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This monograph treats the analysis of symmetric cones in a systematic way. It discusses harmonic analysis and special functions associated with symmetric cones; it also tries these results together with the study of holomorphic functions on bounded symmetric domains of tube type.
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Aimed at graduates with a grounding in complex analysis, this book provides an accessible introduction to the theory of quasiconformal maps and Teichmüller... Læs mere
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This book aims to develop models and modeling techniques that are useful when applied to all complex systems. It adopts both analytic tools and computer simulation. The book is intended for students and researchers with a variety of backgrounds.
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Unlike other undergraduate-level texts, Real and Complex Analysis develops both the real and complex theory together. It takes a unified, elegant approach to the theory that is consistent with the recommendations of the MAA’s 2004 Curriculum Guide.
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The new edition of this well known book remains a clear and accessible exposition of the basic theory of Hardy spaces. The coverage has been extended with the inclusion of two appendices; in addition numerous amendments, additions and corrections have been made throughout.
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Professor Motohashi shows that the Riemann zeta function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the function itself.
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Dr Smithies analyses the process whereby Cauchy created one of the most important branch of mathematics discovered in the nineteenth century. It is the... Læs mere
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An introduction to the analytic theory of automorphic forms, limited to the case of fuchsian groups, but from the point of view of the general theory, ending with an... Læs mere
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Professor Carathéodory sets out the basic theory of conformal representations as simply as possible. In the early chapters on Mobius' and other elementary transformations and on... Læs mere
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A self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds, will be... Læs mere
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In this book the authors give elementary accounts of many aspects of classical complex function theory including Möbius transformations, elliptic... Læs mere
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The particular focus of the book is on the remarkable measure supported on the limit set of a discrete group that was first developed by S. J. Patterson for Fuchsian groups, and later extended and refined by Sullivan.