Advanced Integration Theory
Constantinescu, Corneliu; Filter, Wolfgang; Weber, Karl
ISBN 10: 0792352343 ISBN 13: 9780792352341
Published by Kluwer Academic Publishers, 1998
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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. Series: Mathematics and its Applications. Num Pages: 876 pages, biography. BIC Classification: PBK. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 46. Weight in Grams: 1485. . 1998. Hardback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780792352341
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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.
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Title: Advanced Integration Theory
Publisher: Kluwer Academic Publishers
Publication Date: 1998
Binding: Hardcover
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Buch. Condition: Neu. Advanced Integration Theory | Corneliu Constantinescu (u. a.) | Buch | xxiv | Englisch | 1998 | Springer Netherland | EAN 9780792352341 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Seller Inventory # 102550402
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Advanced Integration Theory
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Springer Netherlands, Springer Netherlands Okt 1998, 1998
ISBN 10: 0792352343
ISBN 13: 9780792352341
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Buch. Condition: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 884 pp. Englisch. Seller Inventory # 9780792352341
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Advanced Integration Theory
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ISBN 13: 9780792352341
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 884 pp. Englisch. Seller Inventory # 9780792352341
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Advanced Integration Theory
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9780792352341
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