Measure and Integration: Publications 1997-2011

Front Matter....Pages i-xi
Image measures and the so-called image measure catastrophe....Pages 1-16
The product theory for inner premeasures....Pages 17-31
Measure and Integration: Mutual generation of outer and inner premeasures....Pages 33-56
Measure and Integration: Integral representations of isotone functionals....Pages 57-87
Measure and Integration: Comparison of old and new procedures....Pages 89-102
What are signed contents and measures?....Pages 103-126
Upper envelopes of inner premeasures....Pages 127-148
On the inner Daniell-Stone and Riesz representation theorems....Pages 149-163
Sublinear functionals and conical measures....Pages 165-173
Measure and Integration: An attempt at unified systematization....Pages 175-234
New facts around the Choquet integral....Pages 235-244
The (sub/super)additivity assertion of Choquet....Pages 245-271
Projective limits via inner premeasures and the true Wiener measure....Pages 273-312
Stochastic processes in terms of inner premeasures....Pages 313-342
New versions of the Radon-Nikodým theorem....Pages 343-352
The Lebesgue decomposition theorem for arbitrary contents....Pages 353-367
The new maximal measures for stochastic processes....Pages 369-390
Stochastic processes on the basis of new measure theory....Pages 391-404
New versions of the Daniell-Stone-Riesz representation theorem....Pages 405-418
Measure and Integral: New foundations after one hundred years....Pages 419-436
Fubini-Tonelli theorems on the basis of inner and outer premeasures....Pages 437-454
Measure and Integration: Characterization of the new maximal contents and measures....Pages 455-464
Notes on the projective limit theorem of Kolmogorov....Pages 465-477
Measure and Integration: The basic extension theorems....Pages 479-496
Measure Theory: Transplantation theorems for inner premeasures....Pages 497-504
Back Matter....Pages 505-E4