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Publication Date:
December 2009
ISBN:
978-3-11-021531-1

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

Bernstein Functions

Theory and Applications

Series:De Gruyter Studies in Mathematics 37

    • A self-contained and unified approach to the topic
    • With applications to various fields of mathematics, such as probability theory, potential theory, operator theory, integral equations, functional calculi and complex analysis
    • With an extensive list of complete Bernstein functions

    Aims and Scope

    This text is a self-contained and unified approach to Bernstein functions and their subclasses, bringing together old and establishing new connections. Applications of Bernstein functions in different fields of mathematics are given, with special attention to interpretations in probability theory. An extensive list of complete Bernstein functions with their representations is provided.

    • A self-contained and unified approach to the topic
    • With applications to various fields of mathematics, such as probability theory, potential theory, operator theory, integral equations, functional calculi and complex analysis
    • With an extensive list of complete Bernstein functions.
    • Additional material and corrections can be found on the authors' website.

    Supplementary Information

    24 x 17 cm
    xi, 313 pages
    3 Fig.
    Language:
    English
    Type of Publication:
    Monograph
    Keywords:
    Bernstein Functions; Complete Bernstein Functions; Completely Monotone Function; Stieltjes Function/Transform; Laplace Transform

    MARC record

    MARC record for eBook

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

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