Function Theory In The Unit Ball Of Cn

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Function Theory in the Unit Ball of Cn

Author : W. Rudin
Publisher : Springer Science & Business Media
ISBN 13 : 1461380987
Total Pages : 449 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Function Theory in the Unit Ball of Cn by : W. Rudin

Download or read book Function Theory in the Unit Ball of Cn written by W. Rudin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Around 1970, an abrupt change occurred in the study of holomorphic functions of several complex variables. Sheaves vanished into the back ground, and attention was focused on integral formulas and on the "hard analysis" problems that could be attacked with them: boundary behavior, complex-tangential phenomena, solutions of the J-problem with control over growth and smoothness, quantitative theorems about zero-varieties, and so on. The present book describes some of these developments in the simple setting of the unit ball of en. There are several reasons for choosing the ball for our principal stage. The ball is the prototype of two important classes of regions that have been studied in depth, namely the strictly pseudoconvex domains and the bounded symmetric ones. The presence of the second structure (i.e., the existence of a transitive group of automorphisms) makes it possible to develop the basic machinery with a minimum of fuss and bother. The principal ideas can be presented quite concretely and explicitly in the ball, and one can quickly arrive at specific theorems of obvious interest. Once one has seen these in this simple context, it should be much easier to learn the more complicated machinery (developed largely by Henkin and his co-workers) that extends them to arbitrary strictly pseudoconvex domains. In some parts of the book (for instance, in Chapters 14-16) it would, however, have been unnatural to confine our attention exclusively to the ball, and no significant simplifications would have resulted from such a restriction.

Function Theory in the Unit Ball of Cn

Author :
Publisher :
ISBN 13 : 9787510052699
Total Pages : 436 pages
Book Rating : 4.0/5 (526 download)

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Book Synopsis Function Theory in the Unit Ball of Cn by :

Download or read book Function Theory in the Unit Ball of Cn written by and published by . This book was released on 1980 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Two Problems in the Function Theory of the Unit Ball of /Cn

Author : Muddappa Seetharama Gowda
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (46 download)

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Book Synopsis Two Problems in the Function Theory of the Unit Ball of /Cn by : Muddappa Seetharama Gowda

Download or read book Two Problems in the Function Theory of the Unit Ball of /Cn written by Muddappa Seetharama Gowda and published by . This book was released on 1982 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function theory in the unit ball of C.

Author : Walter Rudin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (164 download)

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Book Synopsis Function theory in the unit ball of C. by : Walter Rudin

Download or read book Function theory in the unit ball of C. written by Walter Rudin and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function Theory in the Unit Ball of PHI N

Author : Walter Rudin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (77 download)

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Book Synopsis Function Theory in the Unit Ball of PHI N by : Walter Rudin

Download or read book Function Theory in the Unit Ball of PHI N written by Walter Rudin and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Constructions of Functions Holomorphic in the Unit Ball of CN

Author : Walter Rudin
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889084
Total Pages : 100 pages
Book Rating : 4.8/5 (89 download)

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Book Synopsis New Constructions of Functions Holomorphic in the Unit Ball of CN by : Walter Rudin

Download or read book New Constructions of Functions Holomorphic in the Unit Ball of CN written by Walter Rudin and published by American Mathematical Soc.. This book was released on 1986 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function Theory in the Unit Ball of N

Author : Walter Rudin
Publisher :
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.:/5 (8 download)

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Book Synopsis Function Theory in the Unit Ball of N by : Walter Rudin

Download or read book Function Theory in the Unit Ball of N written by Walter Rudin and published by . This book was released on 1980 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Constructions of Functions Holomorphic in the Unit Ball of $C^n$

Author : Walter Rudin
Publisher : American Mathematical Soc.
ISBN 13 : 0821807137
Total Pages : 96 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis New Constructions of Functions Holomorphic in the Unit Ball of $C^n$ by : Walter Rudin

Download or read book New Constructions of Functions Holomorphic in the Unit Ball of $C^n$ written by Walter Rudin and published by American Mathematical Soc.. This book was released on 1986 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uses as a starting point A B Aleksandrov's proof that nonconstant inner functions exist in the unit ball $B$ of $C DEGREESn$. This title simplifies the construction of such functions by using certain homogeneous polynomials discovered by Ryll and Wojtaszczyk; this yields solutions to a large number of pr

Two Problems in the Function Theory of the Unit Ball of Ǹ

Author : Muddappa Seetharama Gowda
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Two Problems in the Function Theory of the Unit Ball of Ǹ by : Muddappa Seetharama Gowda

Download or read book Two Problems in the Function Theory of the Unit Ball of Ǹ written by Muddappa Seetharama Gowda and published by . This book was released on 1982 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function Theory in the Unit Ball of [n-dimensional Complex Space]

Author : Walter Rudin
Publisher :
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.:/5 (8 download)

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Book Synopsis Function Theory in the Unit Ball of [n-dimensional Complex Space] by : Walter Rudin

Download or read book Function Theory in the Unit Ball of [n-dimensional Complex Space] written by Walter Rudin and published by . This book was released on 1980 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Invariant Potential Theory in the Unit Ball of Cn

Author : Manfred Stoll
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.

Geometric Function Theory in Several Complex Variables

Author : Carl H. FitzGerald
Publisher : World Scientific
ISBN 13 : 9789812702500
Total Pages : 360 pages
Book Rating : 4.7/5 (25 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 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.

Spaces of Holomorphic Functions in the Unit Ball

Author : Kehe Zhu
Publisher : Springer Science & Business Media
ISBN 13 : 0387275398
Total Pages : 281 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Spaces of Holomorphic Functions in the Unit Ball by : Kehe Zhu

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

Complex Analysis and Potential Theory

Author : Andre Boivin
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 Higher Dimension

Author : Filippo Bracci
Publisher : Springer
ISBN 13 : 3319731262
Total Pages : 185 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Geometric Function Theory in Higher Dimension by : Filippo Bracci

Download or read book Geometric Function Theory in Higher Dimension written by Filippo Bracci and published by Springer. This book was released on 2018-03-24 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book collects the most relevant outcomes from the INdAM Workshop “Geometric Function Theory in Higher Dimension” held in Cortona on September 5-9, 2016. The Workshop was mainly devoted to discussions of basic open problems in the area, and this volume follows the same line. In particular, it offers a selection of original contributions on Loewner theory in one and higher dimensions, semigroups theory, iteration theory and related topics. Written by experts in geometric function theory in one and several complex variables, it focuses on new research frontiers in this area and on challenging open problems. The book is intended for graduate students and researchers working in complex analysis, several complex variables and geometric function theory.

Geometric Function Theory In Several Complex Variables, Proceedings Of A Satellite Conference To The Int'l Congress Of Mathematicians In Beijing 2002

Download Geometric Function Theory In Several Complex Variables, Proceedings Of A Satellite Conference To The Int'l Congress Of Mathematicians In Beijing 2002 PDF Online Free

Author : Sheng Gong
Publisher : World Scientific
ISBN 13 : 9814481912
Total Pages : 353 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Geometric Function Theory In Several Complex Variables, Proceedings Of A Satellite Conference To The Int'l Congress Of Mathematicians In Beijing 2002 by : Sheng Gong

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.

Lectures on Analytic Function Spaces and their Applications

Author : Javad Mashreghi
Publisher : Springer Nature
ISBN 13 : 3031335724
Total Pages : 426 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Lectures on Analytic Function Spaces and their Applications by : Javad Mashreghi

Download or read book Lectures on Analytic Function Spaces and their Applications written by Javad Mashreghi and published by Springer Nature. This book was released on 2023-11-14 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics and engineering. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins—the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b)—have also garnered attention in recent decades. Leading experts on function spaces gathered and discussed new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains. With over 250 hours of lectures by prominent mathematicians, the program spanned a wide variety of topics. More explicitly, there were courses and workshops on Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Blaschke Products and Inner Functions, and Convergence of Scattering Data and Non-linear Fourier Transform, among others. At the end of each week, there was a high-profile colloquium talk on the current topic. The program also contained two advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions. This volume features the courses given on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Semigroups of weighted composition operators on spaces of holomorphic functions, the Corona Problem, Non-commutative Function Theory, and Drury-Arveson Space. This volume is a valuable resource for researchers interested in analytic function spaces.