Topics In Analysis And Its Applications

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Topics in Contemporary Mathematical Analysis and Applications

Author : Hemen Dutta
Publisher : CRC Press
ISBN 13 : 1000204219
Total Pages : 339 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis Topics in Contemporary Mathematical Analysis and Applications by : Hemen Dutta

Download or read book Topics in Contemporary Mathematical Analysis and Applications written by Hemen Dutta and published by CRC Press. This book was released on 2020-12-22 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Contemporary Mathematical Analysis and Applications encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. The readers will find developments concerning the topics presented to a reasonable extent with various new problems for further study. Each chapter carefully presents the related problems and issues, methods of solutions, and their possible applications or relevancies in other scientific areas. Aims at enriching the understanding of methods, problems, and applications Offers an understanding of research problems by presenting the necessary developments in reasonable details Discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems This book is written for individual researchers, educators, students, and department libraries.

Topics in Analysis and its Applications

Author : Grigor A. Barsegian
Publisher : Springer Science & Business Media
ISBN 13 : 1402021283
Total Pages : 468 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Topics in Analysis and its Applications by : Grigor A. Barsegian

Download or read book Topics in Analysis and its Applications written by Grigor A. Barsegian and published by Springer Science & Business Media. This book was released on 2006-02-05 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most topics dealt with here deal with complex analysis of both one and several complex variables. Several contributions come from elasticity theory. Areas covered include the theory of p-adic analysis, mappings of bounded mean oscillations, quasiconformal mappings of Klein surfaces, complex dynamics of inverse functions of rational or transcendental entire functions, the nonlinear Riemann-Hilbert problem for analytic functions with nonsmooth target manifolds, the Carleman-Bers-Vekua system, the logarithmic derivative of meromorphic functions, G-lines, computing the number of points in an arbitrary finite semi-algebraic subset, linear differential operators, explicit solution of first and second order systems in bounded domains degenerating at the boundary, the Cauchy-Pompeiu representation in L2 space, strongly singular operators of Calderon-Zygmund type, quadrature solutions to initial and boundary-value problems, the Dirichlet problem, operator theory, tomography, elastic displacements and stresses, quantum chaos, and periodic wavelets.

Mathematical Analysis and Applications

Author : Michael Ruzhansky
Publisher : John Wiley & Sons
ISBN 13 : 1119414334
Total Pages : 1021 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Mathematical Analysis and Applications by : Michael Ruzhansky

Download or read book Mathematical Analysis and Applications written by Michael Ruzhansky and published by John Wiley & Sons. This book was released on 2018-04-11 with total page 1021 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative text that presents the current problems, theories, and applications of mathematical analysis research Mathematical Analysis and Applications: Selected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss–Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis. The authors—a noted team of international researchers in the field— highlight the basic developments for each topic presented and explore the most recent advances made in their area of study. The text is presented in such a way that enables the reader to follow subsequent studies in a burgeoning field of research. This important text: Presents a wide-range of important topics having current research importance and interdisciplinary applications such as game theory, image processing, creation of materials with a desired refraction coefficient, etc. Contains chapters written by a group of esteemed researchers in mathematical analysis Includes problems and research questions in order to enhance understanding of the information provided Offers references that help readers advance to further study Written for researchers, graduate students, educators, and practitioners with an interest in mathematical analysis, Mathematical Analysis and Applications: Selected Topics includes the most recent research from a range of mathematical fields.

Topics on Analysis in Metric Spaces

Author : Luigi Ambrosio
Publisher : Oxford University Press, USA
ISBN 13 : 9780198529385
Total Pages : 148 pages
Book Rating : 4.5/5 (293 download)

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Book Synopsis Topics on Analysis in Metric Spaces by : Luigi Ambrosio

Download or read book Topics on Analysis in Metric Spaces written by Luigi Ambrosio and published by Oxford University Press, USA. This book was released on 2004 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the main mathematical prerequisites for analysis in metric spaces. It covers abstract measure theory, Hausdorff measures, Lipschitz functions, covering theorums, lower semicontinuity of the one-dimensional Hausdorff measure, Sobolev spaces of maps between metric spaces, and Gromov-Hausdorff theory, all developed ina general metric setting. The existence of geodesics (and more generally of minimal Steiner connections) is discussed on general metric spaces and as an application of the Gromov-Hausdorff theory, even in some cases when the ambient space is not locally compact. A brief and very general description of the theory of integration with respect to non-decreasing set functions is presented following the Di Giorgi method of using the 'cavalieri' formula as the definition of the integral. Based on lecture notes from Scuola Normale, this book presents the main mathematical prerequisites for analysis in metric spaces. Supplemented with exercises of varying difficulty it is ideal for a graduate-level short course for applied mathematicians and engineers.

Topics in Analysis and Its Applications

Author : Ronald R. Coifman
Publisher : World Scientific
ISBN 13 : 9789810240943
Total Pages : 466 pages
Book Rating : 4.2/5 (49 download)

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Book Synopsis Topics in Analysis and Its Applications by : Ronald R. Coifman

Download or read book Topics in Analysis and Its Applications written by Ronald R. Coifman and published by World Scientific. This book was released on 2000 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains five theses in analysis, by A C Gilbert, N Saito, W Schlag, T Tao and C M Thiele. It covers a broad spectrum of modern harmonic analysis, from Littlewood-Paley theory (wavelets) to subtle interactions of geometry and Fourier oscillations. The common theme of the theses involves intricate local Fourier (or multiscale) decompositions of functions and operators to account for cumulative properties involving size or structure.

Advanced Topics in Mathematical Analysis

Author : Michael Ruzhansky
Publisher : CRC Press
ISBN 13 : 1351142119
Total Pages : 588 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Advanced Topics in Mathematical Analysis by : Michael Ruzhansky

Download or read book Advanced Topics in Mathematical Analysis written by Michael Ruzhansky and published by CRC Press. This book was released on 2019-01-08 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Topics in Mathematical Analysis is aimed at researchers, graduate students, and educators with an interest in mathematical analysis, and in mathematics more generally. The book aims to present theory, methods, and applications of the selected topics that have significant, useful relevance to contemporary research.

Geometric Functional Analysis and its Applications

Author : R. B. Holmes
Publisher : Springer
ISBN 13 : 9781468493719
Total Pages : 0 pages
Book Rating : 4.4/5 (937 download)

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Book Synopsis Geometric Functional Analysis and its Applications by : R. B. Holmes

Download or read book Geometric Functional Analysis and its Applications written by R. B. Holmes and published by Springer. This book was released on 2012-12-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has evolved from my experience over the past decade in teaching and doing research in functional analysis and certain of its appli cations. These applications are to optimization theory in general and to best approximation theory in particular. The geometric nature of the subjects has greatly influenced the approach to functional analysis presented herein, especially its basis on the unifying concept of convexity. Most of the major theorems either concern or depend on properties of convex sets; the others generally pertain to conjugate spaces or compactness properties, both of which topics are important for the proper setting and resolution of optimization problems. In consequence, and in contrast to most other treatments of functional analysis, there is no discussion of spectral theory, and only the most basic and general properties of linear operators are established. Some of the theoretical highlights of the book are the Banach space theorems associated with the names of Dixmier, Krein, James, Smulian, Bishop-Phelps, Brondsted-Rockafellar, and Bessaga-Pelczynski. Prior to these (and others) we establish to two most important principles of geometric functional analysis: the extended Krein-Milman theorem and the Hahn Banach principle, the latter appearing in ten different but equivalent formula tions (some of which are optimality criteria for convex programs). In addition, a good deal of attention is paid to properties and characterizations of conjugate spaces, especially reflexive spaces.

Topics in Nonlinear Analysis & Applications

Author : Donald H. Hyers
Publisher : World Scientific
ISBN 13 : 9789810225346
Total Pages : 724 pages
Book Rating : 4.2/5 (253 download)

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Book Synopsis Topics in Nonlinear Analysis & Applications by : Donald H. Hyers

Download or read book Topics in Nonlinear Analysis & Applications written by Donald H. Hyers and published by World Scientific. This book was released on 1997 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications. Emphasis is given to several recent results which have been obtained mainly during the last years and which cannot be found in other books in Nonlinear Analysis. Interest in this subject area has rapidly increased over the last decade, yet the presentation of research has been confined mainly to journal articles.

Topics in Mathematical Analysis and Applications

Author : Themistocles M. Rassias
Publisher : Springer
ISBN 13 : 9783319065533
Total Pages : 0 pages
Book Rating : 4.0/5 (655 download)

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Book Synopsis Topics in Mathematical Analysis and Applications by : Themistocles M. Rassias

Download or read book Topics in Mathematical Analysis and Applications written by Themistocles M. Rassias and published by Springer. This book was released on 2014-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role. Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community.

Advances in Mathematical Analysis and its Applications

Author : Bipan Hazarika
Publisher : CRC Press
ISBN 13 : 100082439X
Total Pages : 358 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Advances in Mathematical Analysis and its Applications by : Bipan Hazarika

Download or read book Advances in Mathematical Analysis and its Applications written by Bipan Hazarika and published by CRC Press. This book was released on 2022-12-12 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Mathematical Analysis and its Applications is designed as a reference text and explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. It discusses theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some topics are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more. Features: The book encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. It offers an understanding of research problems by presenting the necessary developments in reasonable details The book also discusses applications and uses of operator theory, fixed-point theory, inequalities, bi-univalent functions, functional equations, and scalar-objective programming, and presents various associated problems and ways to solve such problems Contains applications on wavelets analysis and COVID-19 to show that mathematical analysis has interdisciplinary as well as real life applications. The book is aimed primarily at advanced undergraduates and postgraduate students studying mathematical analysis and mathematics in general. Researchers will also find this book useful.

Topics in Functional Analysis and Applications

Author : S. KESAVAN
Publisher :
ISBN 13 : 9781781833155
Total Pages : 296 pages
Book Rating : 4.8/5 (331 download)

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Book Synopsis Topics in Functional Analysis and Applications by : S. KESAVAN

Download or read book Topics in Functional Analysis and Applications written by S. KESAVAN and published by . This book was released on 2020-11 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Key Features:Basic knowledge in functional analysis is a pre-requisite. Illustrations via partial differential equations of physics provided. Exercises given in each chapter to augment concepts and theorems.About the Book:The book, written to give a fairly comprehensive treatment of the techniques from Functional Analysis used in the modern theory of Partial Differential Equations, is now in its third edition. The original structure of the book has been retained but each chapter has been revamped. Proofs of several theorems have been either simplified or elaborated in order to achieve greater clarity. It is hoped that this version is even more user-friendly than before. In the chapter on Distributions, some additional results, with proof, have been presented. The section on Convolution of Functions has been rewritten. In the chapter on Sobolev Spaces, the section containing Stampacchia's theorem on composition of functions has been reorganized. Some additional results on Eigenvalue problems are presented. The material in the text is supplemented by four appendices and updated bibliography at the end.

Research Topics in Analysis, Volume I

Author : Shouchuan Hu
Publisher : Springer Nature
ISBN 13 : 3031178378
Total Pages : 544 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Research Topics in Analysis, Volume I by : Shouchuan Hu

Download or read book Research Topics in Analysis, Volume I written by Shouchuan Hu and published by Springer Nature. This book was released on 2022-11-29 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of modern analysis. This work empowers young researchers with all the necessary techniques to explore the various subfields of this broad subject, and introduces relevant frameworks where these tools can be immediately deployed. Volume I starts with the foundations of modern analysis. The first three chapters are devoted to topology, measure theory, and functional analysis. Chapter 4 offers a comprehensive analysis of the main function spaces, while Chapter 5 covers more concrete subjects, like multivariate analysis, which are closely related to applications and more difficult to find in compact form. Chapter 6 deals with smooth and non-smooth calculus of functions; Chapter 7 introduces certain important classes of nonlinear operators; and Chapter 8 complements the previous three chapters with topics of variational analysis. Each chapter of this volume finishes with a list of problems – handy for understanding and self-study – and historical notes that give the reader a more vivid picture of how the theory developed. Volume II consists of various applications using the tools and techniques developed in this volume. By offering a clear and wide picture of the tools and applications of modern analysis, this work can be of great benefit not only to mature graduate students seeking topics for research, but also to experienced researchers with an interest in this vast and rich field of mathematics.

Complex Analysis and Special Topics in Harmonic Analysis

Author : Carlos A. Berenstein
Publisher : Springer Science & Business Media
ISBN 13 : 1461384451
Total Pages : 491 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Complex Analysis and Special Topics in Harmonic Analysis by : Carlos A. Berenstein

Download or read book Complex Analysis and Special Topics in Harmonic Analysis written by Carlos A. Berenstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: A companion volume to the text "Complex Variables: An Introduction" by the same authors, this book further develops the theory, continuing to emphasize the role that the Cauchy-Riemann equation plays in modern complex analysis. Topics considered include: Boundary values of holomorphic functions in the sense of distributions; interpolation problems and ideal theory in algebras of entire functions with growth conditions; exponential polynomials; the G transform and the unifying role it plays in complex analysis and transcendental number theory; summation methods; and the theorem of L. Schwarz concerning the solutions of a homogeneous convolution equation on the real line and its applications in harmonic function theory.

Mathematical Analysis and Applications

Author : Michael Ruzhansky
Publisher : John Wiley & Sons
ISBN 13 : 1119414342
Total Pages : 764 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Mathematical Analysis and Applications by : Michael Ruzhansky

Download or read book Mathematical Analysis and Applications written by Michael Ruzhansky and published by John Wiley & Sons. This book was released on 2018-05-11 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative text that presents the current problems, theories, and applications of mathematical analysis research Mathematical Analysis and Applications: Selected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss–Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis. The authors—a noted team of international researchers in the field— highlight the basic developments for each topic presented and explore the most recent advances made in their area of study. The text is presented in such a way that enables the reader to follow subsequent studies in a burgeoning field of research. This important text: Presents a wide-range of important topics having current research importance and interdisciplinary applications such as game theory, image processing, creation of materials with a desired refraction coefficient, etc. Contains chapters written by a group of esteemed researchers in mathematical analysis Includes problems and research questions in order to enhance understanding of the information provided Offers references that help readers advance to further study Written for researchers, graduate students, educators, and practitioners with an interest in mathematical analysis, Mathematical Analysis and Applications: Selected Topics includes the most recent research from a range of mathematical fields.

Real Analysis with an Introduction to Wavelets and Applications

Author : Don Hong
Publisher : Elsevier
ISBN 13 : 0080540317
Total Pages : 387 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Real Analysis with an Introduction to Wavelets and Applications by : Don Hong

Download or read book Real Analysis with an Introduction to Wavelets and Applications written by Don Hong and published by Elsevier. This book was released on 2004-12-31 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real Analysis with an Introduction to Wavelets and Applications is an in-depth look at real analysis and its applications, including an introduction to wavelet analysis, a popular topic in "applied real analysis". This text makes a very natural connection between the classic pure analysis and the applied topics, including measure theory, Lebesgue Integral, harmonic analysis and wavelet theory with many associated applications. The text is relatively elementary at the start, but the level of difficulty steadily increases The book contains many clear, detailed examples, case studies and exercises Many real world applications relating to measure theory and pure analysis Introduction to wavelet analysis

Topics in Functional Analysis and Applications

Author : S. Kesavan
Publisher : New Age International
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Topics in Functional Analysis and Applications by : S. Kesavan

Download or read book Topics in Functional Analysis and Applications written by S. Kesavan and published by New Age International. This book was released on 1989 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Aim Of This Book Is To Give A Fairly Complete, Yet Simple, Treatment Of The Techniques From Functional Analysis Used In The Modern Theory Of Partial Differential Equations And Illustrate Their Applications Via Examples. The Book Provides An Introduction To The Theory Of Distributions, Sobolev Spaces And Semigroups And The Results Are Applied To The Study Of Weak Solutions Of Elliptic Boundary Value Problems And Evolution Equations. It Also Contains An Introduction To Some Techniques In Nonlinear Analysis And Touches Upon Some Of The Frontiers Of Current Research In That Area.The Material In The Text Is Supplemented By Four Appendices, Bibliographic Comments At The End Of Each Chapter And Several Exercises. These Exercises Are Fully Solved In A Companion Volume. This Book Should Be Of Use Both As A Text-Book And As A Source Of Reference For Research Workers In The Area.

Harmonic Analysis and Applications

Author : Christopher Heil
Publisher : Springer Science & Business Media
ISBN 13 : 0817645047
Total Pages : 390 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Harmonic Analysis and Applications by : Christopher Heil

Download or read book Harmonic Analysis and Applications written by Christopher Heil and published by Springer Science & Business Media. This book was released on 2007-08-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained volume in honor of John J. Benedetto covers a wide range of topics in harmonic analysis and related areas. These include weighted-norm inequalities, frame theory, wavelet theory, time-frequency analysis, and sampling theory. The chapters are clustered by topic to provide authoritative expositions that will be of lasting interest. The original papers collected are written by prominent researchers and professionals in the field. The book pays tribute to John J. Benedetto’s achievements and expresses an appreciation for the mathematical and personal inspiration he has given to so many students, co-authors, and colleagues.