Function Spaces and Potential Theory

Function Spaces and Potential Theory

Author: David R. Adams

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 372

ISBN-13: 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


Geometric Analysis and Function Spaces

Geometric Analysis and Function Spaces

Author: Steven George Krantz

Publisher: American Mathematical Soc.

Published: 1993-01-01

Total Pages: 224

ISBN-13: 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.


From Vector Spaces to Function Spaces

From Vector Spaces to Function Spaces

Author: Yutaka Yamamoto

Publisher: SIAM

Published: 2012-10-31

Total Pages: 270

ISBN-13: 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.


Function Spaces

Function Spaces

Author: Lubos Pick

Publisher: de Gruyter

Published: 2019-10

Total Pages: 310

ISBN-13: 9783110273731

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This is thesecondpart of the second revised and extended edition ofthe well established monograph about Function Spaces. It 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 to study other topics such as partial differential equations. Volume 1 deals with Banach function spaces, Volume 2 with Sobolev-type spaces.


Function Spaces in Analysis

Function Spaces in Analysis

Author: Krzysztof Jarosz

Publisher: American Mathematical Soc.

Published: 2015-07-28

Total Pages: 301

ISBN-13: 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.


Theory of Function Spaces III

Theory of Function Spaces III

Author: Hans Triebel

Publisher: Springer Science & Business Media

Published: 2006-09-10

Total Pages: 433

ISBN-13: 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.


Function Spaces

Function Spaces

Author: Henryk Hudzik

Publisher: CRC Press

Published: 2000-07-18

Total Pages: 532

ISBN-13: 1482270501

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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.


Function Spaces

Function Spaces

Author: Krzysztof Jarosz

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 330

ISBN-13: 0821832697

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This volume presents papers from the Fourth Conference on Function Spaces. The conference brought together mathematicians interested in various problems within the general area of function spaces, allowing for discussion and exchange of ideas on those problems and related questions. The lectures covered a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), $Lp$-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and related subjects. Included are 26 articles written by leading experts. Known results, open problems, and new discoveries are featured. Most papers are written for nonexperts, so the book can serve as a good introduction to the material presented.


Functional Analysis, Sobolev Spaces and Partial Differential Equations

Functional Analysis, Sobolev Spaces and Partial Differential Equations

Author: Haim Brezis

Publisher: Springer Science & Business Media

Published: 2010-11-02

Total Pages: 600

ISBN-13: 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.