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  • Stochastic Partial Differential Equations and Related Fields

    In Honor of Michael Röckner SPDERF, Bielefeld, Germany, October 10 -14, 2016

    Series series Springer Nature Proceedings excluding Computer Science
    This Festschrift contains five research surveys and thirty-four shorter contributions by participants of the conference ''Stochastic Partial Differential Equations and Related Fields'' hosted by the Faculty of Mathematics at Bielefeld University, October 10–14, 2016. The conference, attended by more than 140 participants, including PostDocs and PhD students, was held both to honor Michael Röckner ... Read more

    $154.99 CAD

  • Analytic Theory of Itô-Stochastic Differential Equations with Non-smooth Coefficients

    Series series Mathematics and Statistics (R0)
    This book provides analytic tools to describe local and global behavior of solutions to Itô-stochastic differential equations with non-degenerate Sobolev diffusion coefficients and locally integrable drift. Regularity theory of partial differential equations is applied to construct such solutions and to obtain strong Feller properties, irreducibility, Krylov-type estimates, moment inequalities, ... Read more

    $70.99 CAD

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    This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other ... Read more

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  • A Primer on the Dirichlet Space

    Series Book 203 - Cambridge Tracts in Mathematics
    The Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk. It boasts a rich and beautiful theory, yet at the same time remains a source of challenging open problems and a subject of active mathematical research. This book is the first systematic account of the Dirichlet space, assembling results previously only found in scattered research articles ... Read more

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  • Geometry Of Crystallographic Groups

    Series Book 4 - Algebra And Discrete Mathematics
    Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. They got their name, because in three dimensions they occur as the symmetry groups of a crystal (which we imagine to extend to infinity in all directions). The book is divided into two parts. In the first part, the basic theory of crystallographic groups is developed from the very ... Read more

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  • Handbook of Measure Theory

    In two volumes

    by E. Pap ...
    The main goal of this Handbook isto survey measure theory with its many different branches and itsrelations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications whichsupport the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are ... Read more

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  • Topics in Quaternion Linear Algebra

    by Leiba Rodman ...
    Series series Princeton Series in Applied Mathematics
    Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously ... Read more

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  • The Theory of Hardy's Z-Function

    Series Book 196 - Cambridge Tracts in Mathematics
    Hardy's Z-function, related to the Riemann zeta-function ζ(s), was originally utilised by G. H. Hardy to show that ζ(s) has infinitely many zeros of the form ½+it. It is now amongst the most important functions of analytic number theory, and the Riemann hypothesis, that all complex zeros lie on the line ½+it, is perhaps one of the best known and most important open problems in mathematics. Today ... Read more

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  • Brownian Motion and Stochastic Calculus

    Series series Mathematics and Statistics (R0)
    This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous ... Read more

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  • Mathematics Without Boundaries

    Surveys in Pure Mathematics

    Series series Mathematics and Statistics (R0)
    The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent developments in Functional Analysis, Harmonic Analysis, Complex Analysis, Operator ... Read more

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  • Probability on Compact Lie Groups

    Series series Mathematics and Statistics (R0)
    Probability theory on compact Lie groups deals with the interaction between “chance” and “symmetry,” a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing). The author gives a comprehensive introduction to some of the principle areas of study, with an ... Read more

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  • Stochastic Differential Equations, Backward SDEs, Partial Differential Equations

    Series series Mathematics and Statistics (R0)
    This research monograph presents results to researchers in stochastic calculus, forward and backward stochastic differential equations, connections between diffusion processes and second order partial differential equations (PDEs), and financial mathematics. It pays special attention to the relations between SDEs/BSDEs and second order PDEs under minimal regularity assumptions, and also extends ... Read more

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