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.
Download or read book M bius Invariant Potential Theory in the Unit Ball of Cn written by David Ullrich and published by . This book was released on 1981 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Spaces of Holomorphic Functions in the Unit Ball written by Kehe Zhu and published by Springer Science & Business Media. This book was released on 2006-03-22 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can be used as a graduate text Contains many exercises Contains new results
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 with total page 360 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.
Download or read book Subharmonic Functions Generalizations Holomorphic Functions Meromorphic Functions and Properties written by Juhani Riihentaus and published by Bentham Science Publishers. This book was released on 2021-05-20 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains different types of subharmonic and harmonic functions. The book brings 12 chapters explaining general and specific types of subharmonic functions (eg. quasinearly subharmonic functions and other separate functions), related partial differential equations, mathematical proofs and extension results. The methods covered in the book also attempt to explain different mathematical analyses such as elliptical equations, domination conditions, weighted boundary behavior. The book serves as a reference work for scholars interested in potential theory and complex analysis.
Download or read book Number Theory and Polynomials written by James Fraser McKee and published by Cambridge University Press. This book was released on 2008-05-08 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.
Download or read book Strong Boundary Values Analytic Functionals and Nonlinear Paley Wiener Theory written by Jean-Pierre Rosay and published by American Mathematical Soc.. This book was released on 2001 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is intended for graduate students and research mathematicians interested in functional analysis, several complex variables, analytic spaces, and differential equations.
Download or read book Surveys in Combinatorics 2007 written by Anthony Hilton and published by Cambridge University Press. This book was released on 2007-07-05 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Survey articles based on the invited lectures given at the Twenty-first British Combinatorial Conference, first published in 2007.
Download or read book Algebraic and Analytic Geometry written by Amnon Neeman and published by Cambridge University Press. This book was released on 2007-09-13 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.
Download or read book Moduli Spaces and Vector Bundles written by Steve Bradlow and published by Cambridge University Press. This book was released on 2009-05-21 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coverage includes foundational material as well as current research, authored by top specialists within their fields.
Download or read book Words written by Dan Segal and published by Cambridge University Press. This book was released on 2009-07-16 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores fundamental questions about the behaviour of word-values in groups.
Download or read book Finite Von Neumann Algebras and Masas written by Allan Sinclair and published by Cambridge University Press. This book was released on 2008-06-26 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book devoted to the general theory of finite von Neumann algebras.
Download or read book Number Theory written by Sinnou David and published by Cambridge University Press. This book was released on 1995-05-18 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourteenth annual volume arising from the Seminaire de Theorie de Nombres de Paris covering the whole spectrum of number theory.
Download or read book Tits Buildings and the Model Theory of Groups written by Katrin Tent and published by Cambridge University Press. This book was released on 2002-01-03 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to buildings and their geometries with emphasis on model theoretic constructions, covering recent developments.
Download or read book Publications de L Institut Math matique written by and published by . This book was released on 1998 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric Function Theory In Several Complex Variables Proceedings Of A Satellite Conference To The Int l Congress Of Mathematicians In Beijing 2002 written by Sheng Gong and published by World Scientific. This book was released on 2004-09-23 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.
