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Author : W. Stoll
Publisher : Springer
ISBN 13 : 3540373063
Total Pages : 223 pages
Book Rating : 4.5/5 (43 download)
Download or read book Value Distribution on Parabolic Spaces written by W. Stoll and published by Springer. This book was released on 2006-11-15 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chung-Chun Yang
Publisher : American Mathematical Soc.
ISBN 13 : 0821850253
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)
Download or read book Value Distribution Theory and Its Applications written by Chung-Chun Yang and published by American Mathematical Soc.. This book was released on 1983 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. Laine
Publisher : Springer
ISBN 13 : 354039480X
Total Pages : 256 pages
Book Rating : 4.5/5 (43 download)
Download or read book Value Distribution Theory written by I. Laine and published by Springer. This book was released on 2006-11-15 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Samuil D. Eidelman
Publisher : Birkhäuser
ISBN 13 : 3034887671
Total Pages : 307 pages
Book Rating : 4.0/5 (348 download)
Download or read book Parabolic Boundary Value Problems written by Samuil D. Eidelman and published by Birkhäuser. This book was released on 2012-12-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph is devoted to the theory of general parabolic boundary value problems. The vastness of this theory forced us to take difficult decisions in selecting the results to be presented and in determining the degree of detail needed to describe their proofs. In the first chapter we define the basic notions at the origin of the theory of parabolic boundary value problems and give various examples of illustrative and descriptive character. The main part of the monograph (Chapters II to V) is devoted to a the detailed and systematic exposition of the L -theory of parabolic 2 boundary value problems with smooth coefficients in Hilbert spaces of smooth functions and distributions of arbitrary finite order and with some natural appli cations of the theory. Wishing to make the monograph more informative, we included in Chapter VI a survey of results in the theory of the Cauchy problem and boundary value problems in the traditional spaces of smooth functions. We give no proofs; rather, we attempt to compare different results and techniques. Special attention is paid to a detailed analysis of examples illustrating and complementing the results for mulated. The chapter is written in such a way that the reader interested only in the results of the classical theory of the Cauchy problem and boundary value problems may concentrate on it alone, skipping the previous chapters.
Author : Boris Vladimirovich Shabat
Publisher : American Mathematical Soc.
ISBN 13 : 9780821898116
Total Pages : 236 pages
Book Rating : 4.8/5 (981 download)
Download or read book Distribution of Values of Holomorphic Mappings written by Boris Vladimirovich Shabat and published by American Mathematical Soc.. This book was released on 1985-12-31 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: A vast literature has grown up around the value distribution theory of meromorphic functions, synthesized by Rolf Nevanlinna in the 1920s and singled out by Hermann Weyl as one of the greatest mathematical achievements of this century. The multidimensional aspect, involving the distribution of inverse images of analytic sets under holomorphic mappings of complex manifolds, has not been fully treated in the literature. This volume thus provides a valuable introduction to multivariate value distribution theory and a survey of some of its results, rich in relations to both algebraic and differential geometry and surely one of the most important branches of the modern geometric theory of functions of a complex variable. Since the book begins with preparatory material from the contemporary geometric theory of functions, only a familiarity with the elements of multidimensional complex analysis is necessary background to understand the topic. After proving the two main theorems of value distribution theory, the author goes on to investigate further the theory of holomorphic curves and to provide generalizations and applications of the main theorems, focusing chiefly on the work of Soviet mathematicians.
Author : Grigor A. Barsegian
Publisher : Springer Science & Business Media
ISBN 13 : 1402079516
Total Pages : 331 pages
Book Rating : 4.4/5 (2 download)
Download or read book Value Distribution Theory and Related Topics written by Grigor A. Barsegian and published by Springer Science & Business Media. This book was released on 2006-05-02 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Nevanlinna theory of value distribution of meromorphic functions, one of the milestones of complex analysis during the last century, was c- ated to extend the classical results concerning the distribution of of entire functions to the more general setting of meromorphic functions. Later on, a similar reasoning has been applied to algebroid functions, subharmonic functions and meromorphic functions on Riemann surfaces as well as to - alytic functions of several complex variables, holomorphic and meromorphic mappings and to the theory of minimal surfaces. Moreover, several appli- tions of the theory have been exploited, including complex differential and functional equations, complex dynamics and Diophantine equations. The main emphasis of this collection is to direct attention to a number of recently developed novel ideas and generalizations that relate to the - velopment of value distribution theory and its applications. In particular, we mean a recent theory that replaces the conventional consideration of counting within a disc by an analysis of their geometric locations. Another such example is presented by the generalizations of the second main theorem to higher dimensional cases by using the jet theory. Moreover, s- ilar ideas apparently may be applied to several related areas as well, such as to partial differential equations and to differential geometry. Indeed, most of these applications go back to the problem of analyzing zeros of certain complex or real functions, meaning in fact to investigate level sets or level surfaces.
Author : Wilhelm Stoll
Publisher : Springer Science & Business Media
ISBN 13 : 3663052923
Total Pages : 358 pages
Book Rating : 4.6/5 (63 download)
Download or read book Value Distribution Theory for Meromorphic Maps written by Wilhelm Stoll and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Value distribution theory studies the behavior of mermorphic maps. Let f: M - N be a merom orphic map between complex manifolds. A target family CI ~ (Ea1aEA of analytic subsets Ea of N is given where A is a connected. compact complex manifold. The behavior of the inverse 1 family ["'(CI) = (f- {E )laEA is investigated. A substantial theory has been a created by many contributors. Usually the targets Ea stay fixed. However we can consider a finite set IJ of meromorphic maps g : M - A and study the incidence f{z) E Eg(z) for z E M and some g E IJ. Here we investigate this situation: M is a parabolic manifold of dimension m and N = lP n is the n-dimensional projective space. The family of hyperplanes in lP n is the target family parameterized by the dual projective space lP* We obtain a Nevanlinna theory consisting of several n First Main Theorems. Second Main Theorems and Defect Relations and extend recent work by B. Shiffman and by S. Mori. We use the Ahlfors-Weyl theory modified by the curvature method of Cowen and Griffiths. The Introduction consists of two parts. In Part A. we sketch the theory for fixed targets to provide background for those who are familar with complex analysis but are not acquainted with value distribution theory.
Author : George Lawrence Ashline
Publisher : American Mathematical Soc.
ISBN 13 : 0821810693
Total Pages : 95 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Defect Relation of Meromorphic Maps on Parabolic Manifolds written by George Lawrence Ashline and published by American Mathematical Soc.. This book was released on 1999 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians working in several complex variables and analytic spaces.
Author : S Tangmanee
Publisher : World Scientific
ISBN 13 : 9814545783
Total Pages : 634 pages
Book Rating : 4.8/5 (145 download)
Download or read book Proceedings Of The Second Asian Mathematical Conference 1995 written by S Tangmanee and published by World Scientific. This book was released on 1998-02-17 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume covers the main fields of mathematics: analysis, algebra and number theory, geometry and topology, combinatorics and graphs, applied mathematics, numerical analysis and computer mathematics, probability and statistics, teaching and popularization of mathematics.
Author : P. Bernard
Publisher : Springer
ISBN 13 : 3540370749
Total Pages : 165 pages
Book Rating : 4.5/5 (43 download)
Download or read book Turbulence Seminar written by P. Bernard and published by Springer. This book was released on 2006-11-15 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shoshichi Kobayashi
Publisher : Springer Science & Business Media
ISBN 13 : 3662035820
Total Pages : 480 pages
Book Rating : 4.6/5 (62 download)
Download or read book Hyperbolic Complex Spaces written by Shoshichi Kobayashi and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry. This book gives a comprehensive and systematic account on the Carathéodory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods. A very complete list of references should be useful for prospective researchers in this area.
Author : J. Novak
Publisher : Springer
ISBN 13 : 3540371087
Total Pages : 246 pages
Book Rating : 4.5/5 (43 download)
Download or read book General Topology and Its Relations to Modern Analysis and Algebra IV written by J. Novak and published by Springer. This book was released on 2006-11-15 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J Noguchi
Publisher : World Scientific
ISBN 13 : 9814548596
Total Pages : 738 pages
Book Rating : 4.8/5 (145 download)
Download or read book Geometric Complex Analysis - Proceedings Of The Third International Research Institute Of Mathematical Society Of Japan written by J Noguchi and published by World Scientific. This book was released on 1996-05-09 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings is a collection of articles in several complex variables with emphasis on geometric methods and results, which includes several survey papers reviewing the development of the topics in these decades. Through this volume one can see an active field providing insight into other fields like algebraic geometry, dynamical systems and partial differential equations.
Author : Library of Congress. Copyright Office
Publisher : Copyright Office, Library of Congress
ISBN 13 :
Total Pages : 1914 pages
Book Rating : 4.F/5 ( download)
Download or read book Catalog of Copyright Entries. Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1979 with total page 1914 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 9780387988009
Total Pages : 420 pages
Book Rating : 4.9/5 (88 download)
Download or read book Collected Papers III written by Serge Lang and published by Springer Science & Business Media. This book was released on 2000-07-19 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer. He has made innumerable and invaluable contributions in diverse fields of mathematics and was honoured with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences. Here, 83 of his research papers are collected in four volumes, ranging over a variety of topics of interest to many readers.
Author : Junjirō Noguchi
Publisher : American Mathematical Soc.
ISBN 13 : 9780821845332
Total Pages : 292 pages
Book Rating : 4.8/5 (453 download)
Download or read book Geometric Function Theory in Several Complex Variables written by Junjirō Noguchi and published by American Mathematical Soc.. This book was released on 1990 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: An English translation of a book that first appeared in Japanese. It provides an account of recent developments in geometric function theory in several complex variables and presents fundamental descriptions of positive currents, plurisubharmonic functions and meromorphic mappings.
Author : John Erik Fornæss
Publisher : Princeton University Press
ISBN 13 : 9780691082813
Total Pages : 478 pages
Book Rating : 4.0/5 (828 download)
Download or read book Recent Developments in Several Complex Variables written by John Erik Fornæss and published by Princeton University Press. This book was released on 1981-08-21 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic treatment of complex variables from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
