Автор: David R. Adams; Lars I. Hedberg Название: Function Spaces and Potential Theory ISBN: 364208172X ISBN-13(EAN): 9783642081729 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 1940's. In the thesis of J. Deny 119], and in the subsequent work of J. Deny and J. L.
Автор: Willi Freeden; Volker Michel Название: Multiscale Potential Theory ISBN: 1461273951 ISBN-13(EAN): 9781461273950 Издательство: Springer Рейтинг: Цена: 12857.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: This monograph, the first of its kind on the mathematical model of spontaneous potential well-logging, proves the well-posedness of the model, and proposes three efficient schemes of numerical solution, supported by a number of numerical examples.
Автор: Josef Kral Название: Integral Operators in Potential Theory ISBN: 3540102272 ISBN-13(EAN): 9783540102274 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Название: Ergodic theory. ISBN: 3319498452 ISBN-13(EAN): 9783319498454 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. The more advanced material includes Popa`s cocycle superrigidity, the Furstenberg-Zimmer structure theorem, and sofic entropy. The structure of the book is designed to be flexible enough to serve a variety of readers.
Автор: N. Nikolsky Название: Toeplitz Operators and Spectral Function Theory ISBN: 3034855893 ISBN-13(EAN): 9783034855891 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Treil` presents a survey of a part of spectral function theory for vector valued function (Szego-Kolmogorov extreme prob!ems for operator weights, bases of vector rational functions, estimations of Hilbert transform with respect to operator weights, the operator corona problem).
Автор: Baumg?rtel; Wollenberg Название: Mathematical Scattering Theory ISBN: 3034854420 ISBN-13(EAN): 9783034854429 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Xia Название: Spectral Theory of Hyponormal Operators ISBN: 3034854374 ISBN-13(EAN): 9783034854375 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Although those two classes of operators contain normal operators as a subclass, what we are interested in are, naturally, nonnormal operators in those classes. With the well-studied normal operators in hand, we cer- tainly wish to know the properties of hyponormal and semi-hypo- normal operators which resemble those of normal operators.
Автор: Dym; Gohberg Название: Topics in Operator Theory Systems and Networks ISBN: 3034854277 ISBN-13(EAN): 9783034854276 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Paolo M. Soardi Название: Potential Theory on Infinite Networks ISBN: 354058448X ISBN-13(EAN): 9783540584483 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Paul M. Gauthier; Gert Sabidussi Название: Complex Potential Theory ISBN: 9401044031 ISBN-13(EAN): 9789401044035 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Study Institute and Seminaire de mathematiques superieures, Montreal, Canada, July 26--August 6, 1993
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