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Item Details
| Title:
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ADVANCED INTEGRATION THEORY
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| By: |
Corneliu Constantinescu, Alexia Sontag, Wolfgang Filter |
| Format: |
Hardback |
| List price:
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£145.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0792352343 |
| ISBN 13: |
9780792352341 |
| Publisher: |
SPRINGER |
| Pub. date: |
31 October, 1998 |
| Edition: |
1998 ed. |
| Series: |
Mathematics and Its Applications 454 |
| Pages: |
876 |
| Description: |
Gives a general definition of the (abstract) integral, using the Daniell method. This book is of interest to graduate-level students and researchers with a background in real analysis, whose work involves (abstract) measure and integration, vector lattices, real functions of a real variable, probability theory and integral transforms. |
| Synopsis: |
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 compli- 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 de- 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. |
| Illustrations: |
XXIV, 876 p. In 2 volumes, not available separately. |
| Publication: |
Netherlands |
| Imprint: |
Springer |
| Returns: |
Returnable |
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