Invariant Potential Theory in the Unit Ball of C

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Publisher :
ISBN 13 : 9781107371644
Total Pages : 0 pages
Book Rating : 4.3/5 (716 download)

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Book Synopsis Invariant Potential Theory in the Unit Ball of C by : Manfred Stoll

Download or read book Invariant Potential Theory in the Unit Ball of C written by Manfred Stoll and published by . This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The results in potential theory with respect to the Laplace-Beltrami operator D in several complex variables, with special emphasis on the unit ball in Cn.

Invariant Potential Theory in the Unit Ball of Cn

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Publisher : Cambridge University Press
ISBN 13 : 0521468302
Total Pages : 187 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Invariant Potential Theory in the Unit Ball of Cn by : Manfred Stoll

Download or read book Invariant Potential Theory in the Unit Ball of Cn written by Manfred Stoll and published by Cambridge University Press. This book was released on 1994-05-12 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an introduction and a survey of recent results in potential theory with respect to the Laplace-Beltrami operator D in several complex variables, with special emphasis on the unit ball in Cn. Topics covered include Poisson-Szegö integrals on the ball, the Green's function for D and the Riesz decomposition theorem for invariant subharmonic functions. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem on the existence of radial limits of subharmonic functions are covered in detail. The monograph also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Green potentials. Applications of some of the results to Hp spaces, and weighted Bergman and Dirichlet spaces of invariant harmonic functions are included. The notes are self-contained, and should be accessible to anyone with some basic knowledge of several complex variables.

Invariant Potential Theory in the Unit of Ball of C [to the Power of N]

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ISBN 13 : 9781139885058
Total Pages : pages
Book Rating : 4.8/5 (85 download)

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Book Synopsis Invariant Potential Theory in the Unit of Ball of C [to the Power of N] by : Manfred Stoll

Download or read book Invariant Potential Theory in the Unit of Ball of C [to the Power of N] written by Manfred Stoll and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Analysis and Potential Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821891731
Total Pages : 347 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Complex Analysis and Potential Theory by : Andre Boivin

Download or read book Complex Analysis and Potential Theory written by Andre Boivin and published by American Mathematical Soc.. This book was released on 2012 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings volume of an international conference entitled Complex Analysis and Potential Theory, which was held to honor the important contributions of two influential analysts, Kohur N. GowriSankaran and Paul M. Gauthier, in June 2011 at the Centre de Recherches Mathematiques (CRM) in Montreal. More than fifty mathematicians from fifteen countries participated in the conference. The twenty-four surveys and research articles contained in this book are based on the lectures given by some of the most established specialists in the fields. They reflect the wide breadth of research interests of the two honorees: from potential theory on trees to approximation on Riemann surfaces, from universality to inner and outer functions and the disc algebra, from branching processes to harmonic extension and capacities, from harmonic mappings and the Harnack principle to integration formulae in $\mathbb {C}^n$ and the Hartogs phenomenon, from fine harmonicity and plurisubharmonic functions to the binomial identity and the Riemann hypothesis, and more. This volume will be a valuable resource for specialists, young researchers, and graduate students from both fields, complex analysis and potential theory. It will foster further cooperation and the exchange of ideas and techniques to find new research perspectives.

Geometric Function Theory in Several Complex Variables

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Publisher : World Scientific
ISBN 13 : 9812560238
Total Pages : 353 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Geometric Function Theory in Several Complex Variables by : Carl Hanson FitzGerald

Download or read book Geometric Function Theory in Several Complex Variables written by Carl Hanson FitzGerald and published by World Scientific. This book was released on 2004 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.

Geometric Function Theory in Several Complex Variables

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Publisher : World Scientific
ISBN 13 : 9814481912
Total Pages : 352 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Geometric Function Theory in Several Complex Variables by : Carl H FitzGerald

Download or read book Geometric Function Theory in Several Complex Variables written by Carl H FitzGerald and published by World Scientific. This book was released on 2004-09-23 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods. Contents:Subriemannian Geometry and Subelliptic Partial Differential Equations (D-C Chang et al.)Proper Holomorphic Mappings between Some Generalized Hartogs Triangles (Z Chen)Invariant Mappings in Geometric Function Theory (C H FitzGerald)The Distortion Theorems for Convex Mappings in Several Complex Variables (S Gong)Basic Properties of Loewner Chains in Several Complex Variables (I Graham et al.)A New Inequality and Its Applications (H Ke)Intermediate Value Theorem for Functions of Classes of Riemann Surfaces (M Masumoto)A Hadamard Theorem on Algebraic Curves (S-K Wang & H-P Zhang)Hodge-Laplace Operator on Complex Finsler Manifolds (C Zhong & T Zhong)and other papers Readership: Graduate students, researchers and academics in mathematics. Keywords:Geometric Function Theory;Several Complex Variables;Function Theory;Holomorlphic Mappings;Subriemannian Geometry;Riemann Manifolds;Finsler Manifolds;Loewner ChainsKey Features:Written to be understood and to be used by a wide audienceContains survey papers on important areas of research mathematicsWritten by mathematicians of international stature

Number Theory

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Publisher : Cambridge University Press
ISBN 13 : 052158549X
Total Pages : 227 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Number Theory by : Sinnou David

Download or read book Number Theory written by Sinnou David and published by Cambridge University Press. This book was released on 1996-11-07 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the whole spectrum of number theory, and is composed of contributions from some of the best specialists worldwide.

The Descriptive Set Theory of Polish Group Actions

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Publisher : Cambridge University Press
ISBN 13 : 0521576059
Total Pages : 152 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis The Descriptive Set Theory of Polish Group Actions by : Howard Becker

Download or read book The Descriptive Set Theory of Polish Group Actions written by Howard Becker and published by Cambridge University Press. This book was released on 1996-12-05 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors present their research into the foundations of the theory of Polish groups and the associated orbit equivalence relations. The particular case of locally compact groups has long been studied in many areas of mathematics. Non-locally compact Polish groups occur naturally as groups of symmetries in such areas as logic (especially model theory), ergodic theory, group representations, and operator algebras. Some of the topics covered here are: topological realizations of Borel measurable actions; universal actions; applications to invariant measures; actions of the infinite symmetric group in connection with model theory (logic actions); dichotomies for orbit spaces (including Silver, Glimm-Effros type dichotomies and the topological Vaught conjecture); descriptive complexity of orbit equivalence relations; definable cardinality of orbit spaces.

Algebraic Set Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521558303
Total Pages : 136 pages
Book Rating : 4.5/5 (583 download)

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Book Synopsis Algebraic Set Theory by : André Joyal

Download or read book Algebraic Set Theory written by André Joyal and published by Cambridge University Press. This book was released on 1995-09-14 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a new algebraic approach to set theory. The authors introduce a particular kind of algebra, the Zermelo-Fraenkel algebras, which arise from the familiar axioms of Zermelo-Fraenkel set theory. Furthermore, the authors explicitly construct these algebras using the theory of bisimulations. Their approach is completely constructive, and contains both intuitionistic set theory and topos theory. In particular it provides a uniform description of various constructions of the cumulative hierarchy of sets in forcing models, sheaf models and realizability models. Graduate students and researchers in mathematical logic, category theory and computer science should find this book of great interest, and it should be accessible to anyone with a background in categorical logic.

Ergodic Theory and Zd Actions

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Publisher : Cambridge University Press
ISBN 13 : 0521576881
Total Pages : 496 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Ergodic Theory and Zd Actions by : Mark Pollicott

Download or read book Ergodic Theory and Zd Actions written by Mark Pollicott and published by Cambridge University Press. This book was released on 1996-03-28 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mixture of surveys and original articles that span the theory of Zd actions.

Semigroup Theory and Its Applications

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Publisher : Cambridge University Press
ISBN 13 : 9780521576697
Total Pages : 180 pages
Book Rating : 4.5/5 (766 download)

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Book Synopsis Semigroup Theory and Its Applications by : Alfred Hoblitzelle Clifford

Download or read book Semigroup Theory and Its Applications written by Alfred Hoblitzelle Clifford and published by Cambridge University Press. This book was released on 1996-05-16 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains survey papers by the invited speakers at the Conference on Semigroup Theory and Its Applications which took place at Tulane University in April, 1994. The authors represent the leading areas of research in semigroup theory and its applications, both to other areas of mathematics and to areas outside mathematics. Included are papers by Gordon Preston surveying Clifford's work on Clifford semigroups and by John Rhodes tracing the influence of Clifford's work on current semigroup theory. Notable among the areas of application are the paper by Jean-Eric Pin on applications of other areas of mathematics to semigroup theory and the paper by the editors on an application of semigroup theory to theoretical computer science and mathematical logic. All workers in semigroup theory will find this volume invaluable.

Model Theory of Groups and Automorphism Groups

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Publisher : Cambridge University Press
ISBN 13 : 052158955X
Total Pages : 232 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Model Theory of Groups and Automorphism Groups by : David M. Evans

Download or read book Model Theory of Groups and Automorphism Groups written by David M. Evans and published by Cambridge University Press. This book was released on 1997-07-10 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys recent interactions between model theory and other branches of mathematics, notably group theory.

Representation Theory and Algebraic Geometry

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Publisher : Cambridge University Press
ISBN 13 : 9780521577892
Total Pages : 148 pages
Book Rating : 4.5/5 (778 download)

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Book Synopsis Representation Theory and Algebraic Geometry by : A. Martsinkovsky

Download or read book Representation Theory and Algebraic Geometry written by A. Martsinkovsky and published by Cambridge University Press. This book was released on 1997-05-15 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: For any researcher working in representation theory, algebraic or arithmetic geometry.

Sieve Methods, Exponential Sums, and Their Applications in Number Theory

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Publisher : Cambridge University Press
ISBN 13 : 0521589576
Total Pages : 360 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Sieve Methods, Exponential Sums, and Their Applications in Number Theory by : G. R. H. Greaves

Download or read book Sieve Methods, Exponential Sums, and Their Applications in Number Theory written by G. R. H. Greaves and published by Cambridge University Press. This book was released on 1997-01-30 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: State-of-the-art analytic number theory proceedings.

Singularity Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521658881
Total Pages : 468 pages
Book Rating : 4.6/5 (588 download)

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Book Synopsis Singularity Theory by : Bill Bruce

Download or read book Singularity Theory written by Bill Bruce and published by Cambridge University Press. This book was released on 1999-06-03 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date survey of research in singularity theory.

Aspects of Galois Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521637473
Total Pages : 294 pages
Book Rating : 4.6/5 (374 download)

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Book Synopsis Aspects of Galois Theory by : Helmut Völklein

Download or read book Aspects of Galois Theory written by Helmut Völklein and published by Cambridge University Press. This book was released on 1999-07-29 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of articles by leading experts in Galois theory, focusing on the Inverse Galois Problem.

Spectral Theory and Geometry

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Publisher : Cambridge University Press
ISBN 13 : 0521777496
Total Pages : 344 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Spectral Theory and Geometry by : E. Brian Davies

Download or read book Spectral Theory and Geometry written by E. Brian Davies and published by Cambridge University Press. This book was released on 1999-09-30 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authoritative lectures from world experts on spectral theory and geometry.