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Book Constructive Theory of Functions of Several Variables

Download or read book Constructive Theory of Functions of Several Variables written by Karl Zeller and published by . This book was released on 1977 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Constructive Theory of Functions of Several Variables

Download or read book Constructive Theory of Functions of Several Variables written by W. Schempp and published by . This book was released on 2014-01-15 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Constructive Theory of Functions of Several Variables

Download or read book Constructive Theory of Functions of Several Variables written by W. Schempp and published by Springer. This book was released on 2006-11-15 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Constructive Theory of Functions of Several Variables

Download or read book Constructive Theory of Functions of Several Variables written by Conference on Constructive Theory of Functions of Several Variables and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Constructive Theory of Functions of Several Variables  Proceedings

Download or read book Constructive Theory of Functions of Several Variables Proceedings written by W. Schempp and published by . This book was released on 1977 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Constructive Theory of Functions of Several Variables  Proceedings of a Conference  Oberwolfach 1976  Assistance from Oberwolfach Mathematical Research Institute

Download or read book Constructive Theory of Functions of Several Variables Proceedings of a Conference Oberwolfach 1976 Assistance from Oberwolfach Mathematical Research Institute written by and published by . This book was released on 1977 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Function Theory of Several Complex Variables

Download or read book Function Theory of Several Complex Variables written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 2001 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Theory and Applications of Differentiable Functions of Several Variables

Download or read book Theory and Applications of Differentiable Functions of Several Variables written by and published by American Mathematical Soc.. This book was released on 1987 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Theory and Applications of Differentiable Functions of Several Variables  III

Download or read book Theory and Applications of Differentiable Functions of Several Variables III written by Sergei Mikhailovich Nikol'skii and published by American Mathematical Soc.. This book was released on 1971 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Theory and Applications of Differentiable Functions of Several Variables

Download or read book Theory and Applications of Differentiable Functions of Several Variables written by Lev Dmitrievich Kudri︠a︡vt︠s︡ev and published by American Mathematical Soc.. This book was released on 1994 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to Sergei Mikhailovich Nikol'skii on the occasion of his eighty-fifth birthday. The collection contains new results on the following topics: approximation of functions, imbedding theory, interpolation of function spaces, convergence of series in trigonometric and general orthogonal systems, quasilinear elliptic problems, spectral theory of nonselfadjoint operators, asymptotic properties of pseudodifferential operators, and methods of approximate solution of Laplace's equation.

Book Functions of a Complex Variable

Download or read book Functions of a Complex Variable written by Vladimir Ivanovich Smirnov and published by . This book was released on 1968 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Constructive Approximation

Download or read book Constructive Approximation written by George G. Lorentz and published by Springer. This book was released on 1996 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last 30 years, Approximation Theory has undergone wonderful develop ment, with many new theories appearing in this short interval. This book has its origin in the wish to adequately describe this development, in particular, to rewrite the short 1966 book of G. G. Lorentz, "Approximation of Functions." Soon after 1980, R. A. DeVore and Lorentz joined forces for this purpose. The outcome has been their "Constructive Approximation" (1993), volume 303 of this series. References to this book are given as, for example rCA, p.201]. Later, M. v. Golitschek and Y. Makovoz joined Lorentz to produce the present book, as a continuation of the first. Completeness has not been our goal. In some of the theories, our exposition offers a selection of important, representative theorems, some other cases are treated more systematically. As in the first book, we treat only approximation of functions of one real variable. Thus, functions of several variables, complex approximation or interpolation are not treated, although complex variable methods appear often.

Book Approximation of Functions of Several Variables and Imbedding Theorems

Download or read book Approximation of Functions of Several Variables and Imbedding Theorems written by S.M. Nikol'skii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This English translation of my book "PribliZenie Funkcir Mnogih Peremennyh i Teoremy Vlozel1iya" is identical in content with the Rus sian original, published by "Nauka" in 1969. However, I have corrected a number of errors. I am grateful to the publishing house Springer-Verlag for making my book available to mathematicians who do not know Russian. I am also especially grateful to the translator, Professor John M. Dan skin, who has fulfilled his task with painstaking care. In doing so he has showed high qualifications both as a mathematician and as a translator of Russian, which is considered by many to be a very difficult language. The discussion in this book is restricted, for the most part, to func tions everywhere defined in n-dimensional space. The study of these questions for functions given on bounded regions requires new methods. In. connection with this I note that a new book, "Integral Represen tations of Functions and Imbedding Theorems", by O.V. Besov, V.P. Il'in, and myself, has just (May 1975) been published, by the publishing house "Nauka", in Moscow. Moscow, U.S.S.R., May 1975 S.M. Nikol'skir Translator's Note I am very grateful to Professor Nikol'skir, whose knowledge of English, which is considered by many to be a very difficult language, is excellent, for much help in achieving a correct translation of his book. And I join Professor Nikol'skir in thanking Springer-Verlag. The editing problem was considerable, and the typographical problem formidable

Book Function Theory in Several Complex Variables

Download or read book Function Theory in Several Complex Variables written by Toshio Nishino and published by American Mathematical Soc.. This book was released on 2001 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Kiyoshi Oka, at the beginning of his research, regarded the collection of problems which he encountered in the study of domains of holomorphy as large mountains which separate today and tomorrow. Thus, he believed that there could be no essential progress in analysis without climbing over these mountains ... this book is a worthwhile initial step for the reader in order to understand the mathematical world which was created by Kiyoshi Oka.' -- from the Preface. This book explains results in the theory of functions of several complex variables which were mostly established from the late nineteenth century through to the middle of the twentieth century. In the work, the author introduces the mathematical world created by his advisor, Kiyoshi Oka. In this volume, Oka's work is divided into two parts. The first is the study of analytic functions in univalent domains in ${\mathbf C}n$. Here Oka proved that three concepts are equivalent: domains of holomorphy, holomorphically convex domains, and pseudoconvex domains; and moreover that the Poincaré problem, the Cousin problems, and the Runge problem, when stated properly, can be solved in domains of holomorphy satisfying the appropriate conditions. The second part of Oka's work established a method for the study of analytic functions defined in a ramified domain over ${\mathbf C}n$ in which the branch points are considered as interior points of the domain. Here analytic functions in an analytic space are treated, which is a slight generalization of a ramified domain over ${\mathbf C}n$. In writing the book, the author's goal was to bring to readers a real understanding of Oka's original papers. This volume is an English translation of the original Japanese edition, published by the University of Tokyo Press (Japan). It would make a suitable course text for advanced graduate level introductions to several complex variables.

Book Theory of Approximation of Functions of a Real Variable

Download or read book Theory of Approximation of Functions of a Real Variable written by A. F. Timan and published by Elsevier. This book was released on 2014-07-22 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Approximation of Functions of a Real Variable discusses a number of fundamental parts of the modern theory of approximation of functions of a real variable. The material is grouped around the problem of the connection between the best approximation of functions to their structural properties. This text is composed of eight chapters that highlight the relationship between the various structural properties of real functions and the character of possible approximations to them by polynomials and other functions of simple construction. Each chapter concludes with a section containing various problems and theorems, which supplement the main text. The first chapters tackle the Weierstrass's theorem, the best approximation by polynomials on a finite segment, and some compact classes of functions and their structural properties. The subsequent chapters describe some properties of algebraic polynomials and transcendental integral functions of exponential type, as well as the direct theorems of the constructive theory of functions. These topics are followed by discussions of differential and constructive characteristics of converse theorems. The final chapters explore other theorems connecting the best approximations functions with their structural properties. These chapters also deal with the linear processes of approximation of functions by polynomials. The book is intended for post-graduate students and for mathematical students taking advanced courses, as well as to workers in the field of the theory of functions.