Bernstein Functions: Theory and Applications (De Gruyter Studies in Mathematics, 37)
Language: English
Published by De Gruyter, 2012
- Hardcover
- New
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- Title
- Bernstein Functions: Theory and Applications (De Gruyter Studies in Mathematics, 37)
- Author
- Schilling, Ren L., Song, Renming, Vondracek, Zoran
- Publisher
- De Gruyter
- Publication year
- 2012
- Condition
- New
- Book Type
- book
- Binding
- hardcover
- Language
- English
- ISBN 10
- 3110252295
- ISBN 13
- 9783110252293
- Edition
- 2nd Edition
- Series
- Book 29 of 60: De Gruyter Studies in Mathematics
Bernstein functions appear in various fields of mathematics, e.g. probability theory, potential theory, operator theory, functional analysis and complex analysis – often with different definitions and under different names. Among the synonyms are `Laplace exponent' instead of Bernstein function, and complete Bernstein functions are sometimes called `Pick functions', `Nevanlinna functions' or `operator monotone functions'.
This monograph – now in its second revised and extended edition – offers a self-contained and unified approach to Bernstein functions and closely related function classes, bringing together old and establishing new connections. For the second edition the authors added a substantial amount of new material. As in the first edition Chapters 1 to 11 contain general material which should be accessible to non-specialists, while the later Chapters 12 to 15 are devoted to more specialized topics. An extensive list of complete Bernstein functions with their representations is provided.
"Synopsis" may belong to another edition of this title.
About the Author
René L. Schilling, Dresden University of Technology, Germany; Renming Song, University of Illinois, Urbana, USA; Zoran Vondracek, University of Zagreb, Croatia.
"About the title" may belong to another edition of this title.
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