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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 : P.R. Graves-Morris
Publisher : Springer
ISBN 13 : 3540391134
Total Pages : 541 pages
Book Rating : 4.5/5 (43 download)
Download or read book Rational Approximation and Interpolation written by P.R. Graves-Morris and published by Springer. This book was released on 2006-11-14 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. William Helton
Publisher : American Mathematical Soc.
ISBN 13 : 0821807188
Total Pages : 152 pages
Book Rating : 4.8/5 (218 download)
Download or read book Operator Theory, Analytic Functions, Matrices, and Electrical Engineering written by J. William Helton and published by American Mathematical Soc.. This book was released on 1987 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expands the lectures given at a regional conference in Lincoln, Nebraska which brought together a wide variety of scientists, pure mathematicians and engineers.
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 : Yimin Wei
Publisher : World Scientific
ISBN 13 : 9813238682
Total Pages : 470 pages
Book Rating : 4.8/5 (132 download)
Download or read book Numerical And Symbolic Computations Of Generalized Inverses written by Yimin Wei and published by World Scientific. This book was released on 2018-07-18 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce new methods connecting numerics and symbolic computations, i.e., both the direct and iterative methods as well as the symbolic method for computing the generalized inverses. These will be useful for Engineers and Statisticians, in addition to applied mathematicians.Also, main applications of generalized inverses will be presented. Symbolic method covered in our book but not discussed in other book, which is important for numerical-symbolic computations.
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 : Nikolai K. Nikolski
Publisher : American Mathematical Soc.
ISBN 13 : 0821849336
Total Pages : 482 pages
Book Rating : 4.8/5 (218 download)
Download or read book Operators, Functions, and Systems - An Easy Reading written by Nikolai K. Nikolski and published by American Mathematical Soc.. This book was released on 2002 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of two volumes, this text combines distinct topics of modern analysis and its applications: Hardy classes of holomorphic functions; spectral theory of Hankel and Toeplitz operators. Each topic has important implications for complex analysis.
Author : A. Iserles
Publisher : CRC Press
ISBN 13 : 1000109917
Total Pages : 248 pages
Book Rating : 4.0/5 (1 download)
Download or read book Order Stars written by A. Iserles and published by CRC Press. This book was released on 2020-11-26 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book familiarizes the mathematical community with an analytic tool that is capable of so many applications and presents a list of open problems which might be amenable to analysis with order stars.
Author : J. J. Grobler
Publisher : Springer Science & Business Media
ISBN 13 : 3034601743
Total Pages : 301 pages
Book Rating : 4.0/5 (346 download)
Download or read book Operator Algebras, Operator Theory and Applications written by J. J. Grobler and published by Springer Science & Business Media. This book was released on 2009-12-24 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the eighteenth International Workshop on Operator Theory and Applications (IWOTA), hosted by the Unit for Business Mathematics and Informatics of North-West University, Potchefstroom, South Africa from July 3 to 6, 2007. The conference (as well as these proceedings) was dedicated to Professors Joseph A. Ball and Marinus M. Kaashoek on the occasion of their 60th and 70th birthdays, respectively. This conference had a particular focus on Von Neumann algebras at the interface of operator theory with functional analysis and on applications of operator theory to differential equations.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 754 pages
Book Rating : 4.E/5 ( download)
Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 2007 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph Ball
Publisher : Birkhäuser
ISBN 13 : 3034877099
Total Pages : 616 pages
Book Rating : 4.0/5 (348 download)
Download or read book Interpolation of Rational Matrix Functions written by Joseph Ball and published by Birkhäuser. This book was released on 2013-11-11 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present the theory of interpolation for rational matrix functions as a recently matured independent mathematical subject with its own problems, methods and applications. The authors decided to start working on this book during the regional CBMS conference in Lincoln, Nebraska organized by F. Gilfeather and D. Larson. The principal lecturer, J. William Helton, presented ten lectures on operator and systems theory and the interplay between them. The conference was very stimulating and helped us to decide that the time was ripe for a book on interpolation for matrix valued functions (both rational and non-rational). When the work started and the first partial draft of the book was ready it became clear that the topic is vast and that the rational case by itself with its applications is already enough material for an interesting book. In the process of writing the book, methods for the rational case were developed and refined. As a result we are now able to present the rational case as an independent theory. After two years a major part of the first draft was prepared. Then a long period of revising the original draft and introducing recently acquired results and methods followed. There followed a period of polishing and of 25 chapters and the appendix commuting at various times somewhere between Williamsburg, Blacksburg, Tel Aviv, College Park and Amsterdam (sometimes with one or two of the authors).
Author : Bernard B. Morrel
Publisher : Longman Scientific and Technical
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)
Download or read book Surveys of Some Recent Results in Operator Theory written by Bernard B. Morrel and published by Longman Scientific and Technical. This book was released on 1988 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Bolotnikov
Publisher : Springer
ISBN 13 : 303011614X
Total Pages : 390 pages
Book Rating : 4.0/5 (31 download)
Download or read book Interpolation and Realization Theory with Applications to Control Theory written by Vladimir Bolotnikov and published by Springer. This book was released on 2019-04-08 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to Joseph A. (Joe) Ball’s contributions to operator theory and its applications and in celebration of his seventieth birthday. Joe Ball’s career spans over four and a half decades, starting with his work on model theory and related topics for non-contractions and operators on multiply connected domains. Later on, more applied operator theory themes appeared in his work, involving factorization and interpolation for operator-valued functions, with extensive applications in system and control theory. He has worked on nonlinear control, time-varying systems and, more recently, on multidimensional systems and noncommutative H∞-theory on the unit ball and polydisk, and more general domains, and these are only the main themes in his vast oeuvre. Fourteen research papers constitute the core of this volume, written by mathematicians who have collaborated with Joe or have been influenced by his vast mathematical work. A curriculum vitae, a publications list and a list of Joe Ball’s PhD students are included in this volume, as well as personal reminiscences by colleagues and friends. Contributions by Yu. M. Arlinskii, S. Hassi, M. Augat, J. W. Helton, I. Klep, S. McCullough, S. Balasubramanian, U. Wijesooriya, N. Cohen, Q. Fang, S. Gorai, J. Sarkar, G. J. Groenewald, S. ter Horst, J. Jaftha, A. C. M. Ran, M.A. Kaashoek, F. van Schagen, A. Kheifets, Z. A. Lykova, N. J. Young, A. E. Ajibo, R. T. W. Martin, A. Ramanantoanina, M.-J. Y. Ou, H. J. Woerdeman, A. van der Schaft, A. Tannenbaum, T. T. Georgiou, J. O. Deasy and L. Norton.
Author : I. Gohberg
Publisher : Birkhäuser
ISBN 13 : 3034854692
Total Pages : 257 pages
Book Rating : 4.0/5 (348 download)
Download or read book Topics in Interpolation Theory of Rational Matrix-valued Functions written by I. Gohberg and published by Birkhäuser. This book was released on 2013-11-21 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the basic interpolation problems from our point of view is the problem of building a scalar rational function if its poles and zeros with their multiplicities are given. If one assurnes that the function does not have a pole or a zero at infinity, the formula which solves this problem is (1) where Zl , " " Z/ are the given zeros with given multiplicates nl, " " n / and Wb" " W are the given p poles with given multiplicities ml, . . . ,m , and a is an arbitrary nonzero number. p An obvious necessary and sufficient condition for solvability of this simplest Interpolation pr- lern is that Zj :f: wk(1~ j ~ 1, 1~ k~ p) and nl +. . . +n/ = ml +. . . +m ' p The second problem of interpolation in which we are interested is to build a rational matrix function via its zeros which on the imaginary line has modulus 1. In the case the function is scalar, the formula which solves this problem is a Blaschke product, namely z z. )mi n u(z) = all = l~ (2) J ( Z+ Zj where [o] = 1, and the zj's are the given zeros with given multiplicities mj. Here the necessary and sufficient condition for existence of such u(z) is that zp :f: - Zq for 1~ ]1, q~ n.
Author :
Publisher : ScholarlyEditions
ISBN 13 : 1464966354
Total Pages : 395 pages
Book Rating : 4.4/5 (649 download)
Download or read book Issues in Algebra, Geometry, and Topology: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Algebra, Geometry, and Topology / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Algebra, Geometry, and Topology. The editors have built Issues in Algebra, Geometry, and Topology: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Algebra, Geometry, and Topology in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Algebra, Geometry, and Topology: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Author : Yuri Arlinskii
Publisher : Springer Science & Business Media
ISBN 13 : 3764399961
Total Pages : 540 pages
Book Rating : 4.7/5 (643 download)
Download or read book Conservative Realizations of Herglotz-Nevanlinna Functions written by Yuri Arlinskii and published by Springer Science & Business Media. This book was released on 2011-06-21 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to conservative realizations of various classes of Stieltjes, inverse Stieltjes, and general Herglotz-Nevanlinna functions as impedance functions of linear systems. The main feature of the monograph is a new approach to the realization theory profoundly involving developed extension theory in triplets of rigged Hilbert spaces and unbounded operators as state-space operators of linear systems. The connections of the realization theory to systems with accretive, sectorial, and contractive state-space operators as well as to the Phillips-Kato sectorial extension problem, the Krein-von Neumann and Friedrichs extremal extensions are provided. Among other results the book contains applications to the inverse problems for linear systems with non-self-adjoint Schrödinger operators, Jacobi matrices, and to the Nevanlinna-Pick system interpolation.
Author :
Publisher :
ISBN 13 :
Total Pages : 756 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1989 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:
