Handbook of measure theory. Volume II (©2002)

• Record Type: Book
• Further Information: Note: Edited by E. Pap.
• Other Names: Pap, Endre
• Contents: Preface; Part 1, Classical measure theory ; 1. History of measure theory (Dj. Paunić); 2. Some elements of the classical measure theory (E. Pap); 3. Paradoxes in measure theory (M. Laczkovich); 4. Convergence theorems for set functions (P. de Lucia, E. Pap); 5. Differentiation (B. S. Thomson); 6. Radon-Nikodým theorems (A. Volčič, D. Candeloro); 7. One-dimensional diffusions and their convergence in; distribution (J. Brooks); ; Part 2, Vector measures ; 8. Vector Integration in Banach Spaces and application to; Stochastic Integration (N. Dinculeanu); 9. The Riesz Theorem (J. Diestel, J. Swart); 10. Stochastic processes and; stochastic integration in Banach spaces (J. Brooks); Part 3, Integration theory ; 11. Daniell integral and related topics (M. D. Carillo); 12. Pettis integral (K. Musial); 13. The Henstock-Kurzweil integral (B. Bongiorno); 14. Integration of multivalued functions (Ch. Hess); ; Part 4, Topological aspects of measure theory ; 15. Density topologies (W. Wilczyński); 16. FN-topologies and group-valued measures (H. Weber); 17. On products of topological measure spaces (S. Grekas); 18. Perfect measures and related topics (D. Ramachandran); ; Part 5, Order and measure theory ; 19. Riesz spaces and ideals of measurable functions (M. Väth); 20. Measures on Quantum Structures (A; Dvurečenskij); 21. Probability on MV-algebras (D. Mundici, B. Riečan); 22. Measures on clans and on MV-algebras (G. Barbieri, H. Weber); 23. Triangular norm-based measures (D. Butnariu, E. P. Klement); ; Part 6, Geometric measure theory ; ; 24. Geometric measure theory: selected concepts, results and; problems (M. Chlebik); 25. Fractal measures (K. J. Falconer). ; ; Part 7, Relation to transformation and duality ; ; 26. Positive and complex Radon measures on locally compact; Hausdorff spaces (T. V. Panchapagesan); 27. Measures on algebraic-topological structures (P. Zakrzewski); 28. Liftings (W. Strauss, N. D. Macheras, K. Musial); 29. Ergodic theory (F. Blume); 30. Generalized derivative (E. Pap, A. Takači); ; Part 8, Relation to the foundations of mathematics ; ; 31. Real valued measurability, some set theoretic aspects (A; Jovanović); 32. Nonstandard Analysis and Measure Theory (P. Loeb); ; ; ; Part 9, Non-additive measures ; ; 33. Monotone set-functions-based integrals (P. Benvenuti, R; Mesiar, D. Vivona); ; 34. Set functions over finite sets: transformations and integrals; (M. Grabisch); ; 35. Pseudo-additive measures and their applications (E. Pap); ; 36. Qualitative possibility functions and integrals (D. Dubois, H; Prade); ; 37. Information measures (W. Sander);
• Publisher Details: Amsterdam Boston : North Holland/Elsevier
• Publication Date: 2002
• Copyright Date: 2002
• Extent: 1 online resource (1 volume)
• Subjects: 515/.42; Measure theory; Mesure, Théorie de la; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Measure theory; Electronic books
• Languages: English
• ISBNs: 9780080533094; 0080533094
• Notes: Note: Includes bibliographical references and indexes.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.