Описание: The presented collection of papers is based on lectures given at the International Conference "Function Spaces, Differential Operators and Nonlinear
Analysis" (FSDONA-01) held in Teistungen, Thuringia/Germany, from June 28 to July 4, 2001. They deal with the symbiotic relationship between the theory of function spaces, harmonic
analysis, linear and nonlinear partial differential equations, spectral theory and inverse problems. This book is a tribute to Hans Triebel's work on the occasion of his 65th
It reflects his lasting influence in the development of the modern theory of function spaces in the last 30 years and its application to various branches in both pure
and applied mathematics.Its Part I contains two lectures by O V Besov and D E Edmunds having a survey character and honouring Hans Triebel's contributio
s. The papers in Part II concern recent developments in the field presented by D G de Figueiredo / C O Alves, G Bourdaud, V Maz'ya / V Kozlov, A Miyachi, S Pohozaev, M Solomyak
and G Uhlmann. Shorter communications related to the topics of the conference and Hans Triebel's research are collected in Part III.
Автор: Adams Название: Function Spaces and Potential Theory ISBN: 3540570608 ISBN-13(EAN): 9783540570608 Издательство: Springer Рейтинг: Цена: 9349 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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
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.
Автор: Edmunds David E., Evans W. Desmond Название: Hardy Operators, Function Spaces and Embeddings ISBN: 3540219722 ISBN-13(EAN): 9783540219729 Издательство: Springer Рейтинг: Цена: 9349 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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.
Автор: Shoikhet D. Название: Semigroups in Geometrical Function Theory ISBN: 0792371119 ISBN-13(EAN): 9780792371113 Издательство: Springer Рейтинг: Цена: 9349 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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.
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.
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.
Автор: Bosq Название: Linear Processes in Function Spaces ISBN: 0387950524 ISBN-13(EAN): 9780387950525 Издательство: Springer Рейтинг: Цена: 14024 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Discusses linear processes in Banach spaces. This book is useful for statistical researchers interested in functional data analysis.
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.
Описание: This book is an ideal text for an advanced course in the theory of complex functions. The author leads the reader to experience function theory personally and
to participate in the work of the creative mathematician. The book contains numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this
discipline has become.
Topics covered include Weierstrass's product theorem, Mittag-Leffler's theorem, the Riemann mapping theorem, and Runge's theorems on
approximation of analytic functions. In addition to these standard topics, the reader will find Eisenstein's proof of Euler's product formula for the sine function; Wielandt's uniqueness
theorem for the gamma function; a detailed discussion of Stirling's formula; Iss'sa's theorem; Besse's proof that all domains in C are domains of holomorphy; Wedderburn's lemma and the
ideal theory of rings of holomorphic functions; Estermann's proofs of the overconvergence theorem and Bloch's theorem; a holomorphic imbedding of
the unit disc in C3; and Gauss's expert opinion of November 1851 on Riemann's dissertation. Remmert elegantly presents the material in short clear sections, with compact proofs and
historical comments interwoven throughout the text.
The abundance of examples, exercises, and historical remarks, as well as the extensive bibliography, will make this book
an invaluable source for students and teachers.
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