Theory Of Functions
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The Theory of Functions of Real Variables
Author | : Lawrence M Graves |
Publsiher | : Courier Corporation |
Total Pages | : 400 |
Release | : 2012-01-27 |
Genre | : Mathematics |
ISBN | : 9780486158136 |
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This balanced introduction covers all fundamentals, from the real number system and point sets to set theory and metric spaces. Useful references to the literature conclude each chapter. 1956 edition.
Methods of the Theory of Functions of Many Complex Variables
Author | : Vasiliy Sergeyevich Vladimirov,Scripta Technica |
Publsiher | : Courier Corporation |
Total Pages | : 370 |
Release | : 2007-01-01 |
Genre | : Mathematics |
ISBN | : 9780486458120 |
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This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. Students of quantum field theory will find this text of particular value. The text begins with an introduction that defines the basic concepts and elementary propositions, along with the more salient facts from the theory of functions of real variables and the theory of generalized functions. Subsequent chapters address the theory of plurisubharmonic functions and pseudoconvex domains, along with characteristics of domains of holomorphy. These explorations are further examined in terms of four types of domains: multiple-circular, tubular, semitubular, and Hartogs' domains. Surveys of integral representations focus on the Martinelli-Bochner, Bergman-Weil, and Bochner representations. The final chapter is devoted to applications, particularly those involved in field theory. It employs the theory of generalized functions, along with the theory of functions of several complex variables.
Geometric Theory of Functions of a Complex Variable
Author | : Gennadiĭ Mikhaĭlovich Goluzin |
Publsiher | : American Mathematical Soc. |
Total Pages | : 690 |
Release | : 1969 |
Genre | : Functions of complex variables |
ISBN | : 082188655X |
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Theory of Functions Parts I and II
Author | : Konrad Knopp |
Publsiher | : Courier Corporation |
Total Pages | : 340 |
Release | : 2013-07-24 |
Genre | : Mathematics |
ISBN | : 9780486318707 |
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Handy one-volume edition. Part I considers general foundations of theory of functions; Part II stresses special and characteristic functions. Proofs given in detail. Introduction. Bibliographies.
Elementary Theory of Analytic Functions of One or Several Complex Variables
Author | : Henri Cartan |
Publsiher | : Courier Corporation |
Total Pages | : 242 |
Release | : 2013-04-22 |
Genre | : Mathematics |
ISBN | : 9780486318677 |
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Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Theory of Functions of a Real Variable Teoria Functsiy Veshchestvennoy Peremennoy Chapters I to IX
Author | : I P (Isidor Pavlovich) Natanson |
Publsiher | : Hassell Street Press |
Total Pages | : 288 |
Release | : 2021-09-09 |
Genre | : Electronic Book |
ISBN | : 1013315243 |
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This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Function Theory in the Unit Ball of Cn
Author | : W. Rudin |
Publsiher | : Springer Science & Business Media |
Total Pages | : 449 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461380986 |
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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.
Elementary Theory of L functions and Eisenstein Series
Author | : Haruzo Hida |
Publsiher | : Cambridge University Press |
Total Pages | : 404 |
Release | : 1993-02-11 |
Genre | : Mathematics |
ISBN | : 0521435692 |
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The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics in the USA, Japan, and in France, and in this book provides the reader with an elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise, and the subject is approached using only basic tools from complex analysis and cohomology theory. Graduate students wishing to know more about L-functions will find that this book offers a unique introduction to this fascinating branch of mathematics.