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Potential Theory on Infinite Networks, Paolo M. Soardi


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Автор: Paolo M. Soardi
Название:  Potential Theory on Infinite Networks
ISBN: 9783540584483
Издательство: Springer
Классификация:
ISBN-10: 354058448X
Обложка/Формат: Paperback
Страницы: 196
Вес: 0.29 кг.
Дата издания: 26.10.1994
Серия: Lecture Notes in Mathematics
Язык: English
Размер: 234 x 156 x 11
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.

Infinite Dimensional Analysis: A Hitchhiker`s Guide

Автор: Charalambos D. Aliprantis
Название: Infinite Dimensional Analysis: A Hitchhiker`s Guide
ISBN: 3540326960 ISBN-13(EAN): 9783540326960
Издательство: Springer
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Цена: 45650.00 T
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Описание: What you`ll find in this monograph is nothing less than a complete and rigorous study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but who does not have an extensive background in the subject and does not plan to make a career as a functional analyst.

Function Spaces and Potential Theory

Автор: David R. Adams; Lars I. Hedberg
Название: Function Spaces and Potential Theory
ISBN: 364208172X ISBN-13(EAN): 9783642081729
Издательство: Springer
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Цена: 83850.00 T
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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.

Potential Theory

Автор: J. Wermer
Название: Potential Theory
ISBN: 3540102760 ISBN-13(EAN): 9783540102762
Издательство: Springer
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Цена: 23250.00 T
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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: 32560.00 T
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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: 23250.00 T
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Complex Potential Theory

Автор: Paul M. Gauthier; Gert Sabidussi
Название: Complex Potential Theory
ISBN: 9401044031 ISBN-13(EAN): 9789401044035
Издательство: Springer
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Цена: 46570.00 T
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Описание: Proceedings of the NATO Advanced Study Institute and Seminaire de mathematiques superieures, Montreal, Canada, July 26--August 6, 1993

Topics in Operator Theory Systems and Networks

Автор: Dym; Gohberg
Название: Topics in Operator Theory Systems and Networks
ISBN: 3034854277 ISBN-13(EAN): 9783034854276
Издательство: Springer
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Цена: 74530.00 T
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Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions

Автор: Tatsien Li; Yongji Tan; Zhijie Cai; Wei Chen; Jing
Название: Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions
ISBN: 3642414249 ISBN-13(EAN): 9783642414244
Издательство: Springer
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Цена: 46570.00 T
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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.

Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces

Автор: Birgit Jacob; Hans J. Zwart
Название: Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces
ISBN: 3034808119 ISBN-13(EAN): 9783034808118
Издательство: Springer
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Цена: 55890.00 T
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Описание: This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems.

Functional Differential Equations with Infinite Delay

Автор: Yoshiyuki Hino; Satoru Murakami; Toshiki Naito
Название: Functional Differential Equations with Infinite Delay
ISBN: 3540540849 ISBN-13(EAN): 9783540540847
Издательство: Springer
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Цена: 37220.00 T
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Описание: Designed as both a reference work and a textbook for a graduate course on functional differential equations, this book uses an axiomatic approach to unify various theories. The reader is assumed to have a working knowledge of applied analysis, including linear algebra and functional analysis.

Stochastic Optimal Control in Infinite Dimension

Автор: Giorgio Fabbri; Fausto Gozzi; Andrzej ?wi?ch; Marc
Название: Stochastic Optimal Control in Infinite Dimension
ISBN: 3319530666 ISBN-13(EAN): 9783319530666
Издательство: Springer
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Цена: 158380.00 T
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Описание: With a Contribution by M. Fuhrman and G. Tessitore

Spectral Theory of Infinite-Area Hyperbolic Surfaces

Автор: Borthwick
Название: Spectral Theory of Infinite-Area Hyperbolic Surfaces
ISBN: 3319338757 ISBN-13(EAN): 9783319338750
Издательство: Springer
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Цена: 102480.00 T
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Описание: This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent developments in the field. For the second edition the context has been extended to general surfaces with hyperbolic ends, which provides a natural setting for development of the spectral theory while still keeping technical difficulties to a minimum. All of the material from the first edition is included and updated, and new sections have been added.Topics covered include an introduction to the geometry of hyperbolic surfaces, analysis of the resolvent of the Laplacian, scattering theory, resonances and scattering poles, the Selberg zeta function, the Poisson formula, distribution of resonances, the inverse scattering problem, Patterson-Sullivan theory, and the dynamical approach to the zeta function. The new sections cover the latest developments in the field, including the spectral gap, resonance asymptotics near the critical line, and sharp geometric constants for resonance bounds. A new chapter introduces recently developed techniques for resonance calculation that illuminate the existing results and conjectures on resonance distribution.The spectral theory of hyperbolic surfaces is a point of intersection for a great variety of areas, including quantum physics, discrete groups, differential geometry, number theory, complex analysis, and ergodic theory. This book will serve as a valuable resource for graduate students and researchers from these and other related fields. Review of the first edition:'The exposition is very clear and thorough, and essentially self-contained; the proofs are detailed...The book gathers together some material which is not always easily available in the literature...To conclude, the book is certainly at a level accessible to graduate students and researchers from a rather large range of fields. Clearly, the reader...would certainly benefit greatly from it.' (Colin Guillarmou, Mathematical Reviews, Issue 2008 h)



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