Geometric Analysis and Function Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821889251
Total Pages : 224 pages
Book Rating : 4.8/5 (892 download)

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Book Synopsis Geometric Analysis and Function Spaces by : Steven George Krantz

Download or read book Geometric Analysis and Function Spaces written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 1993-01-01 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings into focus the synergistic interaction between analysis and geometry by examining a variety of topics in function theory, real analysis, harmonic analysis, several complex variables, and group actions. Krantz's approach is motivated by examples, both classical and modern, which highlight the symbiotic relationship between analysis and geometry. Creating a synthesis among a host of different topics, this book is useful to researchers in geometry and analysis and may be of interest to physicists, astronomers, and engineers in certain areas. The book is based on lectures presented at an NSF-CBMS Regional Conference held in May 1992.

From Vector Spaces to Function Spaces

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Publisher : SIAM
ISBN 13 : 1611972302
Total Pages : 270 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis From Vector Spaces to Function Spaces by : Yutaka Yamamoto

Download or read book From Vector Spaces to Function Spaces written by Yutaka Yamamoto and published by SIAM. This book was released on 2012-10-31 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to analytic methods in applied mathematics from the perspective of functional analysis, suitable for scientists, engineers and students.

Function Spaces in Modern Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 0821852515
Total Pages : 256 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Function Spaces in Modern Analysis by : Krzysztof Jarosz

Download or read book Function Spaces in Modern Analysis written by Krzysztof Jarosz and published by American Mathematical Soc.. This book was released on 2011-07-18 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Sixth Conference on Function Spaces, which was held from May 18-22, 2010, at Southern Illinois University at Edwardsville. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.

Function Spaces in Modern Analysis

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Publisher :
ISBN 13 : 9780821882269
Total Pages : 244 pages
Book Rating : 4.8/5 (822 download)

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Book Synopsis Function Spaces in Modern Analysis by : Krzysztof Jarosz

Download or read book Function Spaces in Modern Analysis written by Krzysztof Jarosz and published by . This book was released on 2011 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Function Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 3034604157
Total Pages : 286 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Theory of Function Spaces by : Hans Triebel

Download or read book Theory of Function Spaces written by Hans Triebel and published by Springer Science & Business Media. This book was released on 2010-08-20 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where ‐∞s∞ and 0p,q≤∞, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space Rsubn

Foundations of Modern Analysis

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Publisher : Courier Corporation
ISBN 13 : 9780486640624
Total Pages : 276 pages
Book Rating : 4.6/5 (46 download)

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Book Synopsis Foundations of Modern Analysis by : Avner Friedman

Download or read book Foundations of Modern Analysis written by Avner Friedman and published by Courier Corporation. This book was released on 1982-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.

Theory of Function Spaces II

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Publisher : Springer Science & Business Media
ISBN 13 : 3034604181
Total Pages : 375 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Theory of Function Spaces II by : Hans Triebel

Download or read book Theory of Function Spaces II written by Hans Triebel and published by Springer Science & Business Media. This book was released on 2010-08-16 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Function Spaces II deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales of spaces cover many well-known function spaces such as Hölder-Zygmund spaces, (fractional) Sobolev spaces, Besov spaces, inhomogeneous Hardy spaces, spaces of BMO-type and local approximation spaces which are closely connected with Morrey-Campanato spaces. Theory of Function Spaces II is self-contained, although it may be considered an update of the author’s earlier book of the same title. The book’s 7 chapters start with a historical survey of the subject, and then analyze the theory of function spaces in Rn and in domains, applications to (exotic) pseudo-differential operators, and function spaces on Riemannian manifolds. ------ Reviews The first chapter deserves special attention. This chapter is both an outstanding historical survey of function spaces treated in the book and a remarkable survey of rather different techniques developed in the last 50 years. It is shown that all these apparently different methods are only different ways of characterizing the same classes of functions. The book can be best recommended to researchers and advanced students working on functional analysis. - Zentralblatt MATH

Analysis at Urbana: Volume 1, Analysis in Function Spaces

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Publisher : CUP Archive
ISBN 13 : 0521364361
Total Pages : 437 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Analysis at Urbana: Volume 1, Analysis in Function Spaces by : E. Berkson

Download or read book Analysis at Urbana: Volume 1, Analysis in Function Spaces written by E. Berkson and published by CUP Archive. This book was released on 1989-03-30 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Throughout the academic year 1986-7, the University of Illinois hosted a symposium on mathematical analysis attended by some of the leading figures in the field. This resulting book lays emphasis on the synthesis of modern and classical analysis.

Spaces: An Introduction to Real Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 1470440628
Total Pages : 369 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Spaces: An Introduction to Real Analysis by : Tom L. Lindstrøm

Download or read book Spaces: An Introduction to Real Analysis written by Tom L. Lindstrøm and published by American Mathematical Soc.. This book was released on 2017-11-28 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spaces is a modern introduction to real analysis at the advanced undergraduate level. It is forward-looking in the sense that it first and foremost aims to provide students with the concepts and techniques they need in order to follow more advanced courses in mathematical analysis and neighboring fields. The only prerequisites are a solid understanding of calculus and linear algebra. Two introductory chapters will help students with the transition from computation-based calculus to theory-based analysis. The main topics covered are metric spaces, spaces of continuous functions, normed spaces, differentiation in normed spaces, measure and integration theory, and Fourier series. Although some of the topics are more advanced than what is usually found in books of this level, care is taken to present the material in a way that is suitable for the intended audience: concepts are carefully introduced and motivated, and proofs are presented in full detail. Applications to differential equations and Fourier analysis are used to illustrate the power of the theory, and exercises of all levels from routine to real challenges help students develop their skills and understanding. The text has been tested in classes at the University of Oslo over a number of years.

An Introduction to Hilbert Space

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Publisher : Cambridge University Press
ISBN 13 : 1107717167
Total Pages : 256 pages
Book Rating : 4.1/5 (77 download)

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Book Synopsis An Introduction to Hilbert Space by : N. Young

Download or read book An Introduction to Hilbert Space written by N. Young and published by Cambridge University Press. This book was released on 1988-07-21 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to the theory of Hilbert space and its applications. The notion of Hilbert space is central in functional analysis and is used in numerous branches of pure and applied mathematics. Dr Young has stressed applications of the theory, particularly to the solution of partial differential equations in mathematical physics and to the approximation of functions in complex analysis. Some basic familiarity with real analysis, linear algebra and metric spaces is assumed, but otherwise the book is self-contained. It is based on courses given at the University of Glasgow and contains numerous examples and exercises (many with solutions). Thus it will make an excellent first course in Hilbert space theory at either undergraduate or graduate level and will also be of interest to electrical engineers and physicists, particularly those involved in control theory and filter design.

Function Spaces

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Publisher : CRC Press
ISBN 13 : 1482270501
Total Pages : 532 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Function Spaces by : Henryk Hudzik

Download or read book Function Spaces written by Henryk Hudzik and published by CRC Press. This book was released on 2000-07-18 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume compiles research results from the fifth Function Spaces International Conference, held in Poznan, Poland. It presents key advances, modern applications and analyses of function spaces and contains two special sections recognizing the contributions and influence of Wladyslaw Orlicz and Genadil Lozanowskii.

An Introduction to Modern Analysis

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Publisher : Springer
ISBN 13 : 3319124811
Total Pages : 863 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis An Introduction to Modern Analysis by : Vicente Montesinos

Download or read book An Introduction to Modern Analysis written by Vicente Montesinos and published by Springer. This book was released on 2015-05-04 with total page 863 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examining the basic principles in real analysis and their applications, this text provides a self-contained resource for graduate and advanced undergraduate courses. It contains independent chapters aimed at various fields of application, enhanced by highly advanced graphics and results explained and supplemented with practical and theoretical exercises. The presentation of the book is meant to provide natural connections to classical fields of applications such as Fourier analysis or statistics. However, the book also covers modern areas of research, including new and seminal results in the area of functional analysis.

From Vector Spaces to Function Spaces

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Publisher : SIAM
ISBN 13 : 9781611972313
Total Pages : 282 pages
Book Rating : 4.9/5 (723 download)

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Book Synopsis From Vector Spaces to Function Spaces by : Yutaka Yamamoto

Download or read book From Vector Spaces to Function Spaces written by Yutaka Yamamoto and published by SIAM. This book was released on 2012-01-01 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a treatment of analytical methods of applied mathematics. It starts with a review of the basics of vector spaces and brings the reader to an advanced discussion of applied mathematics, including the latest applications to systems and control theory. The text is designed to be accessible to those not familiar with the material and useful to working scientists, engineers, and mathematics students. The author provides the motivations of definitions and the ideas underlying proofs but does not sacrifice mathematical rigor. From Vector Spaces to Function Spaces presents: an easily accessible discussion of analytical methods of applied mathematics from vector spaces to distributions, Fourier analysis, and Hardy spaces with applications to system theory; an introduction to modern functional analytic methods to better familiarize readers with basic methods and mathematical thinking; and an understandable yet penetrating treatment of such modern methods and topics as function spaces and distributions, Fourier and Laplace analyses, and Hardy spaces.

An Illustrative Introduction to Modern Analysis

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Publisher : CRC Press
ISBN 13 : 1351765337
Total Pages : 558 pages
Book Rating : 4.3/5 (517 download)

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Book Synopsis An Illustrative Introduction to Modern Analysis by : Nikolaos Katzourakis

Download or read book An Illustrative Introduction to Modern Analysis written by Nikolaos Katzourakis and published by CRC Press. This book was released on 2018-01-02 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed primarily at undergraduate level university students, An Illustrative Introduction to Modern Analysis provides an accessible and lucid contemporary account of the fundamental principles of Mathematical Analysis. The themes treated include Metric Spaces, General Topology, Continuity, Completeness, Compactness, Measure Theory, Integration, Lebesgue Spaces, Hilbert Spaces, Banach Spaces, Linear Operators, Weak and Weak* Topologies. Suitable both for classroom use and independent reading, this book is ideal preparation for further study in research areas where a broad mathematical toolbox is required.

Function Spaces, 1

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Publisher : Walter de Gruyter
ISBN 13 : 311025042X
Total Pages : 495 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Function Spaces, 1 by : Luboš Pick

Download or read book Function Spaces, 1 written by Luboš Pick and published by Walter de Gruyter. This book was released on 2012-12-19 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Oldřich John, and Svatopluk Fučík. Like the first edition this monograph is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces in their research or lecture courses. This first volume is devoted to the study of function spaces, based on intrinsic properties of a function such as its size, continuity, smoothness, various forms of a control over the mean oscillation, and so on. The second volume will be dedicated to the study of function spaces of Sobolev type, in which the key notion is the weak derivative of a function of several variables.

Fundamental Concepts In Modern Analysis: An Introduction To Nonlinear Analysis (Second Edition)

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Publisher : World Scientific
ISBN 13 : 9811209421
Total Pages : 303 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Fundamental Concepts In Modern Analysis: An Introduction To Nonlinear Analysis (Second Edition) by : Vagn Lundsgaard Hansen

Download or read book Fundamental Concepts In Modern Analysis: An Introduction To Nonlinear Analysis (Second Edition) written by Vagn Lundsgaard Hansen and published by World Scientific. This book was released on 2019-11-07 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many applied mathematical disciplines, such as dynamical systems and optimization theory as well as classical mathematical disciplines like differential geometry and the theory of Lie groups, have a common foundation in general topology and multivariate calculus in normed vector spaces. In this book, students from both pure and applied subjects are offered an opportunity to work seriously with fundamental notions from mathematical analysis that are important not only from a mathematical point of view but also occur frequently in the theoretical parts of, for example, the engineering sciences. The book provides complete proofs of the basic results from topology and differentiability of mappings in normed vector spaces. It is a useful resource for students and researchers in mathematics and the many sciences that depend on fundamental techniques from mathematical analysis.In this second edition, the notions of compactness and sequentially compactness are developed with independent proofs for the main results. Thereby the material on compactness is apt for direct applications also in functional analysis, where the notion of sequentially compactness prevails. This edition also covers a new section on partial derivatives, and new material has been incorporated to make a more complete account of higher order derivatives in Banach spaces, including full proofs for symmetry of higher order derivatives and Taylor's formula. The exercise material has been reorganized from a collection of problem sets at the end of the book to a section at the end of each chapter with further results. Readers will find numerous new exercises at different levels of difficulty for practice.

Minimum Norm Extremals in Function Spaces

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Publisher : Springer
ISBN 13 : 3540375996
Total Pages : 216 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Minimum Norm Extremals in Function Spaces by : S.W. Fisher

Download or read book Minimum Norm Extremals in Function Spaces written by S.W. Fisher and published by Springer. This book was released on 2006-11-14 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: