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  • Complex Singularity Theory and Cauchy–Riemann Geometry

    Series series Mathematics and Statistics (R0)
    This book presents a rigorous, self-contained, and systematic study of Cauchy–Riemann (CR) manifolds and their deep connections to singularity theory. It synthesizes foundational contributions to CR geometry and complex singularity theory, including the solution of the complex Plateau problem and the Mather–Yau theorem, which links complex geometry with finite-dimensional commutative algebras and ... Read more

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    Srinivasa Ramanujan was a mathematician brilliant beyond comparison who inspired many great mathematicians. There is extensive literature available on the work of Ramanujan. But what is missing in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by Hardy, delivered in 1936, served this purpose at the time ... Read more

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  • Twisted Isospectrality, Homological Wideness, and Isometry

    A Sample of Algebraic Methods in Isospectrality

    Series series Mathematics and Statistics (R0)
    The question of reconstructing a geometric shape from spectra of operators (such as the Laplace operator) is decades old and an active area of research in mathematics and mathematical physics. This book focusses on the case of compact Riemannian manifolds, and, in particular, the question whether one can find finitely many natural operators that determine whether two such manifolds are isometric ... Read more

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  • Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

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    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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  • Dynamics, Geometry, Number Theory

    The Impact of Margulis on Modern Mathematics

    This definitive synthesis of mathematician Gregory Margulis's research brings together leading experts to cover the breadth and diversity of disciplines Margulis's work touches upon.This edited collection highlights the foundations and evolution of research by widely influential Fields Medalist Gregory Margulis. Margulis is unusual in the degree to which his solutions to particular problems have ... Read more

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  • Enumerative Combinatorics: Volume 1

    Series Book 49 - Cambridge Studies in Advanced Mathematics
    Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises, most with solutions, reflecting numerous new developments since the publication of the first edition in 1986. The author brings the ... Read more

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  • Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values

    Series Book 12 - Series On Number Theory And Its Applications
    This is the first introductory book on multiple zeta functions and multiple polylogarithms which are the generalizations of the Riemann zeta function and the classical polylogarithms, respectively, to the multiple variable setting. It contains all the basic concepts and the important properties of these functions and their special values. This book is aimed at graduate students, mathematicians and ... 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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    Series series Discrete Mathematics and Its Applications
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  • Metric Lie Groups

    Carnot-Carathéodory Spaces from the Homogeneous Viewpoint

    Series series Mathematics and Statistics (R0)
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    Series series Mathematics and Statistics (R0)
    The international conference entitled "New Trends in Approximation Theory" was held at the Fields Institute, in Toronto, from July 25 until July 29, 2016. The conference was fondly dedicated to the memory of our unique friend and colleague, André Boivin, who gave tireless service in Canada until his very last moment of his life in October 2014. The impact of his warm personality and his fine work ... Read more

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  • Encyclopedia of General Topology

    This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs and the reader who wants to study more ... Read more

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