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Vector Valued Functions And Their Applications

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Vector Valued Functions And Their Applications

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Author : Chuang-Gan Hu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Vector Valued Functions And Their Applications written by Chuang-Gan Hu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

This book is the first to be devoted to the theory of vector-valued functions with one variable. This theory is one of the fundamental tools employed in modern physics, the spectral theory of operators, approximation of analytic operators, analytic mappings between vectors, and vector-valued functions of several variables. The book contains three chapters devoted to the theory of normal functions, Hp-space, and vector-valued functions and their applications. Among the topics dealt with are the properties of complex functions in a complex plane and infinite-dimensional spaces, and the solution of vector-valued integral equations and boundary value problems by complex analysis and functional analysis, which involve methods which can be applied to problems in operations research and control theory. Much original research is included. This volume will be of interest to those whose work involves complex analysis and control theory, and can be recommended as a graduate text in these areas.

Norm Estimations For Operator Valued Functions And Their Applications

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Author : Michael Gil
language : en
Publisher: CRC Press
Release Date : 1995-08-16

Norm Estimations For Operator Valued Functions And Their Applications written by Michael Gil and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-08-16 with Mathematics categories.

Intended for specialists in functional analysis and stability theory, this work presents a systematic exposition of estimations for norms of operator-valued functions, and applies the estimates to spectrum perturbations of linear operators and stability theory. The author demonstrates his own approach to spectrum perturbations.

Vector Valued Functions And Their Applications

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Author : Chuang-Gan Hu
language : en
Publisher: Springer
Release Date : 1992-03-31

Vector Valued Functions And Their Applications written by Chuang-Gan Hu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-03-31 with Mathematics categories.

Convex Functions And Their Applications

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Author : Constantin P. Niculescu
language : en
Publisher: Springer
Release Date : 2018-06-08

Convex Functions And Their Applications written by Constantin P. Niculescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-08 with Mathematics categories.

Thorough introduction to an important area of mathematics Contains recent results Includes many exercises

Generalized Functionals Of Brownian Motion And Their Applications

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Author : Nasir Uddin Ahmed
language : en
Publisher: World Scientific
Release Date : 2012

Generalized Functionals Of Brownian Motion And Their Applications written by Nasir Uddin Ahmed and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

This invaluable research monograph presents a unified and fascinating theory of generalized functionals of Brownian motion and other fundamental processes such as fractional Brownian motion and Levy process OCo covering the classical WienerOCoIto class including the generalized functionals of Hida as special cases, among others. It presents a thorough and comprehensive treatment of the WienerOCoSobolev spaces and their duals, as well as Malliavin calculus with their applications. The presentation is lucid and logical, and is based on a solid foundation of analysis and topology. The monograph develops the notions of compactness and weak compactness on these abstract Fock spaces and their duals, clearly demonstrating their nontrivial applications to stochastic differential equations in finite and infinite dimensional Hilbert spaces, optimization and optimal control problems. Readers will find the book an interesting and easy read as materials are presented in a systematic manner with a complete analysis of classical and generalized functionals of scalar Brownian motion, Gaussian random fields and their vector versions in the increasing order of generality. It starts with abstract Fourier analysis on the Wiener measure space where a striking similarity of the celebrated RieszOCoFischer theorem for separable Hilbert spaces and the space of WienerOCoIto functionals is drawn out, thus providing a clear insight into the subject.

Boundary Value Problems Integral Equations And Related Problems

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Author : Guo Chun Wen
language : en
Publisher: World Scientific
Release Date : 2011

Boundary Value Problems Integral Equations And Related Problems written by Guo Chun Wen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

In this volume, we report new results about various boundary value problems for partial differential equations and functional equations, theory and methods of integral equations and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theory and methods for inverse problems of mathematical physics, Clifford analysis and related problems. Contributors include: L Baratchart, B L Chen, D C Chen, S S Ding, K Q Lan, A Farajzadeh, M G Fei, T Kosztolowicz, A Makin, T Qian, J M Rassias, J Ryan, C-Q Ru, P Schiavone, P Wang, Q S Zhang, X Y Zhang, S Y Du, H Y Gao, X Li, Y Y Qiao, G C Wen, Z T Zhang, and others.

Partial Differential And Integral Equations

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Author : Heinrich Begehr
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Partial Differential And Integral Equations written by Heinrich Begehr and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.

This volume of the Proceedings of the congress ISAAC '97 collects the con tributions of the four sections 1. Function theoretic and functional analytic methods for pde, 2. Applications of function theory of several complex variables to pde, 3. Integral equations and boundary value problems, 4. Partial differential equations. Most but not all of the authors have participated in the congress. Unfortunately some from Eastern Europe and Asia have not managed to come because of lack of financial support. Nevertheless their manuscripts of the proposed talks are included in this volume. The majority of the papers deal with complex methods. Among them boundary value problems in particular the Riemann-Hilbert, the Riemann (Hilbert) and related problems are treated. Boundary behaviour of vector-valued functions are studied too. The Riemann-Hilbert problem is solved for elliptic complex equations, for mixed complex equations, and for several complex variables. It is considered in a general topological setting for mappings into q;n and related to Toeplitz operators. Convolution operators are investigated for nilpotent Lie groups leading to some consequences for the null space of the tangential Cauchy Riemann operator. Some boundary value problems for overdetermined systems in balls of q;n are solved explicitly. A survey is given for the Gauss-Manin connection associated with deformations of curve singularities. Several papers deal with generalizations of analytic functions with various applications to mathematical physics. Singular integrals in quaternionic anal ysis are studied which are applied to the time-harmonic Maxwell equations.

Linear Algebra In Action

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Author : Harry Dym
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-12-31

Linear Algebra In Action written by Harry Dym and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-31 with Mathematics categories.

Linear algebra permeates mathematics, perhaps more so than any other single subject. It plays an essential role in pure and applied mathematics, statistics, computer science, and many aspects of physics and engineering. This book conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that many of us wish we had been taught as graduate students. Roughly the first third of the book covers the basic material of a first course in linear algebra. The remaining chapters are devoted to applications drawn from vector calculus, numerical analysis, control theory, complex analysis, convexity and functional analysis. In particular, fixed point theorems, extremal problems, matrix equations, zero location and eigenvalue location problems, and matrices with nonnegative entries are discussed. Appendices on useful facts from analysis and supplementary information from complex function theory are also provided for the convenience of the reader. In this new edition, most of the chapters in the first edition have been revised, some extensively. The revisions include changes in a number of proofs, either to simplify the argument, to make the logic clearer or, on occasion, to sharpen the result. New introductory sections on linear programming, extreme points for polyhedra and a Nevanlinna-Pick interpolation problem have been added, as have some very short introductory sections on the mathematics behind Google, Drazin inverses, band inverses and applications of SVD together with a number of new exercises.

Banach Spaces And Their Applications In Analysis

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Author : Beata Randrianantoanina
language : en
Publisher: Walter de Gruyter
Release Date : 2011-12-22

Banach Spaces And Their Applications In Analysis written by Beata Randrianantoanina and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-22 with Mathematics categories.

In recent years there has been a surge of profound new developments in various aspects of analysis whose connecting thread is the use of Banach space methods. Indeed, many problems seemingly far from the classical geometry of Banach spaces have been solved using Banach space techniques. This volume contains papers by participants of the conference "Banach Spaces and their Applications in Analysis", held in May 2006 at Miami University in Oxford, Ohio, in honor of Nigel Kalton's 60th birthday. In addition to research articles contributed by participants, the volume includes invited expository articles by principal speakers of the conference, who are leaders in their areas. These articles present overviews of new developments in each of the conference's main areas of emphasis, namely nonlinear theory, isomorphic theory of Banach spaces including connections with combinatorics and set theory, algebraic and homological methods in Banach spaces, approximation theory and algorithms in Banach spaces. This volume also contains an expository article about the deep and broad mathematical work of Nigel Kalton, written by his long time collaborator, Gilles Godefroy. Godefroy's article, and in fact the entire volume, illustrates the power and versatility of applications of Banach space methods and underlying connections between seemingly distant areas of analysis.

Calculus Simplified And Demystified

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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-09

Calculus Simplified And Demystified written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-09 with Mathematics categories.

Embark on a captivating journey through the world of calculus, a branch of mathematics that holds the key to understanding change and unlocking the secrets of our dynamic universe. This comprehensive guide is meticulously crafted to make calculus accessible and enjoyable for students, professionals, and anyone seeking to expand their knowledge. With engaging explanations, step-by-step examples, and a conversational tone, this book demystifies the complexities of calculus, guiding you through its fundamental concepts and applications. From the basics of limits and derivatives to the intricacies of differential equations and multivariable calculus, you'll gain a solid foundation and a newfound appreciation for the power of calculus. Inside this comprehensive volume, you'll find: * **Clear and Concise Explanations:** Each concept is presented in a clear and concise manner, ensuring a thorough understanding of the underlying principles. * **Step-by-Step Examples:** Numerous examples are meticulously solved, providing a step-by-step guide to help you master the techniques and apply them confidently. * **Engaging Real-World Applications:** Dive into a wealth of real-world examples that showcase the practical applications of calculus in various fields, from physics and engineering to economics and biology. * **Interactive Exercises and Practice Problems:** Test your understanding with a variety of exercises and practice problems at the end of each chapter, reinforcing your knowledge and preparing you for exams or real-world challenges. Whether you're a student preparing for exams, a professional seeking to enhance your skills, or simply an enthusiast eager to explore the world of calculus, this book is your ultimate companion. Unlock the power of calculus and gain a deeper understanding of the world around you. **Get ready to embark on an exciting journey through the world of calculus and discover its transformative power!** If you like this book, write a review!

Vector Valued Functions And Their Applications

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