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Boundary Behavior Of Holomorphic Functions Of Several Complex Variables Mn 11
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Book Synopsis Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11) by : Elias M. Stein
Download or read book Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11) written by Elias M. Stein and published by Princeton University Press. This book was released on 2015-03-08 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis. For one variable, the topic is classical and rather well understood. In several variables, the necessary understanding of holomorphic functions via partial differential equations has a recent origin, and Professor Stein's book, which emphasizes the potential-theoretic aspects of the boundary value problem, should become the standard work in the field. Originally published in 1972. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Boundry behvior of holomorphic functions of several... by : Elias M. Stein
Download or read book Boundry behvior of holomorphic functions of several... written by Elias M. Stein and published by . This book was released on 1972 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary Behavior of Holomorphic Functions by : Fausto Di Biase
Download or read book Boundary Behavior of Holomorphic Functions written by Fausto Di Biase and published by Birkhauser. This book was released on 2006-10 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph examines the boundary behavior of holomorphic functions in several complex variables. Moving beyond the early ideas of Fatou and others, Koranyi and then Stein in the late 1960s and early 1970s deepened the study of Fatou-type theorems in several complex variables, showing that in a general context, approach regions of a shape dramatically larger than non-tangential will give rise to a Fatou-type theorem. These have become known as the admissible regions of Koranyi and Stein. It turns out, however, that the admissible approach regions are only optimal on strongly pseudoconvex domains. Considerable effort has been made in the last 20 years to adapt Fatou theory, and the approach regions in particular, to the Levi geometry of a given domain in multidimensional complex space. The work of Di Biase in the late 1990s is devoted to the Nagel--Stein phenomenon, describing a more general notion of approach region that supersedes the classical ideas of non-tangential and admissible. Krantz's work Function Theory of Several Complex Variables (2000), still the only introduction to the subject, focuses on methods based on maximal function estimates. To date, the main open problem, which is the special focus of this book, is the issue of determining the {it optimal natural approach regions} for the almost everywhere convergence to the boundary of certain smoothly bounded pseudoconvex domains. This book provides the proper framework for the eventual solution of the main problem. This work gives an updated, comprehensive, and self-contained exposition of many results that have never appeared in book form. Starting with foundational material, i.e., from the unit disc in one complexvariable, the reader is lead to the latest discoveries in higher dimensions. New results in boundary value issues of holomorphic functions are examined, which in turn point to new open problems. The book may be used by analysts for individual study or by graduate students.
Book Synopsis Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 by : Elias M. Stein
Download or read book Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 written by Elias M. Stein and published by Princeton University Press. This book was released on 2016-03-02 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on seven lecture series given by leading experts at a summer school at Peking University, in Beijing, in 1984. this book surveys recent developments in the areas of harmonic analysis most closely related to the theory of singular integrals, real-variable methods, and applications to several complex variables and partial differential equations. The different lecture series are closely interrelated; each contains a substantial amount of background material, as well as new results not previously published. The contributors to the volume are R. R. Coifman and Yves Meyer, Robert Fcfferman, Carlos K. Kenig, Steven G. Krantz, Alexander Nagel, E. M. Stein, and Stephen Wainger.
Book Synopsis Several Complex Variables by : Joseph John Kohn
Download or read book Several Complex Variables written by Joseph John Kohn and published by . This book was released on 1984 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: "These papers, originally presented at the first international conference in several complex variables held in China, cover complex differential geometry, integral representation, boundary behavior of holomorphic functions, invariant metrics, holomorphic vector bundles, and pseudoconvexity."--Publisher.
Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel
Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Structures of Symmetric Domains by : Ichiro Satake
Download or read book Algebraic Structures of Symmetric Domains written by Ichiro Satake and published by Princeton University Press. This book was released on 2014-07-14 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive treatment of the general (algebraic) theory of symmetric domains. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Complex Analysis by : Steven George Krantz
Download or read book Complex Analysis written by Steven George Krantz and published by Springer. This book was released on 1987 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference gathered together a small group of people with similar interests in the geometric function theory of several complex variables. While the speeches were of a specialized nature, the papers in the proceedings are largely of a survey and speculative nature. The volume is intended to serve both students and researchers as an invitation to active new areas of research. The level of the writing has been intentionally set in such a way that the papers will be accessible to a broad audience.
Book Synopsis Normal Families and Normal Functions by : Peter V. Dovbush
Download or read book Normal Families and Normal Functions written by Peter V. Dovbush and published by . This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book centers on normal families of holomorphic and meromorphic functions and also normal functions. The authors treat one complex variable, several complex variables, and infinitely many complex variables (i.e., Hilbert space). The theory of normal families is more than 100 years old. It has played a seminal role in the function theory of complex variables. It was used in the first rigorous proof of the Riemann mapping theorem. It is used to study automorphism groups of domains, geometric analysis, and partial differential equations. The theory of normal families led to the idea, in 1957, of normal functions as developed by Lehto and Virtanen. This is the natural class of functions for treating the Lindelof principle. The latter is a key idea in the boundary behavior of holomorphic functions. This book treats normal families, normal functions, the Lindelof principle, and other related ideas. Both the analytic and the geometric approaches to the subject area are offered. The authors include many incisive examples. The book could be used as the text for a graduate research seminar. It would also be useful reading for established researchers and for budding complex analysts.
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.
Book Synopsis Bulletin of the American Mathematical Society by : American Mathematical Society
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1973 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analytic Functions of Several Complex Variables by : A. S. Wightman
Download or read book Analytic Functions of Several Complex Variables written by A. S. Wightman and published by . This book was released on 1960 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Reports of the President and the Treasurer - John Simon Guggenheim Memorial Foundation by : John Simon Guggenheim Memorial Foundation
Download or read book Reports of the President and the Treasurer - John Simon Guggenheim Memorial Foundation written by John Simon Guggenheim Memorial Foundation and published by . This book was released on 1976 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes: biographies of fellows appointed; reappointments; publications, musical compositions, academic appointments and index of fellows.
Book Synopsis Reports of the President and of the Treasurer by : John Simon Guggenheim Memorial Foundation
Download or read book Reports of the President and of the Treasurer written by John Simon Guggenheim Memorial Foundation and published by . This book was released on 1976 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Books in Series written by and published by . This book was released on 1985 with total page 1404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1980- issued in three parts: Series, Authors, and Titles.
Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1982 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Books and Serials in Print by :
Download or read book Scientific and Technical Books and Serials in Print written by and published by . This book was released on 1984 with total page 1290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
