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Theory of Function Spaces III, Triebel Hans



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Автор: Triebel Hans
Название:  Theory of Function Spaces III
Издательство: Springer
Классификация:
Исчисление и математический анализ
Численный анализ
Прикладная математика

ISBN: 3764375817
ISBN-13(EAN): 9783764375812
ISBN: 3-7643-7581-7
ISBN-13(EAN): 978-3-7643-7581-2
Обложка/Формат: Hardback
Страницы: 426
Вес: 0.774 кг.
Дата издания: 2006
Серия: Monographs in Mathematics
Язык: English
Иллюстрации: Biography
Размер: 240 x 164 x 29
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Presents the theory of function spaces, paying special attention to various developments related to neighboring areas such as numerics, signal processing, and fractal analysis. This book considers local building blocks, in particular (non-smooth) atoms, quarks, wavelet bases and wavelet frames.
Дополнительное описание: Формат: 235x165
Круг читателей: Mathematicians interested in analysis, numerics, or fractal geometry
Ключевые слова: multiplier
wavelets
fractal analysis
Sobolev space
Hardy space
Besov space
Hölder-Zygmund space
function space
Язык: eng
Оглавление: Preface.- 1. How to Measure Smoothness.- 2. Atoms and Pointwise Multipliers.- 3. Wavelets.- 4. Spaces on Domains, Wavelets, Sampling Numbers.- 5. Anisotropic Function Spaces.- 6. Weighted Function Spaces.- 7. Fractal Analysis.- 8. Function Spaces on Quasi-metric Spaces.- 9. Function Spaces on Sets.- References.- Notation, Symbols.- Index.





Function Spaces and Potential Theory

Автор: Adams
Название: Function Spaces and Potential Theory
ISBN: 3540570608 ISBN-13(EAN): 9783540570608
Издательство: Springer
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Цена: 10449 р.
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Описание: The subject of this book is the interplay between function space theory and potential theory. A crucial step in classical potential theory is the identification of the potential energy of a charge with the square of a Hilbert space norm. This leads to the Dirichlet space of locally integrable functions whose gradients are square integrable.

More recently, a generalized potential theory has been developed, which has an analogous relationship to the standard Banach function spaces, Sobolev spaces, Besov spaces etc., that appear naturally in the study of partial differential equations. A surprisingly large part of classical potential theory has been extended to this nonlinear setting. The extensions are sometimes surprising, usually they are nontrivial and have required new methods.

Hardy Operators, Function Spaces and Embeddings

Автор: Edmunds David E., Evans W. Desmond
Название: Hardy Operators, Function Spaces and Embeddings
ISBN: 3540219722 ISBN-13(EAN): 9783540219729
Издательство: Springer
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Цена: 10449 р.
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Описание: Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems. Many developments of the basic theory since its inception arise in response to concrete problems, for example, with the (ubiquitous) sets with fractal boundaries.The theory will probably enjoy substantial further growth, but even now a connected account of the mature parts of it makes a useful addition to the literature. Accordingly, the main themes of this book are Banach spaces and spaces of Sobolev type based on them; integral operators of Hardy type on intervals and on trees; and the distribution of the approximation numbers (singular numbers in the Hilbert space case) of embeddings of Sobolev spaces based on generalised ridged domains.This timely book will be of interest to all those concerned with the partial differential equations and their ramifications. A prerequisite for reading it is a good graduate course in real analysis.

Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces

Автор: MolnГЎr L.
Название: Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces
ISBN: 3540399445 ISBN-13(EAN): 9783540399445
Издательство: Springer
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Цена: 4697 р.
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Описание: Over the past several decades, the territory of preserver problems has been continuously enlarging within the frame of linear analysis. The aim of this work is to present a sort of cross-section of the modern theory of preservers on infinite dimensional spaces (operator spaces and function spaces) through the author's corresponding results. Special emphasis is put on preserver problems concerning some structures of Hilbert space operators which appear in quantum mechanics. Moreover, local automorphisms and local isometries of operator algebras and function algebras are discussed in details.

Geometric function theory in several complex variables, proceedings of a satellite conference to the int`l congress of mathematicians in beijing 2002

Название: Geometric function theory in several complex variables, proceedings of a satellite conference to the int`l congress of mathematicians in beijing 2002
ISBN: 9812560238 ISBN-13(EAN): 9789812560230
Издательство: World Scientific Publishing
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Цена: 7477 р.
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Описание: The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.

Holomorphic Function Theory in Several Variables

Автор: Laurent-Thi?baut
Название: Holomorphic Function Theory in Several Variables
ISBN: 0857290290 ISBN-13(EAN): 9780857290298
Издательство: Springer
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Цена: 5220 р.
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Описание: This book provides an introduction to complex analysis in several variables. The viewpoint of integral representation theory together with Grauert's bumping method offers a natural extension of single variable techniques to several variables analysis and leads rapidly to important global results. Applications focus on global extension problems for CR functions, such as the Hartogs-Bochner phenomenon and removable singularities for CR functions. Three appendices on differential manifolds, sheaf theory and functional analysis make the book self-contained. Each chapter begins with a detailed abstract, clearly demonstrating the structure and relations of following chapters. New concepts are clearly defined and theorems and propositions are proved in detail. Historical notes are also provided at the end of each chapter. Clear and succinct, this book will appeal to post-graduate students, young researchers seeking an introduction to holomorphic function theory in several variables and lecturers seeking a concise book on the subject.

Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces

Автор: Ulbrich
Название: Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces
ISBN: 1611970687 ISBN-13(EAN): 9781611970685
Издательство: Eurospan
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Цена: 11555 р.
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Описание: Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities and related problems. This book provides a comprehensive presentation of these methods in function spaces, choosing a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments such as state-constrained problems and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including: • optimal control of nonlinear elliptic differential equations • obstacle problems • flow control of instationary Navier–Stokes fluids In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods.

Potential Function Methods for Approximately Solving Linear Programming Problems / Theory and Practice

Автор: Bienstock Daniel
Название: Potential Function Methods for Approximately Solving Linear Programming Problems / Theory and Practice
ISBN: 1402071736 ISBN-13(EAN): 9781402071737
Издательство: Springer
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Цена: 11494 р.
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Описание: Potential Function Methods For Approximately Solving Linear Programming Problems breaks new ground in linear programming theory. The book draws on the research developments in three broad areas: linear and integer programming, numerical analysis, and the computational architectures which enable speedy, high-level algorithm design. During the last ten years, a new body of research within the field of optimization research has emerged, which seeks to develop good approximation algorithms for classes of linear programming problems. This work both has roots in fundamental areas of mathematical programming and is also framed in the context of the modern theory of algorithms. The result of this work, in which Daniel Bienstock has been very much involved, has been a family of algorithms with solid theoretical foundations and with growing experimental success. This book will examine these algorithms, starting with some of the very earliest examples, and through the latest theoretical and computational developments.

Semigroups in Geometrical Function Theory

Автор: Shoikhet D.
Название: Semigroups in Geometrical Function Theory
ISBN: 0792371119 ISBN-13(EAN): 9780792371113
Издательство: Springer
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Цена: 10449 р.
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Описание: This manuscript provides an introduction to the generation theory of nonlinear one-parameter semigroups on a domain of the complex plane in the spirit of the Wolff-Denjoy and Hille-Yoshida theories. Special attention is given to evolution equations reproduced by holomorphic vector fields on the unit disk. A dynamic approach to the study of geometrical properties of univalent functions is emphasized. The book comprises six chapters. The preliminary chapter and chapter 1 give expositions to the theory of functions in the complex plane, and the iteration theory of holomorphic mappings according to Wolff and Denjoy, as well as to Julia and Caratheodory. Chapter 2 deals with elementary hyperbolic geometry on the unit disk, and fixed points of those mappings which are nonexpansive with respect to the PoincarГ© metric. Chapters 3 and 4 study local and global characteristics of holomorphic and hyperbolically monotone vector-fields, which yield a global description of asymptotic behavior of generated flows. Various boundary and interior flow invariance conditions for such vector-fields and their parametric representations are presented. Applications to univalent starlike and spirallike functions on the unit disk are given in Chapter 5. The approach described may also be useful for higher dimensions. Audience: The book will be of interest to graduate students and research specialists working in the fields of geometrical function theory, iteration theory, fixed point theory, semigroup theory, theory of composition operators and complex dynamical systems.

Function Spaces, Entropy Numbers, Differential Operators

Автор: D. E. Edmunds
Название: Function Spaces, Entropy Numbers, Differential Operators
ISBN: 0521059755 ISBN-13(EAN): 9780521059756
Издательство: Cambridge Academ
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Цена: 5061 р.
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Описание: The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Advances have shed light upon classical problems in this area, and this book presents a fresh approach, largely based upon the results of the authors. The emphasis here is on a topic of central importance in analysis, namely the relationship between i) function spaces on Euclidean n-space and on domains; ii) entropy numbers in quasi-Banach spaces; and iii) the distribution of the eigenvalues of degenerate elliptic (pseudo) differential operators. The treatment is largely self-contained and accessible to non-specialists. Both experts and newcomers alike will welcome this unique exposition.

Function spaces, proceedings of the sixth conference

Название: Function spaces, proceedings of the sixth conference
ISBN: 9812382674 ISBN-13(EAN): 9789812382672
Издательство: World Scientific Publishing
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Цена: 10583 р.
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Описание: This volume constitutes the proceedings of the Sixth Conference on Function Spaces, held in Wroclaw, Poland, in September 2001. It discusses the following topics: convex analysis; operator theory; interpolation theory; theory of real functions; theory of analytic functions; bifurcation theory; Fourier analysis; functional analysis; measure the ry; geometry of Banach spaces; and the history of mathematics.

Linear Processes in Function Spaces

Автор: Bosq
Название: Linear Processes in Function Spaces
ISBN: 0387950524 ISBN-13(EAN): 9780387950525
Издательство: Springer
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Цена: 15674 р.
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Описание: Discusses linear processes in Banach spaces. This book is useful for statistical researchers interested in functional data analysis.

An Introduction to Complex Function Theory

Автор: Palka
Название: An Introduction to Complex Function Theory
ISBN: 038797427X ISBN-13(EAN): 9780387974279
Издательство: Springer
Цена: 5742 р.
Наличие на складе: Поставка под заказ.

Описание: Provides an introduction to the theory of analytic functions of a single complex variable. Starting from basic definitions, this text develops the ideas of complex analysis. Each chapter concludes with a selection of exercises.


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