Walsh Equiconvergence Of Complex Interpolating Polynomials PDF Download
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| Author | : Amnon Jakimovski |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 303 |
| Release | : 2007-05-16 |
| Genre | : Mathematics |
| ISBN | : 1402041756 |
Download Walsh Equiconvergence of Complex Interpolating Polynomials Book in PDF, ePub and Kindle
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 | : J. L. Walsh |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 418 |
| Release | : 1935-12-31 |
| Genre | : Mathematics |
| ISBN | : 0821810200 |
Download Interpolation and Approximation by Rational Functions in the Complex Domain Book in PDF, ePub and Kindle
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 | : |
| Publisher | : |
| Total Pages | : 128 |
| Release | : 1995-06 |
| Genre | : |
| ISBN | : |
Download Canadian Mathematical Bulletin Book in PDF, ePub and Kindle
| Author | : Sorin G. Gal |
| Publisher | : Springer |
| Total Pages | : 221 |
| Release | : 2019-04-12 |
| Genre | : Mathematics |
| ISBN | : 3030106667 |
Download Quaternionic Approximation Book in PDF, ePub and Kindle
This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. With some few exceptions, all the material in this book belongs to recent research of the authors on the approximation of slice regular functions of a quaternionic variable. The book is addressed to researchers in various areas of mathematical analysis, in particular hypercomplex analysis, and approximation theory. It is accessible to graduate students and suitable for graduate courses in the above framework.
| Author | : Marc Levine |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 252 |
| Release | : 2007-02-23 |
| Genre | : Mathematics |
| ISBN | : 3540368248 |
Download Algebraic Cobordism Book in PDF, ePub and Kindle
Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. The book also contains some examples of computations and applications.
| Author | : László Székelyhidi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 119 |
| Release | : 2007-01-25 |
| Genre | : Mathematics |
| ISBN | : 1402046375 |
Download Discrete Spectral Synthesis and Its Applications Book in PDF, ePub and Kindle
This book studies the situation over discrete Abelian groups with wide range applications. It covers classical functional equations, difference and differential equations, polynomial ideals, digital filtering and polynomial hypergroups, giving unified treatment of several different problems. There is no other comprehensive work in this field. The book will be of interest to graduate students, research workers in harmonic analysis, spectral analysis, functional equations and hypergroups.
| Author | : Markus Banagl |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 266 |
| Release | : 2007-02-16 |
| Genre | : Mathematics |
| ISBN | : 3540385878 |
Download Topological Invariants of Stratified Spaces Book in PDF, ePub and Kindle
The central theme of this book is the restoration of Poincaré duality on stratified singular spaces by using Verdier-self-dual sheaves such as the prototypical intersection chain sheaf on a complex variety. Highlights include complete and detailed proofs of decomposition theorems for self-dual sheaves, explanation of methods for computing twisted characteristic classes and an introduction to the author's theory of non-Witt spaces and Lagrangian structures.
| Author | : John Coates |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 120 |
| Release | : 2006-10-03 |
| Genre | : Mathematics |
| ISBN | : 3540330690 |
Download Cyclotomic Fields and Zeta Values Book in PDF, ePub and Kindle
Written by two leading workers in the field, this brief but elegant book presents in full detail the simplest proof of the "main conjecture" for cyclotomic fields. Its motivation stems not only from the inherent beauty of the subject, but also from the wider arithmetic interest of these questions. From the reviews: "The text is written in a clear and attractive style, with enough explanation helping the reader orientate in the midst of technical details." --ZENTRALBLATT MATH
| Author | : R. J. Adler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 455 |
| Release | : 2009-01-29 |
| Genre | : Mathematics |
| ISBN | : 0387481168 |
Download Random Fields and Geometry Book in PDF, ePub and Kindle
This monograph is devoted to a completely new approach to geometric problems arising in the study of random fields. The groundbreaking material in Part III, for which the background is carefully prepared in Parts I and II, is of both theoretical and practical importance, and striking in the way in which problems arising in geometry and probability are beautifully intertwined. "Random Fields and Geometry" will be useful for probabilists and statisticians, and for theoretical and applied mathematicians who wish to learn about new relationships between geometry and probability. It will be helpful for graduate students in a classroom setting, or for self-study. Finally, this text will serve as a basic reference for all those interested in the companion volume of the applications of the theory.
| Author | : |
| Publisher | : |
| Total Pages | : 746 |
| Release | : 1989 |
| Genre | : Functions of complex variables |
| ISBN | : |
Download Reviews in Complex Analysis, 1980-86 Book in PDF, ePub and Kindle
