Order and Convexity in Potential Theory, H. H?llein; N. Boboc; G. Bucur; A. Cornea

Автор: V. Barbu; Th. Precupanu
Название: Convexity and optimization in Banach spaces
ISBN: 9401029202 ISBN-13(EAN): 9789401029209
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Описание: It was our intention to make the book seIf-contained and accessible to a large number of readerso To achieve this in Chapter I we have summarized with or without proofs some basic results in functional analysis and non-linear operator equations in Banach spaces. The list of references is not intended to be complete. It refers only to papers which were used or are directly connected with the subjects treated in this book. V. BARBU Jassy, July 1974 TH. PRECUPANU x Pre tace to the English edition This English edition differs from the Romanian version in that several ehanges have been made. Several seetions in Chapters III and IV have been entirely rewritten and several errors and inaccuracies in the first edition were correeted. The authors wish to express their gratitude to Dr. V. Popescu, from the Jassy University, who kindly assisted them in reading various parts of the manuseript, eorreeting errors and improv- ing the presentation.

Автор: Luca Brandolini; Leonardo Colzani; Alex Iosevich;
Название: Fourier Analysis and Convexity
ISBN: 0817632638 ISBN-13(EAN): 9780817632632
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Описание: in the past, study of this relationship has led to important mathematical advancesPresents new results and applications to diverse fields such as geometry, number theory, and analysisContributors are leading experts in their respective fieldsWill be of interest to both pure and applied mathematicians

Автор: Luca Brandolini; Leonardo Colzani; Alex Iosevich;
Название: Fourier Analysis and Convexity
ISBN: 146126474X ISBN-13(EAN): 9781461264743
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Описание: in the past, study of this relationship has led to important mathematical advancesPresents new results and applications to diverse fields such as geometry, number theory, and analysisContributors are leading experts in their respective fieldsWill be of interest to both pure and applied mathematicians

Автор: Mats Andersson; Mikael Passare; Ragnar Sigurdsson
Название: Complex Convexity and Analytic Functionals
ISBN: 3034896050 ISBN-13(EAN): 9783034896054
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Описание: This book puts the modern theory of complex linear convexity on a solid footing, and gives a thorough and up-to-date survey of its current status. Applications include the Fantappie transformation of analytic functionals, integral representation formulas, polynomial interpolation, and solutions to linear partial differential equations.

Автор: J. Wermer
Название: Potential Theory
ISBN: 3540102760 ISBN-13(EAN): 9783540102762
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Автор: Willi Freeden; Volker Michel
Название: Multiscale Potential Theory
ISBN: 1461273951 ISBN-13(EAN): 9781461273950
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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.

Автор: Paolo M. Soardi
Название: Potential Theory on Infinite Networks
ISBN: 354058448X ISBN-13(EAN): 9783540584483
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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.

Автор: Sandor Komlosi; Tamas Rapcsak; Siegfried Schaible
Название: Generalized Convexity
ISBN: 354057624X ISBN-13(EAN): 9783540576242
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Описание: Generalizations of the classical concept of a convex function have been proposed in various fields. In addition to listing new results in more established areas of generalized convexity theory, this study presents developments in emerging fields and a number of applications.

Автор: Paul M. Gauthier; Gert Sabidussi
Название: Complex Potential Theory
ISBN: 9401044031 ISBN-13(EAN): 9789401044035
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Описание: Proceedings of the NATO Advanced Study Institute and Seminaire de mathematiques superieures, Montreal, Canada, July 26--August 6, 1993

Автор: Josef Kral
Название: Integral Operators in Potential Theory
ISBN: 3540102272 ISBN-13(EAN): 9783540102274
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Автор: David R. Adams; Lars I. Hedberg
Название: Function Spaces and Potential Theory
ISBN: 364208172X ISBN-13(EAN): 9783642081729
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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.