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Bernstein Functions

Theory and Applications
Buch | Hardcover
XI, 313 Seiten
2010
De Gruyter (Verlag)
978-3-11-021530-4 (ISBN)

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Bernstein Functions - René L. Schilling, Renming Song, Zoran Vondracek
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The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.
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.

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

Erscheint lt. Verlag 14.1.2010
Reihe/Serie De Gruyter Studies in Mathematics ; 37
Zusatzinfo 3 b/w ill.
Verlagsort Berlin/Boston
Sprache englisch
Maße 170 x 240 mm
Gewicht 665 g
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Analysis
Schlagworte Bernstein Functions • Bernstein Functions; Complete Bernstein Functions; Completely Monotone Function; Stieltjes Function/Transform; Laplace Transform • Bernstein-Funktion • Complete Bernstein Functions • Completely Monotone Function • Halbgruppe • Hardcover, Softcover / Mathematik/Analysis • Laplace transform • Monotone Funktion • Operatortheorie • Stieltjes Function/Transform • Wahrscheinlichkeitsmaß
ISBN-10 3-11-021530-6 / 3110215306
ISBN-13 978-3-11-021530-4 / 9783110215304
Zustand Neuware
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