theory at Technische Universitat Dresden. His research focuses on stochastic analysis and the theory of stochastic processes. Franziska Kuhn is Research Assistant at Technische Universitat Dresden, where she finished her Ph.D. in 2016. She is interested in the interplay of probability theory and analysis, with a focus on jump processes and non-local operators.