Bernstein Functions (De Gruyter Studies in Mathematics)

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9783110252293: Bernstein Functions (De Gruyter Studies in Mathematics)

Bernstein functions and the important subclass of complete Bernstein functions appear in various fields of mathematics - often with different definitions and under different names. Probabilists, for example, know Bernstein functions as Laplace exponents, and in harmonic analysis they are called negative definite functions. Complete Bernstein functions are used in complex analysis under the name Pick or Nevanlinna functions, while in matrix analysis and operator theory, the name operator monotone function is more common. When studying the positivity of solutions of Volterra integral equations, various types of kernels appear which are related to Bernstein functions. There exists a considerable amount of literature on each of these classes, but only a handful of texts observe the connections between them or use methods from several mathematical disciplines. This monograph - now in its second revised and extended edition - is about these connections. Compared to the first edition the authors added a substantial amount of new material. Their aim was to retain the overall structure of the text with theoretical material in Chapters 1 to 11 and more specific applications in Chapters 12 to 15.

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About the Author:

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

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Book Description Walter De Gmbh Gruyter Sep 2012, 2012. Buch. Book Condition: Neu. Neuware - This secondrevised andextendededition of the self-contained and unified approach to Bernstein functions and their subclassesbrings together old and establishs new connections. Applications of Bernstein functions in different fields of mathematics (such as probability theory, potential theory, operator theory, integral equations, functional calculi, and complex analysis) are given, with special attention to interpretations in probability theory. An extensive list of complete Bernstein functions with their representations is provided. 410 pp. Englisch. Bookseller Inventory # 9783110252293

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Book Description Walter De Gmbh Gruyter Sep 2012, 2012. Buch. Book Condition: Neu. Neuware - This secondrevised andextendededition of the self-contained and unified approach to Bernstein functions and their subclassesbrings together old and establishs new connections. Applications of Bernstein functions in different fields of mathematics (such as probability theory, potential theory, operator theory, integral equations, functional calculi, and complex analysis) are given, with special attention to interpretations in probability theory. An extensive list of complete Bernstein functions with their representations is provided. 410 pp. Englisch. Bookseller Inventory # 9783110252293

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Book Description Walter De Gmbh Gruyter Sep 2012, 2012. Buch. Book Condition: Neu. Neuware - This secondrevised andextendededition of the self-contained and unified approach to Bernstein functions and their subclassesbrings together old and establishs new connections. Applications of Bernstein functions in different fields of mathematics (such as probability theory, potential theory, operator theory, integral equations, functional calculi, and complex analysis) are given, with special attention to interpretations in probability theory. An extensive list of complete Bernstein functions with their representations is provided. 410 pp. Englisch. Bookseller Inventory # 9783110252293

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Book Description Walter De Gmbh Gruyter Sep 2012, 2012. Buch. Book Condition: Neu. Neuware - 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. 410 pp. Englisch. Bookseller Inventory # 9783110252293

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Book Description De Gruyter, 2012. Hardcover. Book Condition: Brand New. 2nd edition. 410 pages. 9.50x7.00x1.00 inches. In Stock. Bookseller Inventory # __3110252295

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