Bernstein functions : theory and applications /
by Rene L. Schilling, Renming Song, Zoran Vondracek.
Bok Engelsk 2012 René L. Schilling,· Electronic books.
| Utgitt | Berlin : : De Gruyter, , c2012.
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| Omfang | 1 online resource (424 p.)
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| Utgave | 2nd ed.
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| Opplysninger | Description based upon print version of record.. - 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.
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| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 1-283-85675-1. - 3-11-026900-7
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