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Function Spaces and Potential Theory, David R. Adams; Lars I. Hedberg


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Автор: David R. Adams; Lars I. Hedberg
Название:  Function Spaces and Potential Theory
ISBN: 9783642081729
Издательство: Springer
Классификация:
ISBN-10: 364208172X
Обложка/Формат: Paperback
Страницы: 368
Вес: 0.54 кг.
Дата издания: 01.12.2010
Серия: Grundlehren der mathematischen Wissenschaften
Язык: English
Размер: 234 x 156 x 20
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Function spaces, especially those spaces that have become known as Sobolev spaces, and their natural extensions, are now a central concept in analysis. In particular, they play a decisive role in the modem theory of partial differential equations (PDE). Potential theory, which grew out of the theory of the electrostatic or gravita- tional potential, the Laplace equation, the Dirichlet problem, etc., had a fundamen- tal role in the development of functional analysis and the theory of Hilbert space. Later, potential theory was strongly influenced by functional analysis. More re- cently, ideas from potential theory have enriched the theory of those more general function spaces that appear naturally in the study of nonlinear partial differential equations. This book is motivated by the latter development. The connection between potential theory and the theory of Hilbert spaces can be traced back to C. F. Gauss 181], who proved (with modem rigor supplied almost a century later by O. Frostman 158]) the existence of equilibrium potentials by minimizing a quadratic integral, the energy. This theme is pervasive in the work of such mathematicians as D. Hilbert, Ch. -J. de La Vallee Poussin, M. Riesz, O. Frostman, A. Beurling, and the connection was made particularly clear in the work of H. Cartan 97] in the 1940s. In the thesis of J. Deny 119], and in the subsequent work of J. Deny and J. L.


Operator Theory, Function Spaces, and Applications

Автор: Eisner
Название: Operator Theory, Function Spaces, and Applications
ISBN: 3319313819 ISBN-13(EAN): 9783319313818
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This volume collects a selected number of papers presented at the International Workshop on Operator Theory and its Applications (IWOTA) held in July 2014 at Vrije Universiteit in Amsterdam. Main developments in the broad area of operator theory are covered, with special emphasis on applications to science and engineering. The volume also presents papers dedicated to the eightieth birthday of Damir Arov and to the sixty-fifth birthday of Leiba Rodman, both leading figures in the area of operator theory and its applications, in particular, to systems theory.

Fixed Point Theory in Modular Function Spaces

Автор: Mohamed A. Khamsi; Wojciech M. Kozlowski
Название: Fixed Point Theory in Modular Function Spaces
ISBN: 3319346350 ISBN-13(EAN): 9783319346359
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This monograph provides a concise introduction to the main results and methods of the fixed point theory in modular function spaces.

Spectral Theory, Function Spaces and Inequalities

Автор: B. Malcolm Brown; Jan Lang; Ian G. Wood
Название: Spectral Theory, Function Spaces and Inequalities
ISBN: 3034807600 ISBN-13(EAN): 9783034807609
Издательство: Springer
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Цена: 16070.00 р.
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Описание: This is a collection of contributed papers which focus on recent results in areas of differential equations, function spaces, operator theory and interpolation theory.

Fixed Point Theory in Modular Function Spaces

Автор: Mohamed A. Khamsi; Wojciech M. Kozlowski
Название: Fixed Point Theory in Modular Function Spaces
ISBN: 3319140507 ISBN-13(EAN): 9783319140506
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This monograph provides a concise introduction to the main results and methods of the fixed point theory in modular function spaces.

Order and Convexity in Potential Theory

Автор: H. H?llein; N. Boboc; G. Bucur; A. Cornea
Название: Order and Convexity in Potential Theory
ISBN: 3540106928 ISBN-13(EAN): 9783540106920
Издательство: Springer
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Цена: 4884.00 р.
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Multiscale Potential Theory

Автор: Willi Freeden; Volker Michel
Название: Multiscale Potential Theory
ISBN: 1461273951 ISBN-13(EAN): 9781461273950
Издательство: Springer
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Цена: 12857.00 р.
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Описание: During the last few decades, the subject of potential theory has not been overly popular in the mathematics community. Neglected in favor of more abstract theories, it has been taught primarily where instructors have ac- tively engaged in research in this field. This situation has resulted in a scarcity of English language books of standard shape, size, and quality covering potential theory. The current book attempts to fill that gap in the literature. Since the rapid development of high-speed computers, the remarkable progress in highly advanced electronic measurement concepts, and, most of all, the significant impact of satellite technology, the flame of interest in potential theory has burned much brighter. The realization that more and more details of potential functions are adequately visualized by "zooming- in" procedures of modern approximation theory has added powerful fuel to the flame. It seems as if, all of a sudden, harmonic kernel functions such as splines and/or wavelets provide the impetus to offer appropriate means of assimilating and assessing the readily increasing flow of potential data, reducing it to comprehensible form, and providing an objective basis for scientific interpretation, classification, testing of concepts, and solutions of problems involving the Laplace operator.

Integral Operators in Potential Theory

Автор: Josef Kral
Название: Integral Operators in Potential Theory
ISBN: 3540102272 ISBN-13(EAN): 9783540102274
Издательство: Springer
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Цена: 3487.00 р.
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Operator-Related Function Theory and Time-Frequency Analysis

Автор: Karlheinz Gr?chenig; Yurii Lyubarskii; Kristian Se
Название: Operator-Related Function Theory and Time-Frequency Analysis
ISBN: 3319085565 ISBN-13(EAN): 9783319085562
Издательство: Springer
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Цена: 18167.00 р.
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Описание: The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory and time-frequency analysis;

Mechanics, Boundary Layers and Function Spaces

Автор: Diarmuid ?`Math?na
Название: Mechanics, Boundary Layers and Function Spaces
ISBN: 1461289092 ISBN-13(EAN): 9781461289098
Издательство: Springer
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Цена: 10901.00 р.
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Описание: Concern with the class of problems investigated in this monograph began for me as a graduate student at MIT (1958-62) when serving as research assistant to Professor Eric Reissner who initiated me into the subject and whose influence - whether directly or dialectically - is probably discernable in the contours of the work. My fIrst attempt at a systematic derivation of the equations of shell theory was made while on a summer assistantship with Professor Norman Levinson in 1960. Beyond gaining a sobering reali- zation of the complexities involved, I made little progress at that time. In 1962-64 while a Temporary Member at the Courant Institute of Mathematical Sciences (NYU) I made a fresh start, while benefIting from my association and discus- sions with Professor Fritz John. With the conviction that the full integration of the equations with respect to the thickness coordinate, by means of the Legendre repre- sentations, must lead to a clarifIcation of the position of the two-dimensional theory in its three-dimensional context, the necessary computations were completed during that period. Several years passed while I became reconciled with the thought that the material needed to be organized as a monograph. This was done during 1969-70 while at the NASA Electronics Research Center in Cambridge, MA.

Operator-Related Function Theory and Time-Frequency Analysis

Автор: Karlheinz Gr?chenig; Yurii Lyubarskii; Kristian Se
Название: Operator-Related Function Theory and Time-Frequency Analysis
ISBN: 3319354051 ISBN-13(EAN): 9783319354057
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory and time-frequency analysis;

Potential Theory

Автор: J. Wermer
Название: Potential Theory
ISBN: 3540102760 ISBN-13(EAN): 9783540102762
Издательство: Springer
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Цена: 3487.00 р.
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Potential Theory on Infinite Networks

Автор: Paolo M. Soardi
Название: Potential Theory on Infinite Networks
ISBN: 354058448X ISBN-13(EAN): 9783540584483
Издательство: Springer
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Цена: 3487.00 р.
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Описание: This monograph presents a unified approach to new developments in discrete potential theory and infinite network theory. It is aimed at researchers working with Markov chains, Dirichlet spaces, potential theory, abstract harmonic analysis, graph theory, network theory and boundary theory.


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