René L. Schilling & Renming Song 
Bernstein Functions [PDF ebook] 
Theory and Applications

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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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关于作者

René L. Schilling, Dresden University of Technology, Germany; Renming Song, University of Illinois, Urbana, USA; Zoran Vondraček, University of Zagreb, Croatia.

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语言 英语 ● 格式 PDF ● 网页 424 ● ISBN 9783110269338 ● 文件大小 5.6 MB ● 出版者 De Gruyter ● 市 Berlin/Boston ● 发布时间 2012 ● 版 2 ● 下载 24 个月 ● 货币 EUR ● ID 6293323 ● 复制保护 Adobe DRM
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