Mathematics and Its Applications

Advanced Integration Theory

Authors: Constantinescu, Corneliu, Filter, Wolfgang, Weber, K.

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About this book

Since about 1915 integration theory has consisted of two separate branches: the abstract theory required by probabilists and the theory, preferred by analysts, that combines integration and topology. As long as the underlying topological space is reasonably nice (e.g., locally compact with countable basis) the abstract theory and the topological theory yield the same results, but for more compliĀ­ cated spaces the topological theory gives stronger results than those provided by the abstract theory. The possibility of resolving this split fascinated us, and it was one of the reasons for writing this book. The unification of the abstract theory and the topological theory is achieved by using new definitions in the abstract theory. The integral in this book is deĀ­ fined in such a way that it coincides in the case of Radon measures on Hausdorff spaces with the usual definition in the literature. As a consequence, our integral can differ in the classical case. Our integral, however, is more inclusive. It was defined in the book "C. Constantinescu and K. Weber (in collaboration with A.

Table of contents (9 chapters)

  • Introduction

    Constantinescu, Corneliu (et al.)

    Pages 1-4

  • Suggestions to the Reader

    Constantinescu, Corneliu (et al.)

    Pages 5-6

  • Preliminaries

    Constantinescu, Corneliu (et al.)

    Pages 7-20

  • Vector Lattices

    Constantinescu, Corneliu (et al.)

    Pages 21-278

  • Elementary Integration Theory

    Constantinescu, Corneliu (et al.)

    Pages 279-445

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-94-007-0852-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-0-7923-5234-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-94-010-3739-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Advanced Integration Theory
Authors
Series Title
Mathematics and Its Applications
Series Volume
454
Copyright
1998
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-94-007-0852-5
DOI
10.1007/978-94-007-0852-5
Hardcover ISBN
978-0-7923-5234-1
Softcover ISBN
978-94-010-3739-6
Edition Number
1
Number of Pages
XXIV, 876
Topics