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Function Spaces and Potential Theory

Function Spaces and Potential Theory
Author: David R. Adams
Publisher: Springer Science & Business Media
Total Pages: 372
Release: 2012-12-06
Genre: Mathematics
ISBN: 3662032821

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"..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society


From Vector Spaces to Function Spaces

From Vector Spaces to Function Spaces
Author: Yutaka Yamamoto
Publisher: SIAM
Total Pages: 270
Release: 2012-10-31
Genre: Mathematics
ISBN: 1611972302

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A guide to analytic methods in applied mathematics from the perspective of functional analysis, suitable for scientists, engineers and students.


Geometric Analysis and Function Spaces

Geometric Analysis and Function Spaces
Author: Steven George Krantz
Publisher: American Mathematical Soc.
Total Pages: 224
Release: 1993-01-01
Genre: Mathematics
ISBN: 9780821889251

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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.


Function Spaces, 1

Function Spaces, 1
Author: Luboš Pick
Publisher: Walter de Gruyter
Total Pages: 495
Release: 2012-12-19
Genre: Mathematics
ISBN: 311025042X

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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.


Function Spaces in Analysis

Function Spaces in Analysis
Author: Krzysztof Jarosz
Publisher: American Mathematical Soc.
Total Pages: 301
Release: 2015-07-28
Genre: Education
ISBN: 1470416948

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This volume contains the proceedings of the Seventh Conference on Function Spaces, which was held from May 20-24, 2014 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.


Functional Analysis, Sobolev Spaces and Partial Differential Equations

Functional Analysis, Sobolev Spaces and Partial Differential Equations
Author: Haim Brezis
Publisher: Springer Science & Business Media
Total Pages: 600
Release: 2010-11-02
Genre: Mathematics
ISBN: 0387709142

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This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.


Functional Analysis and Applied Optimization in Banach Spaces

Functional Analysis and Applied Optimization in Banach Spaces
Author: Fabio Botelho
Publisher: Springer
Total Pages: 584
Release: 2014-06-12
Genre: Mathematics
ISBN: 3319060740

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​This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. The book includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces. The problems presented are nonlinear, with non-convex variational formulation. Notably, the primal global minima may not be attained in some situations, in which cases the solution of the dual problem corresponds to an appropriate weak cluster point of minimizing sequences for the primal one. Indeed, the dual approach more readily facilitates numerical computations for some of the selected models. While intended primarily for applied mathematicians, the text will also be of interest to engineers, physicists, and other researchers in related fields.


Theory of Function Spaces III

Theory of Function Spaces III
Author: Hans Triebel
Publisher: Springer Science & Business Media
Total Pages: 433
Release: 2006-09-10
Genre: Mathematics
ISBN: 3764375825

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This volume presents the recent theory of function spaces, paying special attention to some recent developments related to neighboring areas such as numerics, signal processing, and fractal analysis. Local building blocks, in particular (non-smooth) atoms, quarks, wavelet bases and wavelet frames are considered in detail and applied to diverse problems, including a local smoothness theory, spaces on Lipschitz domains, and fractal analysis.


Theory of Function Spaces

Theory of Function Spaces
Author: Hans Triebel
Publisher: Springer Science & Business Media
Total Pages: 286
Release: 2010-08-20
Genre: Science
ISBN: 3034604157

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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


A Course in Functional Analysis

A Course in Functional Analysis
Author: John B Conway
Publisher: Springer
Total Pages: 416
Release: 2019-03-09
Genre: Mathematics
ISBN: 1475743831

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This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS