2012

Measure and Integration

Publications 1997-2011

Authors:

ISBN: 978-3-0348-0381-6 (Print) 978-3-0348-0382-3 (Online)

Table of contents (25 chapters)

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  1. Front Matter

    Pages i-xi

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    Book Chapter

    Pages 1-16

    Image measures and the so-called image measure catastrophe

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    Book Chapter

    Pages 17-31

    The product theory for inner premeasures

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    Book Chapter

    Pages 33-56

    Measure and Integration: Mutual generation of outer and inner premeasures

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    Book Chapter

    Pages 57-87

    Measure and Integration: Integral representations of isotone functionals

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    Book Chapter

    Pages 89-102

    Measure and Integration: Comparison of old and new procedures

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    Book Chapter

    Pages 103-126

    What are signed contents and measures?

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    Book Chapter

    Pages 127-148

    Upper envelopes of inner premeasures

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    Book Chapter

    Pages 149-163

    On the inner Daniell-Stone and Riesz representation theorems

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    Book Chapter

    Pages 165-173

    Sublinear functionals and conical measures

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    Book Chapter

    Pages 175-234

    Measure and Integration: An attempt at unified systematization

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    Book Chapter

    Pages 235-244

    New facts around the Choquet integral

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    Book Chapter

    Pages 245-271

    The (sub/super)additivity assertion of Choquet

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    Book Chapter

    Pages 273-312

    Projective limits via inner premeasures and the true Wiener measure

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    Book Chapter

    Pages 313-342

    Stochastic processes in terms of inner premeasures

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    Book Chapter

    Pages 343-352

    New versions of the Radon-Nikodým theorem

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    Book Chapter

    Pages 353-367

    The Lebesgue decomposition theorem for arbitrary contents

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    Book Chapter

    Pages 369-390

    The new maximal measures for stochastic processes

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    Book Chapter

    Pages 391-404

    Stochastic processes on the basis of new measure theory

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    Book Chapter

    Pages 405-418

    New versions of the Daniell-Stone-Riesz representation theorem

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    Book Chapter

    Pages 419-436

    Measure and Integral: New foundations after one hundred years

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