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Schilling, René L. / Song, Renming / Vondracek, Zoran

Bernstein Functions

Theory and Applications

Series:De Gruyter Studies in Mathematics 37

    149,95 € / $210.00 / £112.99*

    eBook (PDF)
    2nd rev. and ext. ed.
    Publication Date:
    October 2012
    Copyright year:
    2012
    ISBN
    978-3-11-026933-8
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    In This Section

    Overview

    Aims and Scope

    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.

    Details

    xiv, 410 pages
    Language:
    English
    Type of Publication:
    Monograph
    Keyword(s):
    Bernstein Function; Monotone Function; Probability Measure; Semigroup; Theory

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    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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