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Approximation Of Hilbert Space Operators Volume Ii
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Book Synopsis Approximation Theory Viii - Volume 2: Wavelets And Multilevel Approximation by : Charles K Chui
Download or read book Approximation Theory Viii - Volume 2: Wavelets And Multilevel Approximation written by Charles K Chui and published by World Scientific. This book was released on 1995-11-07 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the collection of the refereed and edited papers presented at the 8th Texas International Conference on Approximation Theory. It is interdisciplinary in nature and consists of two volumes. The central theme of Vol. I is the core of approximation theory. It includes such important areas as qualitative approximations, interpolation theory, rational approximations, radial-basis functions, and splines. The second volume focuses on topics related to wavelet analysis, including multiresolution and multi-level approximation, subdivision schemes in CAGD, and applications.
Book Synopsis Elements of Hilbert Spaces and Operator Theory by : Harkrishan Lal Vasudeva
Download or read book Elements of Hilbert Spaces and Operator Theory written by Harkrishan Lal Vasudeva and published by Springer. This book was released on 2017-03-27 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents an introduction to the geometry of Hilbert spaces and operator theory, targeting graduate and senior undergraduate students of mathematics. Major topics discussed in the book are inner product spaces, linear operators, spectral theory and special classes of operators, and Banach spaces. On vector spaces, the structure of inner product is imposed. After discussing geometry of Hilbert spaces, its applications to diverse branches of mathematics have been studied. Along the way are introduced orthogonal polynomials and their use in Fourier series and approximations. Spectrum of an operator is the key to the understanding of the operator. Properties of the spectrum of different classes of operators, such as normal operators, self-adjoint operators, unitaries, isometries and compact operators have been discussed. A large number of examples of operators, along with their spectrum and its splitting into point spectrum, continuous spectrum, residual spectrum, approximate point spectrum and compression spectrum, have been worked out. Spectral theorems for self-adjoint operators, and normal operators, follow the spectral theorem for compact normal operators. The book also discusses invariant subspaces with special attention to the Volterra operator and unbounded operators. In order to make the text as accessible as possible, motivation for the topics is introduced and a greater amount of explanation than is usually found in standard texts on the subject is provided. The abstract theory in the book is supplemented with concrete examples. It is expected that these features will help the reader get a good grasp of the topics discussed. Hints and solutions to all the problems are collected at the end of the book. Additional features are introduced in the book when it becomes imperative. This spirit is kept alive throughout the book.
Book Synopsis Progress in Partial Differential Equations The Metz Surveys 2 by : Michel Chipot
Download or read book Progress in Partial Differential Equations The Metz Surveys 2 written by Michel Chipot and published by CRC Press. This book was released on 1993-11-01 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents papers from the conferences given at the University of Metz in 1992, and presents some recent advances in various important domains of partial differential equations and applied mathematics. A special attempt has been made to make this work accessible to young researchers and non-specialists.
Book Synopsis Stochastic Analysis on Infinite Dimensional Spaces by : H Kunita
Download or read book Stochastic Analysis on Infinite Dimensional Spaces written by H Kunita and published by CRC Press. This book was released on 1994-08-22 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses the following topics in stochastic analysis: 1. Stochastic analysis related to Lie groups: stochastic analysis of loop spaces and infinite dimensional manifolds has been developed rapidly after the fundamental works of Gross and Malliavin. (Lectures by Driver, Gross, Mitoma, and Sengupta.)
Book Synopsis Solution Sets of Differential Equations in Abstract Spaces by : Robert Dragoni
Download or read book Solution Sets of Differential Equations in Abstract Spaces written by Robert Dragoni and published by CRC Press. This book was released on 1996-04-03 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents results on the geometric/topological structure of the solution set S of an initial-value problem x(t) = f(t, x(t)), x(0) =xo, when f is a continuous function with values in an infinite-dimensional space. A comprehensive survey of existence results and the properties of S, e.g. when S is a connected set, a retract, an acyclic set, is presented. The authors also survey results onthe properties of S for initial-value problems involving differential inclusions, and for boundary-value problems. This book will be of particular interest to researchers in ordinary and partial differential equations and some workers in control theory.
Book Synopsis Real and Functional Analysis by : Vladimir I. Bogachev
Download or read book Real and Functional Analysis written by Vladimir I. Bogachev and published by Springer Nature. This book was released on 2020-02-25 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lectures given at "Mekhmat", the Department of Mechanics and Mathematics at Moscow State University, one of the top mathematical departments worldwide, with a rich tradition of teaching functional analysis. Featuring an advanced course on real and functional analysis, the book presents not only core material traditionally included in university courses of different levels, but also a survey of the most important results of a more subtle nature, which cannot be considered basic but which are useful for applications. Further, it includes several hundred exercises of varying difficulty with tips and references. The book is intended for graduate and PhD students studying real and functional analysis as well as mathematicians and physicists whose research is related to functional analysis.
Book Synopsis Integral Methods in Science and Engineering by : Christian Constanda
Download or read book Integral Methods in Science and Engineering written by Christian Constanda and published by CRC Press. This book was released on 1994-12-12 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral methods are among the most powerful techniques for investigating real-life phenomena translated into mathematical models. This book contains a number of contributions to the development and application of such techniques in the context of linear and nonlinear problems in elasticity, fluid dynamics and mathematical physics. The procedures featured in the volume include vortex methods, analytic and numerical methods, hybrid numerical schemes, integral equation approaches, and conservation laws. The articles were presented by their authors at the Third International Conference on Integral Methods in Science and Engineering, IMSE-93, 27-29 August 1993, at Tohoku University, Sendai, Japan.
Book Synopsis Variational Methods in Lorentzian Geometry by : Antonio Masiello
Download or read book Variational Methods in Lorentzian Geometry written by Antonio Masiello and published by Routledge. This book was released on 2017-10-05 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appliies variational methods and critical point theory on infinite dimenstional manifolds to some problems in Lorentzian geometry which have a variational nature, such as existence and multiplicity results on geodesics and relations between such geodesics and the topology of the manifold.
Book Synopsis Extending Modules by : Nguyen Viet Dung
Download or read book Extending Modules written by Nguyen Viet Dung and published by Routledge. This book was released on 2019-01-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Module theory is an important tool for many different branches of mathematics, as well as being an interesting subject in its own right. Within module theory, the concept of injective modules is particularly important. Extending modules form a natural class of modules which is more general than the class of injective modules but retains many of its
Book Synopsis Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature by : Yuan Xu
Download or read book Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature written by Yuan Xu and published by CRC Press. This book was released on 2020-12-17 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a systematic study of the common zeros of polynomials in several variables which are related to higher dimensional quadrature. The author uses a new approach which is based on the recent development of orthogonal polynomials in several variables and differs significantly from the previous ones based on algebraic ideal theory. Featuring a great deal of new work, new theorems and, in many cases, new proofs, this self-contained work will be of great interest to researchers in numerical analysis, the theory of orthogonal polynomials and related subjects.
Book Synopsis Semigroups of Operators and Spectral Theory by : S Kantorovitz
Download or read book Semigroups of Operators and Spectral Theory written by S Kantorovitz and published by CRC Press. This book was released on 1995-06-19 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some aspects of the theory of semigroups of operators, mostly from the point of view of its interaction withspectral theory. In order to make it self-contained, a concise description of the basic theory of semigroups, with complete proofs, is included in Part I. Some of the author's recent results, such as the construction of the Hille-Yosida space for general operators, the semi-simplicity manifold, and a Taylor formula for semigroups as functions of their generator, are also included in Part I. Part II describes recent generalizations (most of them in bookform for the first time), including pre-semigroups, semi-simplicity manifolds in situations more general than that considered in Part I, semigroups of unbounded symmetric operators, and an analogous result on "local cosine families" and semi-analytic vectors. It is hoped that this book will inspire more research in this field. This book will be of particular interest to graduate students and researchers working operator theory and its applications.
Book Synopsis Generalized Fractional Calculus and Applications by : Virginia S Kiryakova
Download or read book Generalized Fractional Calculus and Applications written by Virginia S Kiryakova and published by CRC Press. This book was released on 1993-12-27 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume various applications are discussed, in particular to the hyper-Bessel differential operators and equations, Dzrbashjan-Gelfond-Leontiev operators and Borel type transforms, convolutions, new representations of hypergeometric functions, solutions to classes of differential and integral equations, transmutation method, and generalized integral transforms. Some open problems are also posed. This book is intended for graduate and post-graduate students, lecturers, researchers and others working in applied mathematical analysis, mathematical physics and related disciplines.
Book Synopsis Harmonic Maps Into Homogeneous Spaces by : Malcolm Black
Download or read book Harmonic Maps Into Homogeneous Spaces written by Malcolm Black and published by Routledge. This book was released on 2018-05-04 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic maps and the related theory of minimal surfaces are variational problems of long standing in differential geometry. Many important advances have been made in understanding harmonic maps of Riemann surfaces into symmetric spaces. In particular, ""twistor methods"" construct some, and in certain cases all, such mappings from holomorphic data. These notes develop techniques applicable to more general homogeneous manifolds, in particular a very general twistor result is proved. When applied to flag manifolds, this wider viewpoint allows many of the previously unrelated twistor results for symmetric spaces to be brought into a unified framework. These methods also enable a classification of harmonic maps into full flag manifolds to be established, and new examples are constructed. The techniques used are mostly a blend of the theory of compact Lie groups and complex differential geometry. This book should be of interest to mathematicians with experience in differential geometry and to theoretical physicists.
Book Synopsis Non-Classical Elastic Solids by : Michele Ciarletta
Download or read book Non-Classical Elastic Solids written by Michele Ciarletta and published by CRC Press. This book was released on 2020-11-26 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems concerning non-classical elastic solids continue to attract the attention of mathematicians, scientists and engineers. Research in this area addresses problems concerning many substances, such as crystals, polymers, composites, ceramics and blood. This comprehensive, accessible work brings together recent research in this field, and will be of great interest to mathematicians, physicists and other specialists working in this area.
Book Synopsis Numerical Analysis 1993 by : D.F. Griffiths
Download or read book Numerical Analysis 1993 written by D.F. Griffiths and published by CRC Press. This book was released on 2020-10-08 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains invited papers presented at the 15th Dundee Biennial Conference on Numerical Analysis held at the University of Dundee in June of 1993. The Dundee Conferences are important events in the numerical analysis calendar, and the papers published here represent accounts of recent research work by leading numerical analysts covering a wide range of fields of interest. The book is a valuable guide to the direction of current research in many areas of numerical analysis. It will be of particular interest to graduate students and research workers concerned with the theory and application of numerical methods for solving ordinary and partial differential equations.
Book Synopsis Calculus of Variations, Applications and Computations by : C Bandle
Download or read book Calculus of Variations, Applications and Computations written by C Bandle and published by CRC Press. This book was released on 1995-04-26 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research presents some important domains of partial differential equations and applied mathematics including calculus of variations, control theory, modelling, numerical analysis and various applications in physics, mechanics and engineering. These topics are now part of many areas of science and have experienced tremendous development during the last decades.