Handbook of Measure Theory

PrefacePart 1, Classical measure theory1. 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 indistribution (J. Brooks).Part 2, Vector measures8. Vector Integration in Banach Spaces and application toStochastic 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 theory11. 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 theory15. 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 theory19. 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 theory24. Geometric measure theory: selected concepts, results andproblems (M. Chlebik).25. Fractal measures (K. J. Falconer).Part 7, Relation to transformation and duality26. Positive and complex Radon measures on locally compactHausdorff 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 mathematics31. Real valued measurability, some set theoretic aspects (A.Jovanović).32. Nonstandard Analysis and Measure Theory (P. Loeb).Part 9, Non-additive measures33. 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).