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Regular Variation Reprint Edition
Author(s): N. H. Bingham (Author), C. M. Goldie (Author), J. L. Teugels (Author)
- Publisher: Cambridge University Press
- Publication Date: July 28, 1989
- Edition: Reprint
- Language: English
- Print length: 516 pages
- ISBN-10: 0521379431
- ISBN-13: 9780521379434
Book Description
Both the theory and applications of regular variation are given comprehensive coverage in this volume. In many limit theorems, regular variation is intrinsic to the result and exactly characterizes the limit behavior. The book emphasizes such characterizations, and gives a comprehensive treatment of those applications where regular variation plays an essential (rather than merely convenient) role. The authors rigorously develop the basic ideas of Karamata theory and de Haan theory including many new results and “second-order” theorems. They go on to discuss the role of regular variation in Abelian, Tauberian, and Mercerian theorems. These results are then applied in analytic number theory, complex analysis, and probability, with the aim of setting the theory in context. A widely scattered literature is thus brought together in a unified approach. With several appendices and a comprehensive list of references, analysts, number theorists, probabilitists, research workers, and graduate students will find this an invaluable and complete account of regular variation.
Editorial Reviews
Review
“…presents a broad and variegated area of knowledge in an orderly, accessible, and yet impressive way. An opera of real analysis, so to speak.” Bulletin of the American Mathematical Society
“Papers still appear in this subject and probably will continue to do so. This book may not be the last word, but it will certainly be the best for a long time to come.” Mathematical Reviews
Book Description
A comprehensive account of the theory and applications of regular variation.
