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  • The Hardy Space H1 with Non-doubling Measures and Their Applications

    Series series Mathematics and Statistics (R0)
    The present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these discoveries, their consequences and some of their applications. It also provides detailed and comprehensive arguments, many typical and easy-to ... Read more

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  • Complex Analysis and Differential Equations

    Series series Mathematics and Statistics (R0)
    This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and partial differential equations.The text is divided into two parts: part one focuses on complex analysis and part two on differential equations. Each part can be read independently, so in essence this ... Read more

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  • Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

    by Manfred Stoll ...
    Series Book 431 - London Mathematical Society Lecture Note Series
    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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  • Poisson Point Processes and Their Application to Markov Processes

    by Kiyosi Itô ...
    Series series SpringerBriefs in Probability and Mathematical Statistics
    An extension problem (often called a boundary problem) of Markov processes has been studied, particularly in the case of one-dimensional diffusion processes, by W. Feller, K. Itô, and H. P. McKean, among others. In this book, Itô discussed a case of a general Markov process with state space S and a specified point a ∈ S called a boundary. The problem is to obtain all possible recurrent extensions ... Read more

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  • Exterior Billiards

    Systems with Impacts Outside Bounded Domains

    A billiard is a dynamical system in which a point particle alternates between free motion and specular reflections from the boundary of a domain. Exterior Billiards presents billiards in the complement of domains and their applications in aerodynamics and geometrical optics.This book distinguishes itself from existing literature by presenting billiard dynamics outside bounded domains, including ... Read more

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  • Hypernumbers and Extrafunctions

    Extending the Classical Calculus

    by Mark Burgin ...
    Series series Mathematics and Statistics (R0)
    “Hypernumbers and Extrafunctions” presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus based on real functions by introducing extrafunctions, which generalize not only the concept of a ... Read more

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  • Foundations of Mathematical Analysis

    Series series Mathematics and Statistics (R0)
    Mathematical analysis is fundamental to the undergraduate curriculum not only because it is the stepping stone for the study of advanced analysis, but also because of its applications to other branches of mathematics, physics, and engineering at both the undergraduate and graduate levels.This self-contained textbook consists of eleven chapters, which are further divided into sections and ... Read more

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  • An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields

    Series series Mathematics and Statistics (R0)
    Hörmander's operators are an important class of linear elliptic-parabolic degenerate partial differential operators with smooth coefficients, which have been intensively studied since the late 1960s and are still an active field of research. This text provides the reader with a general overview of the field, with its motivations and problems, some of its fundamental results, and some recent lines ... Read more

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  • Digital Fourier Analysis: Advanced Techniques

    by Ken'iti Kido ...
    Series series Physics and Astronomy (R0)
    This textbook is a thorough, accessible introduction to advanced digital Fourier analysis for advanced students. Assuming knowledge of the Fast Fourier Transform, this book covers advanced topics including the Hilbert transform, cepstrum analysis and the two-dimensional Fourier transform.Saturated with clear, coherent illustrations, "Digital Fourier Analysis: Volume 2" includes practice problems ... Read more

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  • Analysis and Geometry of Markov Diffusion Operators

    Series series Mathematics and Statistics (R0)
    The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At ... Read more

    $134.99 USD

  • Exercises in Analysis

    Part 1

    Series Book 1 - Mathematics and Statistics (R0)
    Exercises in Analysis will be published in two volumes. This first volume covers problems in five core topics of mathematical analysis: metric spaces; topological spaces; measure, integration and Martingales; measure and topology and functional analysis. Each of five topics correspond to a different chapter with inclusion of the basic theory and accompanying main definitions and results, followed ... Read more

    $107.99 USD

  • Fourier Analysis and Stochastic Processes

    Series series Mathematics and Statistics (R0)
    This work is unique as it provides a uniform treatment of the Fourier theories of functions (Fourier transforms and series, z-transforms), finite measures (characteristic functions, convergence in distribution), and stochastic processes (including arma series and point processes).It emphasises the links between these three themes. The chapter on the Fourier theory of point processes and signals ... Read more

    $76.99 USD