Selected topics on Analysis in Metric Spaces, Luigi Ambrosio; Paolo Till
Автор: Sutherland, Wilson A Название: Introduction to Metric and Topological Spaces ISBN: 019956308X ISBN-13(EAN): 9780199563081 Издательство: Oxford Academ Рейтинг: Цена: 3696 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This fully updated new edition of Wilson Sutherland's classic text, Introduction to Metric and Topological Spaces, establishes the language of metric and topological spaces with continuity as the motivating concept, before developing its discussion to cover compactness, connectedness, and completeness.
Автор: Alexander Zaslavski Название: Optimization on Metric and Normed Spaces ISBN: 0387886206 ISBN-13(EAN): 9780387886206 Издательство: Springer Рейтинг: Цена: 19056 р. Наличие на складе: Поставка под заказ.
Описание: Covering recent work on Banach and complete metric spaces, this book uses the Baire approach and considers approximate solutions. It presents new results including penalty methods in constrained optimization and extant solutions in parametric optimization.
Автор: Ambrosio Luigi, Serra Cassano Francesco Название: Lectures on analysis in metric spaces ISBN: 8876422552 ISBN-13(EAN): 9788876422553 Издательство: Springer Рейтинг: Цена: 1733 р. Наличие на складе: Поставка под заказ.
Автор: Heinonen Juha Название: Lectures on Analysis on Metric Spaces ISBN: 0387951040 ISBN-13(EAN): 9780387951041 Издательство: Springer Рейтинг: Цена: 8084 р. Наличие на складе: Поставка под заказ.
Описание: Analysis in spaces with no a priori smooth structure has progressed to include concepts from the first order calculus. In particular, there have been important advances in understanding the infinitesimal versus global behavior of Lipschitz functions and quasiconformal mappings in rather general settings; abstract Sobolev space theories have been instrumental in this development. The purpose of this book is to communicate some of the recent work in the area while preparing the reader to study more substantial, related articles. The material can be roughly divided into three different types: classical, standard but sometimes with a new twist, and recent. The author first studies basic covering theorems and their applications to analysis in metric measure spaces. This is followed by a discussion on Sobolev spaces emphasizing principles that are valid in larger contexts. The last few sections of the book present a basic theory of quasisymmetric maps between metric spaces. Much of the material is relatively recent and appears for the first time in book format. There are plenty of exercises. The book is well suited for self-study, or as a text in a graduate course or seminar. The material is relevant to anyone who is interested in analysis and geometry in nonsmooth settings.
Автор: Steven G. Krantz Название: Geometric Analysis of the Bergman Kernel and Metric ISBN: 1493944290 ISBN-13(EAN): 9781493944293 Издательство: Springer Рейтинг: Цена: 6929 р. Наличие на складе: Поставка под заказ.
Описание: This text provides a systematic treatment of all the basic analytic and geometric aspects of Bergman`s classic theory of the kernel and its invariance properties. Each chapter includes illustrative examples and a collection of exercises.
Описание: This self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces.The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self-adjoint and normal operators. The second part examines the role of general topology in the context of metric spaces and includes the notions of homotopy and degree. The third and final part is a discussion on Banach spaces of continuous functions, Hilbert spaces and the spectral theory of compact operators.Mathematical Analysis: Linear and Metric Structures and Continuity motivates the study of linear and metric structures with examples, observations, exercises, and illustrations. It may be used in the classroom setting or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering.Other books recently published by the authors include: Mathematical Analysis: Functions of One Variable, and Mathematical Analysis: Approximation and Discrete Processes. This book builds upon the discussion in these books to provide the reader with a strong foundation in modern-day analysis.
Автор: Steven G. Krantz Название: Geometric Analysis of the Bergman Kernel and Metric ISBN: 1461479231 ISBN-13(EAN): 9781461479239 Издательство: Springer Рейтинг: Цена: 8661 р. Наличие на складе: Поставка под заказ.
Описание: This text provides a systematic treatment of all the basic analytic and geometric aspects of Bergman`s classic theory of the kernel and its invariance properties. Each chapter includes illustrative examples and a collection of exercises.
Описание: This self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces.The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self-adjoint and normal operators. The second part examines the role of general topology in the context of metric spaces and includes the notions of homotopy and degree. The third and final part is a discussion on Banach spaces of continuous functions, Hilbert spaces and the spectral theory of compact operators.Mathematical Analysis: Linear and Metric Structures and Continuity motivates the study of linear and metric structures with examples, observations, exercises, and illustrations. It may be used in the classroom setting or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering.Other books recently published by the authors include: Mathematical Analysis: Functions of One Variable, and Mathematical Analysis: Approximation and Discrete Processes. This book builds upon the discussion in these books to provide the reader with a strong foundation in modern-day analysis.
Описание: This volume is dedicated to Heinz Langer, a leading expert in spectral analysis and its applications, in particular to operators in spaces with an indefinite metric, on the occasion of his 60th birthday.The book begins with his biography and list of publications.
Автор: Vyacheslav Chistyakov Название: Metric Modular Spaces ISBN: 331925281X ISBN-13(EAN): 9783319252810 Издательство: Springer Рейтинг: Цена: 5774 р. Наличие на складе: Поставка под заказ.
Описание: Metric modular spaces are extensions of metric spaces, metric linear spaces, and classical modular linear spaces. The topics covered include the classification of modulars, metrizability of modular spaces, modular transforms and duality between modular spaces, metric and modular topologies.
Автор: Heinonen Название: Sobolev Spaces on Metric Measure Spaces ISBN: 1107092345 ISBN-13(EAN): 9781107092341 Издательство: Cambridge Academ Рейтинг: Цена: 13283 р. Наличие на складе: Поставка под заказ.
Описание: Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially nonsmooth settings. Based on the fundamental concept of upper gradient, the notion of a Sobolev function was formulated in the setting of metric measure spaces supporting a Poincare inequality. This coherent treatment from first principles is an ideal introduction to the subject for graduate students and a useful reference for experts. It presents the foundations of the theory of such first-order Sobolev spaces, then explores geometric implications of the critical Poincare inequality, and indicates numerous examples of spaces satisfying this axiom. A distinguishing feature of the book is its focus on vector-valued Sobolev spaces. The final chapters include proofs of several landmark theorems, including Cheeger's stability theorem for Poincare inequalities under Gromov–Hausdorff convergence, and the Keith–Zhong self-improvement theorem for Poincare inequalities.
Автор: Shirali Название: Metric Spaces ISBN: 1852339225 ISBN-13(EAN): 9781852339227 Издательство: Springer Рейтинг: Цена: 4614 р. Наличие на складе: Поставка под заказ.
Описание: Provides an introduction to metric space theory. This book covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and the Tietze-Urysohn extension theorem, Picard`s theorem on ordinary differential equations, and the set of discontinuities of the pointwise limit of a sequence of continuous functions.
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