Lectures on the Edge-of-the-Wedge Theorem PDF Download
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Author: Walter Rudin
Publisher: American Mathematical Soc.
ISBN: 0821816551
Category : Mathematics
Languages : en
Pages : 42
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Book Description
Author: Walter Rudin
Publisher: American Mathematical Soc.
ISBN: 0821816551
Category : Mathematics
Languages : en
Pages : 42
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Book Description
Author: Michael Oser Rabin
Publisher: American Mathematical Soc.
ISBN: 9780821888629
Category : Mathematics
Languages : en
Pages : 36
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Book Description
Nothing provided
Author: Sigurdur Helgason
Publisher: American Mathematical Soc.
ISBN: 0821816640
Category : Mathematics
Languages : en
Pages : 72
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Book Description
Gives a treatment of differential equations on a $C DEGREES\infty$ manifold $V$ by separation of variables tech
Author: R.C. Gunning
Publisher: Routledge
ISBN: 1351436910
Category : Mathematics
Languages : en
Pages : 218
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Book Description
Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties. Each volume covers a different aspect andcan be read independently.
Author: R.C. Gunning
Publisher: CRC Press
ISBN: 9780534133085
Category : Mathematics
Languages : en
Pages : 228
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Book Description
Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties. Each volume covers a different aspect andcan be read independently.
Author: R.C. Gunning
Publisher: Routledge
ISBN: 1351436937
Category : Mathematics
Languages : en
Pages : 228
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Book Description
Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties. Each volume covers a different aspect andcan be read independently.
Author: Ludger Kaup
Publisher: Walter de Gruyter
ISBN: 3110838354
Category : Mathematics
Languages : en
Pages : 369
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Book Description
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic Models for Fractional Calculus, second edition (2018) Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Kezheng Li, Group Schemes and Their Actions (2019; together with Tsinghua University Press) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)
Author: Junjirō Noguchi
Publisher: Springer Nature
ISBN: 9819720567
Category : Functions of several complex variables
Languages : en
Pages : 232
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Book Description
This book provides a new, comprehensive, and self-contained account of Oka theory as an introduction to function theory of several complex variables, mainly concerned with the Three Big Problems (Approximation, Cousin, Pseudoconvexity) that were solved by Kiyoshi Oka and form the basics of the theory. The purpose of the volume is to serve as a textbook in lecture courses right after complex function theory of one variable. The presentation aims to be readable and enjoyable both for those who are beginners in mathematics and for researchers interested in complex analysis in several variables and complex geometry. The nature of the present book is evinced by its approach following Oka's unpublished five papers of 1943 with his guiding methodological principle termed the "Joku-Iko Principle", where historically the Pseudoconvexity Problem (Hartogs, Levi) was first solved in all dimensions, even for unramified Riemann domains as well. The method that is used in the book is elementary and direct, not relying on the cohomology theory of sheaves nor on the L2-∂-bar method, but yet reaches the core of the theory with the complete proofs. Two proofs for Levi's Problem are provided: One is Oka's original with the Fredholm integral equation of the second kind combined with the Joku-Iko Principle, and the other is Grauert's by the well-known "bumping-method" with L. Schwartz's Fredholm theorem, of which a self-contained, rather simple and short proof is given. The comparison of them should be interesting even for specialists. In addition to the Three Big Problems, other basic material is dealt with, such as Poincaré's non-biholomorphism between balls and polydisks, the Cartan-Thullen theorem on holomorphic convexity, Hartogs' separate analyticity, Bochner's tube theorem, analytic interpolation, and others. It is valuable for students and researchers alike to look into the original works of Kiyoshi Oka, which are not easy to find in books or monographs.
Author: Steven George Krantz
Publisher: American Mathematical Soc.
ISBN: 0821827243
Category : Mathematics
Languages : en
Pages : 586
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Book Description
Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.
Author: Sergey Pinchuk
Publisher: Springer Nature
ISBN: 3031371496
Category : Mathematics
Languages : en
Pages : 217
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Book Description
This monograph explores the problem of boundary regularity and analytic continuation of holomorphic mappings between domains in complex Euclidean spaces. Many important methods and techniques in several complex variables have been developed in connection with these questions, and the goal of this book is to introduce the reader to some of these approaches and to demonstrate how they can be used in the context of boundary properties of holomorphic maps. The authors present substantial results concerning holomorphic mappings in several complex variables with improved and often simplified proofs. Emphasis is placed on geometric methods, including the Kobayashi metric, the Scaling method, Segre varieties, and the Reflection principle. Geometry of Holomorphic Mappings will provide a valuable resource for PhD students in complex analysis and complex geometry; it will also be of interest to researchers in these areas as a reference.
