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Author : Yan Zhao
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (557 download)
Download or read book Rational Interpolation of Meromorphic Functions in Several Complex Variables written by Yan Zhao and published by . This book was released on 1999 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. L. Walsh
Publisher : American Mathematical Soc.
ISBN 13 : 0821810200
Total Pages : 418 pages
Book Rating : 4.8/5 (218 download)
Download or read book Interpolation and Approximation by Rational Functions in the Complex Domain written by J. L. Walsh and published by American Mathematical Soc.. This book was released on 1935-12-31 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.
Author : GAIER
Publisher : Springer Science & Business Media
ISBN 13 : 1461248140
Total Pages : 207 pages
Book Rating : 4.4/5 (612 download)
Download or read book Lectures on Complex Approximation written by GAIER and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of General Relativity, after its invention by Albert Einstein, remained for many years a monument of mathemati cal speculation, striking in its ambition and its formal beauty, but quite separated from the main stream of modern Physics, which had centered, after the early twenties, on quantum mechanics and its applications. In the last ten or fifteen years, however, the situation has changed radically. First, a great deal of significant exper~en tal data became available. Then important contributions were made to the incorporation of general relativity into the framework of quantum theory. Finally, in the last three years, exciting devel opments took place which have placed general relativity, and all the concepts behind it, at the center of our understanding of par ticle physics and quantum field theory. Firstly, this is due to the fact that general relativity is really the "original non-abe lian gauge theory," and that our description of quantum field in teractions makes extensive use of the concept of gauge invariance. Secondly, the ideas of supersymmetry have enabled theoreticians to combine gravity with other elementary particle interactions, and to construct what is perhaps the first approach to a more finite quantum theory of gravitation, which is known as super gravity.
Author : Hans Wallin
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.:/5 (185 download)
Download or read book Rational interpolation to meromorphic functions written by Hans Wallin and published by . This book was released on 1980 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Alan Scales
Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.:/5 (318 download)
Download or read book Interpolation with Meromorphic Functions of Minimal Norm written by William Alan Scales and published by . This book was released on 1982 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1264 pages
Book Rating : 4.3/5 (243 download)
Download or read book OAR Cumulative Index of Research Results written by and published by . This book was released on 1967 with total page 1264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Adam Korányi
Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.:/5 (494 download)
Download or read book Operator-theoretic Methods Applied to Interpolation Problems for Functions of Several Complex Variables written by Adam Korányi and published by . This book was released on 1959 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Alpay
Publisher : Birkhäuser
ISBN 13 : 3034882157
Total Pages : 420 pages
Book Rating : 4.0/5 (348 download)
Download or read book Interpolation Theory, Systems Theory and Related Topics written by Daniel Alpay and published by Birkhäuser. This book was released on 2012-12-06 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Harry Dym, a leading expert in operator theory, on the occasion of his sixtieth birthday. The book opens with an autobiographical sketch, a list of publications and a personal account of I. Gohberg on his collaboration with Harry Dym. The mathematical papers cover Krein space operator theory, Schur analysis and interpolation, several complex variables and Riemann surfaces, matrix theory, system theory, and differential equations and mathematical physics. The book is of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.
Author : Victor P. Havin
Publisher : Springer
ISBN 13 : 3540483683
Total Pages : 529 pages
Book Rating : 4.5/5 (44 download)
Download or read book Linear and Complex Analysis Problem Book 3 written by Victor P. Havin and published by Springer. This book was released on 2006-12-08 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2-volume-book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research. This new edition, created in a joint effort by a large team of analysts, is, like its predecessor, a collection of unsolved problems of modern analysis designed as informally written mini-articles, each containing not only a statement of a problem but also historical and metho- dological comments, motivation, conjectures and discussion of possible connections, of plausible approaches as well as a list of references. There are now 342 of these mini- articles, almost twice as many as in the previous edition, despite the fact that a good deal of them have been solved!
Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 9780821839621
Total Pages : 536 pages
Book Rating : 4.8/5 (396 download)
Download or read book Function Theory of One Complex Variable written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples andexercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem,and the Bergman kernel. The authors also treat $Hp$ spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.
Author : Toka Diagana
Publisher : Nova Publishers
ISBN 13 : 9781600213311
Total Pages : 173 pages
Book Rating : 4.2/5 (133 download)
Download or read book Trends in African Diaspora Mathematics Research written by Toka Diagana and published by Nova Publishers. This book was released on 2007 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The African Diaspora presents mathematical research of highest rank. It offers a forum for mathematical research with some emphasis on the contributions of all African mathematicians and the rich connections between all African universities and those of other continents. This includes the Denjoy integral, equivalent cohomology, semi-linear equations, rational approximants, automorphic solutions and characterisations of mulitvariate exponential families.
Author : Javad Mashreghi
Publisher : Springer Science & Business Media
ISBN 13 : 1461453410
Total Pages : 324 pages
Book Rating : 4.4/5 (614 download)
Download or read book Blaschke Products and Their Applications written by Javad Mashreghi and published by Springer Science & Business Media. This book was released on 2012-10-05 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Blaschke Products and Their Applications presents a collection of survey articles that examine Blaschke products and several of its applications to fields such as approximation theory, differential equations, dynamical systems, harmonic analysis, to name a few. Additionally, this volume illustrates the historical roots of Blaschke products and highlights key research on this topic. For nearly a century, Blaschke products have been researched. Their boundary behaviour, the asymptomatic growth of various integral means and their derivatives, their applications within several branches of mathematics, and their membership in different function spaces and their dynamics, are a few examples of where Blaschke products have shown to be important. The contributions written by experts from various fields of mathematical research will engage graduate students and researches alike, bringing the reader to the forefront of research in the topic. The readers will also discover the various open problems, enabling them to better pursue their own research.
Author : Kichoon Yang
Publisher :
ISBN 13 : 9789401591522
Total Pages : 220 pages
Book Rating : 4.5/5 (915 download)
Download or read book Meromorphic Functions and Projective Curves written by Kichoon Yang and published by . This book was released on 2014-09-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Amnon Jakimovski
Publisher : Springer Science & Business Media
ISBN 13 : 1402041756
Total Pages : 303 pages
Book Rating : 4.4/5 (2 download)
Download or read book Walsh Equiconvergence of Complex Interpolating Polynomials written by Amnon Jakimovski and published by Springer Science & Business Media. This book was released on 2007-05-16 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of the various old and new results, centered around the following simple and beautiful observation of J.L. Walsh - If a function is analytic in a finite disc, and not in a larger disc, then the difference between the Lagrange interpolant of the function, at the roots of unity, and the partial sums of the Taylor series, about the origin, tends to zero in a larger disc than the radius of convergence of the Taylor series, while each of these operators converges only in the original disc. This book will be particularly useful for researchers in approximation and interpolation theory.
Author :
Publisher :
ISBN 13 :
Total Pages : 856 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2000 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. C. Antoulas
Publisher : SIAM
ISBN 13 : 1611976081
Total Pages : 244 pages
Book Rating : 4.6/5 (119 download)
Download or read book Interpolatory Methods for Model Reduction written by A. C. Antoulas and published by SIAM. This book was released on 2020-01-13 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical systems are a principal tool in the modeling, prediction, and control of a wide range of complex phenomena. As the need for improved accuracy leads to larger and more complex dynamical systems, direct simulation often becomes the only available strategy for accurate prediction or control, inevitably creating a considerable burden on computational resources. This is the main context where one considers model reduction, seeking to replace large systems of coupled differential and algebraic equations that constitute high fidelity system models with substantially fewer equations that are crafted to control the loss of fidelity that order reduction may induce in the system response. Interpolatory methods are among the most widely used model reduction techniques, and Interpolatory Methods for Model Reduction is the first comprehensive analysis of this approach available in a single, extensive resource. It introduces state-of-the-art methods reflecting significant developments over the past two decades, covering both classical projection frameworks for model reduction and data-driven, nonintrusive frameworks. This textbook is appropriate for a wide audience of engineers and other scientists working in the general areas of large-scale dynamical systems and data-driven modeling of dynamics.
Author : Henri Cartan
Publisher : Courier Corporation
ISBN 13 : 0486318672
Total Pages : 242 pages
Book Rating : 4.4/5 (863 download)
Download or read book Elementary Theory of Analytic Functions of One or Several Complex Variables written by Henri Cartan and published by Courier Corporation. This book was released on 2013-04-22 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
