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Author : Szolem Mandelbrojt
Publisher :
ISBN 13 :
Total Pages : 740 pages
Book Rating : 4.F/5 ( download)
Download or read book Analytic Functions and Classes of Infinitely Differentiable Functions written by Szolem Mandelbrojt and published by . This book was released on 1942 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nikolai A. Shirokov
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.3/5 (91 download)
Download or read book Analytic Functions Smooth Up to the Boundary written by Nikolai A. Shirokov and published by Lecture Notes in Mathematics. This book was released on 1988-05-11 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph concerns the Nevanlinna factorization of analytic functions smooth, in a sense, up to the boundary. The peculiar properties of such a factorization are investigated for the most common classes of Lipschitz-like analytic functions. The book sets out to create a satisfactory factorization theory as exists for Hardy classes. The reader will find, among other things, the theorem on smoothness for the outer part of a function, the generalization of the theorem of V.P. Havin and F.A. Shamoyan also known in the mathematical lore as the unpublished Carleson-Jacobs theorem, the complete description of the zero-set of analytic functions continuous up to the boundary, generalizing the classical Carleson-Beurling theorem, and the structure of closed ideals in the new wide range of Banach algebras of analytic functions. The first three chapters assume the reader has taken a standard course on one complex variable; the fourth chapter requires supplementary papers cited there. The monograph addresses both final year students and doctoral students beginning to work in this area, and researchers who will find here new results, proofs and methods.
Author : G. V. Badalyan
Publisher : American Mathematical Soc.
ISBN 13 : 9780821898031
Total Pages : 204 pages
Book Rating : 4.8/5 (98 download)
Download or read book Quasipower Series and Quasianalytic Classes of Functions written by G. V. Badalyan and published by American Mathematical Soc.. This book was released on 2002-11-12 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: A certain class of functions $C$ on an interval is called quasianalytic if any function in $C$ is uniquely determined by the values of its derivatives at any point. The obvious question, then, is how to reconstruct such a function from the sequence of values of its derivatives at a certain point. In order to answer that question, Badalyan combines a study of expanding functions in generalized factorial series with a study of quasipower series. The theory of quasipower series and its application to the reconstruction problem are explained in detail in this research monograph. Along the way other, related problems are solved, such as Borel's hypothesis that no quasianalytic function can have all positive derivatives at a point. While the treatment is technical, the theory is developed chapter by chapter in detail, and the first chapter is of an introductory nature. The quasipower series technique explained here provides the means to extend the previously known results and elucidates their nature in the most relevant manner. This method also allows for thorough investigation of numerous problems of the theory of functions of quasianalytic classes by graduate students and research mathematicians.
Author : Brian S. Thomson
Publisher : ClassicalRealAnalysis.com
ISBN 13 : 143484367X
Total Pages : 685 pages
Book Rating : 4.4/5 (348 download)
Download or read book Elementary Real Analysis written by Brian S. Thomson and published by ClassicalRealAnalysis.com. This book was released on 2008 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the text Elementary Real Analysis originally published by Prentice Hall (Pearson) in 2001.Chapter 1. Real NumbersChapter 2. SequencesChapter 3. Infinite sumsChapter 4. Sets of real numbersChapter 5. Continuous functionsChapter 6. More on continuous functions and setsChapter 7. Differentiation Chapter 8. The IntegralChapter 9. Sequences and series of functionsChapter 10. Power seriesChapter 11. Euclidean Space R^nChapter 12. Differentiation on R^nChapter 13. Metric Spaces
Author : KRANTZ
Publisher : Birkhäuser
ISBN 13 : 3034876440
Total Pages : 190 pages
Book Rating : 4.0/5 (348 download)
Download or read book A Primer of Real Analytic Functions written by KRANTZ and published by Birkhäuser. This book was released on 2013-03-09 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob lem for real analytic manifolds. We have had occasion in our collaborative research to become ac quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly.
Author : A. I. Markushevich
Publisher : American Mathematical Soc.
ISBN 13 : 082183780X
Total Pages : 1178 pages
Book Rating : 4.8/5 (218 download)
Download or read book Theory of Functions of a Complex Variable written by A. I. Markushevich and published by American Mathematical Soc.. This book was released on 2013 with total page 1178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gordon Thomas Whyburn
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.3/5 (91 download)
Download or read book Developments in Topological Analysis written by Gordon Thomas Whyburn and published by . This book was released on 1962 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph Fels Ritt
Publisher :
ISBN 13 : 9780231915960
Total Pages : 0 pages
Book Rating : 4.9/5 (159 download)
Download or read book Integration in Finite Terms written by Joseph Fels Ritt and published by . This book was released on 1948 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives an account of Liouville's theory of integration in finite terms -- his determination of the form which the integral of an algebraic function must have when the integral can be expressed with the operations of elementary mathematical analysis, carried out a finite number of times -- and the work of some of his followers.
Author : Nihon Sūgakkai
Publisher : MIT Press
ISBN 13 : 9780262590204
Total Pages : 1180 pages
Book Rating : 4.5/5 (92 download)
Download or read book Encyclopedic Dictionary of Mathematics written by Nihon Sūgakkai and published by MIT Press. This book was released on 1993 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.1. A.N. v.2. O.Z. Apendices and indexes.
Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821895535
Total Pages : 216 pages
Book Rating : 4.8/5 (955 download)
Download or read book Twelve Papers in Analysis written by and published by American Mathematical Soc.. This book was released on 1980-12-31 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A.I. Stepanets
Publisher : Springer Science & Business Media
ISBN 13 : 9401101159
Total Pages : 373 pages
Book Rating : 4.4/5 (11 download)
Download or read book Classification and Approximation of Periodic Functions written by A.I. Stepanets and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph proposes a new classification of periodic functions, based on the concept of generalized derivative, defined by introducing multiplicators and shifts of the argument into the Fourier series of the original function. This approach permits the classification of a wide range of functions, including those of which the Fourier series may diverge in integral metric, smooth functions, and infinitely differentiable functions, including analytical and entire ones. These newly introduced classes are then investigated using the traditional problems of the theory of approximation. The results thus obtained offer a new way to look at classical statements for the approximation of differentiable functions, and suggest possibilities to discover new effects. Audience: valuable reading for experts in the field of mathematical analysis and researchers and graduate students interested in the applications of the theory of approximation and Fourier series.
Author : Andrei Raigorodskii
Publisher : Springer Nature
ISBN 13 : 3030379043
Total Pages : 313 pages
Book Rating : 4.0/5 (33 download)
Download or read book Trigonometric Sums and Their Applications written by Andrei Raigorodskii and published by Springer Nature. This book was released on 2020-03-11 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the formulation and understanding of a broad spectrum of problems which range over surprisingly many and different research areas. Fundamental and new developments are presented to discern solutions to problems across several scientific disciplines. Graduate students and researchers will find within this book numerous examples and a plethora of results related to trigonometric sums through pure and applied research along with open problems and new directions for future research.
Author : Vladislav K. Dzyadyk
Publisher : Walter de Gruyter
ISBN 13 : 3110208245
Total Pages : 497 pages
Book Rating : 4.1/5 (12 download)
Download or read book Theory of Uniform Approximation of Functions by Polynomials written by Vladislav K. Dzyadyk and published by Walter de Gruyter. This book was released on 2008-09-25 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, Weierstraß theorems, smoothness of functions, and continuation of functions.
Author : Vladimir I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 3642017428
Total Pages : 500 pages
Book Rating : 4.6/5 (42 download)
Download or read book Vladimir I. Arnold - Collected Works written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 2009-10-22 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vladimir Arnold is one of the greatest mathematical scientists of our time, as well as one of the finest, most prolific mathematical authors. This first volume of his Collected Works focuses on representations of functions, celestial mechanics and KAM theory.
Author : Isidor Pavlovich Natanson
Publisher :
ISBN 13 :
Total Pages : 412 pages
Book Rating : 4.:/5 ( download)
Download or read book Constructive Theory of Functions written by Isidor Pavlovich Natanson and published by . This book was released on 1961 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. S. Budjanu
Publisher : American Mathematical Soc.
ISBN 13 : 9780821895481
Total Pages : 198 pages
Book Rating : 4.8/5 (954 download)
Download or read book Nine Papers on Analysis written by M. S. Budjanu and published by American Mathematical Soc.. This book was released on 1977-12-31 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S.L. Sobolev
Publisher : Springer Science & Business Media
ISBN 13 : 9780792346319
Total Pages : 444 pages
Book Rating : 4.3/5 (463 download)
Download or read book The Theory of Cubature Formulas written by S.L. Sobolev and published by Springer Science & Business Media. This book was released on 1997-06-30 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and conventional integrals over a bounded domain of integration. The latter is assumed to have a piecewise-smooth boundary and to be arbitrary in other aspects. Particular emphasis is placed on invariant cubature formulas and those for a cube, a simplex, and other polyhedra. Here, the techniques of functional analysis and partial differential equations are applied to the classical problem of numerical integration, to establish many important and deep analytical properties of cubature formulas. The prerequisites of the theory of many-dimensional discrete function spaces and the theory of finite differences are concisely presented. Special attention is paid to constructing and studying the optimal cubature formulas in Sobolev spaces. As an asymptotically optimal sequence of cubature formulas, a many-dimensional abstraction of the Gregory quadrature is indicated. Audience: This book is intended for researchers having a basic knowledge of functional analysis who are interested in the applications of modern theoretical methods to numerical mathematics.
