Potential Theory on Infinite Networks, Paolo M. Soardi
Автор: Charalambos D. Aliprantis Название: Infinite Dimensional Analysis: A Hitchhiker`s Guide ISBN: 3540326960 ISBN-13(EAN): 9783540326960 Издательство: Springer Рейтинг: Цена: 45650.00 T Наличие на складе: Есть 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.
Автор: David R. Adams; Lars I. Hedberg Название: Function Spaces and Potential Theory ISBN: 364208172X ISBN-13(EAN): 9783642081729 Издательство: Springer Рейтинг: Цена: 83850.00 T 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: J. Wermer Название: Potential Theory ISBN: 3540102760 ISBN-13(EAN): 9783540102762 Издательство: Springer Рейтинг: Цена: 23250.00 T 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: 32560.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Josef Kral Название: Integral Operators in Potential Theory ISBN: 3540102272 ISBN-13(EAN): 9783540102274 Издательство: Springer Рейтинг: Цена: 23250.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Paul M. Gauthier; Gert Sabidussi Название: Complex Potential Theory ISBN: 9401044031 ISBN-13(EAN): 9789401044035 Издательство: Springer Рейтинг: Цена: 46570.00 T 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
Автор: Dym; Gohberg Название: Topics in Operator Theory Systems and Networks ISBN: 3034854277 ISBN-13(EAN): 9783034854276 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Birgit Jacob; Hans J. Zwart Название: Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces ISBN: 3034808119 ISBN-13(EAN): 9783034808118 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems.
Автор: Yoshiyuki Hino; Satoru Murakami; Toshiki Naito Название: Functional Differential Equations with Infinite Delay ISBN: 3540540849 ISBN-13(EAN): 9783540540847 Издательство: Springer Рейтинг: Цена: 37220.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Giorgio Fabbri; Fausto Gozzi; Andrzej ?wi?ch; Marc Название: Stochastic Optimal Control in Infinite Dimension ISBN: 3319530666 ISBN-13(EAN): 9783319530666 Издательство: Springer Рейтинг: Цена: 158380.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: With a Contribution by M. Fuhrman and G. Tessitore
Автор: Borthwick Название: Spectral Theory of Infinite-Area Hyperbolic Surfaces ISBN: 3319338757 ISBN-13(EAN): 9783319338750 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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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