René L. Schilling, Renming Song, Zoran Vondracek

Bernstein Functions (eBook, PDF)

Theory and Applications

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: De Gruyter
• Seitenzahl: 324
• Erscheinungstermin: 22. Dezember 2009
• Englisch
• ISBN-13: 9783110215311
• Artikelnr.: 33838946

Autorenporträt

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

Rezensionen

"To sum up, the book collects and integrates results from a number of sources scattered throughout the literature. It is clearly and carefully written. It will certainly be useful for both graduate students and researchers in different areas." Mathematical Reviews (review of the first edition)

"This impressive monograph, which is now in an expanded second edition, does a wonderful job of collecting together and synthesising some of the most important results and applications. Consequently it represents a unique perspective on this important function class which will be a valuable resource for many years to come for both experienced researchers and graduate students." Mathematical Reviews