Bernstein Functions

Theory and Applications
2. revidierte and ext. Auflage 2012
ISBN: 978-3-11-025229-3
Verlag: De Gruyter

Buch, Englisch, 410 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 982 g

Reihe: ISSN

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.

Zielgruppe

Graduate Students, Lecturers, and Researchers in Mathematics; Academic Libraries

Autoren/Hrsg.

Schilling, René L.

Vondracek, Zoran

Song, Renming

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Mathematische Analysis

Über Autor(innen)

Song, Renming
Renming Song, University of Illinois, Urbana, USA;

Schilling, René L.
René L. Schilling, Dresden University of Technology, Germany;

Vondracek, Zoran
Zoran Vondra?ek, University of Zagreb, Croatia.

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