Advanced Integration Theory (Mathematics and Its Applications, 454, Band 454) - Softcover

Constantinescu, Corneliu; Filter, Wolfgang; Weber, Karl

Softcover

ISBN 10: 9401037396 ISBN 13: 9789401037396

Verlag: Springer, 2012

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2012
• Sprache: Englisch
• ISBN 10: 9401037396
• ISBN 13: 9789401037396
• Einband: Taschenbuch
• Anzahl der Seiten: 900
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