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# π Harmonic and subharmonic function theory on the hyperbolic ball by Stoll, Manfred β free pdf

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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 relevant results for the hyperbolic upper half-space are included both in the text and in the end-of-chapter exercises. These exercises expand on the topics covered in the chapter and involve routine computations and inequalities not included in the text. The book also includes some open problems, which may be a source for potential research projects

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## About file:

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- Series:
**London Mathematical Society lecture note series 431; Lecture note series. London Mathematical Society ; 431** - Author:
**Stoll, Manfred** - Year:
**2016** - Publisher:
**Cambridge University Press** - Language:
**English** - ISBN:
**978-1-107-54148-1,372-373-374-3,1107541484**

- File size:
**1 428 966** - Format:
**pdf**

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This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate conc...

This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from t...

Building on the foundation laid in the first volume of Subharmonic Functions, which has become a classic, this second volume deals extensively with applications to functions of a complex variable. The material also has applications in differential equatio...

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Building on the foundation laid in the first volume of Subharmonic Functions, which has become a classic, this second volume deals extensively with applications to functions of a complex variable. The material also has applications in differential equatio...

This book collects the proceedings of the 2012 Abel Symposium, held at the Norwegian Academy of Science and Letters, Oslo. The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory ...

Time-dependent density functional theory (TDDFT) is based on a set of ideas and theorems quite distinct from those governing ground-state DFT, but emphasizing similar techniques. Today, the use of TDDFT is rapidly growing in many areas of physics, chemist...

The first contribution describes basic concepts, facts and problems of the modern theory of entire functions of several complex variables. The second contribution deals with analogies of basic Nevanlinna's theorems about the distribution of values in the ...

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A step-by-step guide to reloading rifle and handgun cartridges and shotshells!In these days of widespread ammunition shortages, it pays -literally - to know how to "roll your own" cartridges. But don't think it's some kind of rocket science. Let The ABCs ...

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The hottest new craze in monster games is DigiMon—short for Digital Monsters. Players must hatch, raise, and train their DigiMons in order to battle with other DigiMon—and that's where the fun begins. The ultimate guide to this awesome game, D...

Southern folklife is the heart of southern culture. Looking at traditional practices still carried on today as well as at aspects of folklife that are dynamic and emergent, contributors to this volume of The New Encyclopedia of Southern Culture examine a ...