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ISBN: 9783110215311 9783110215304 3110215306 Year: 2009 Publisher: Berlin Boston
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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.
Analytic functions --- Monotonic functions --- Functions, Monotonic --- Functions of real variables --- Functions, Analytic --- Functions, Monogenic --- Functions, Regular --- Regular functions --- Functions of complex variables --- Series, Taylor's --- Bernstein Functions. --- Complete Bernstein Functions. --- Completely Monotone Function. --- Laplace Transform. --- Stieltjes Function/Transform. --- Fonctions analytiques --- Fonctions monotones
Book
ISBN: 1009020390 1009003798 Year: 2021 Publisher: Cambridge : Cambridge University Press,
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Often it is more instructive to know 'what can go wrong' and to understand 'why a result fails' than to plod through yet another piece of theory. In this text, the authors gather more than 300 counterexamples - some of them both surprising and amusing - showing the limitations, hidden traps and pitfalls of measure and integration. Many examples are put into context, explaining relevant parts of the theory, and pointing out further reading. The text starts with a self-contained, non-technical overview on the fundamentals of measure and integration. A companion to the successful undergraduate textbook Measures, Integrals and Martingales, it is accessible to advanced undergraduate students, requiring only modest prerequisites. More specialized concepts are summarized at the beginning of each chapter, allowing for self-study as well as supplementary reading for any course covering measures and integrals. For researchers, it provides ample examples and warnings as to the limitations of general measure theory. This book forms a sister volume to René Schilling's other book Measures, Integrals and Martingales (www.cambridge.org/9781316620243).
Digital
ISBN: 9783110215311 9783110215304 Year: 2009 Publisher: Berlin ;; Boston De Gruyter
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ISBN: 9783110269338 9783110252293 Year: 2012 Publisher: Berlin ;; Boston De Gruyter
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ISBN: 9783110278989 Year: 2012 Publisher: Berlin ;; Boston De Gruyter
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Book
ISBN: 9783110818574 Year: 2011 Publisher: Berlin Boston
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ISBN: 9783110818574 9783110146547 Year: 2011 Publisher: Berlin ;; Boston De Gruyter
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