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Functional Inequalities Markov Semigroups And Spectral Theory, Fengyu Wang



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Автор: Fengyu Wang
Название:  Functional Inequalities Markov Semigroups And Spectral Theory
Издательство: Elsevier Science
Классификация:
Дифферунциально и интегральное исчисление и математический анализ

ISBN: 0080449425
ISBN-13(EAN): 9780080449425
ISBN: 0-08-044942-5
ISBN-13(EAN): 978-0-08-044942-5
Обложка/Формат: Hardcover
Страницы: 379 pages
Вес: 0.729 кг.
Дата издания: 06/04/2006
Серия: Math & Comp Sci / Applied Maths
Язык: English
Размер: 240 x 165 mm, 730 grams
Читательская аудитория: Professional & Vocational
Ссылка на Издательство: Link
Поставляется из: Англии
Описание: In this book, the functional inequalities are introduced to describe:
(i) the spectrum of the generator: the essential and discrete spectrums, high order eigenvalues, the principle eigenvalue, and the spectral gap;
(ii) the semigroup properties: the uniform intergrability, the compactness, the convergence rate, and the existence of density;
(iii) the reference measure and the intrinsic metric: the concentration, the isoperimetic inequality, and the transportation cost inequality.




Semigroups, Boundary Value Problems and Markov Processes

Автор: Taira Kazuaki
Название: Semigroups, Boundary Value Problems and Markov Processes
ISBN: 3540406514 ISBN-13(EAN): 9783540406518
Издательство: Springer
Цена: 8877 р.
Наличие на складе: Поставка под заказ.

Описание: The purpose of this book is to provide a careful and accessible account along modern lines of the subject which the title deals, as well as to discuss problems of current interest in the field. More precisely this book is devoted to the functional-analytic approach to a class of degenerate boundary value problems for second-order elliptic integro-differential operators which includes as particular cases the Dirichlet and Robin problems. This class of boundary value problems provides a new example of analytic semigroups. As an application, we construct a strong Markov process corresponding to such a diffusion phenomenon that a Markovian particle moves both by jumps and continuously in the state space until it dies at the time when it reaches the set where the particle is definitely absorbed.

An Introduction to the Theory of Functional Equations and Inequalities

Автор: Marek Kuczma
Название: An Introduction to the Theory of Functional Equations and Inequalities
ISBN: 3764387483 ISBN-13(EAN): 9783764387488
Издательство: Springer
Рейтинг:
Цена: 7305 р.
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Описание: Lists the required preliminary knowledge in set and measure theory, topology and algebra. This book gives details on solutions of the Cauchy equation and of the Jensen inequality, in particular on continuous convex functions, Hamel bases, and on inequalities following from the Jensen inequality.

Semigroups in Geometrical Function Theory

Автор: Shoikhet D.
Название: Semigroups in Geometrical Function Theory
ISBN: 0792371119 ISBN-13(EAN): 9780792371113
Издательство: Springer
Рейтинг:
Цена: 10449 р.
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Описание: This manuscript provides an introduction to the generation theory of nonlinear one-parameter semigroups on a domain of the complex plane in the spirit of the Wolff-Denjoy and Hille-Yoshida theories. Special attention is given to evolution equations reproduced by holomorphic vector fields on the unit disk. A dynamic approach to the study of geometrical properties of univalent functions is emphasized. The book comprises six chapters. The preliminary chapter and chapter 1 give expositions to the theory of functions in the complex plane, and the iteration theory of holomorphic mappings according to Wolff and Denjoy, as well as to Julia and Caratheodory. Chapter 2 deals with elementary hyperbolic geometry on the unit disk, and fixed points of those mappings which are nonexpansive with respect to the PoincarГ© metric. Chapters 3 and 4 study local and global characteristics of holomorphic and hyperbolically monotone vector-fields, which yield a global description of asymptotic behavior of generated flows. Various boundary and interior flow invariance conditions for such vector-fields and their parametric representations are presented. Applications to univalent starlike and spirallike functions on the unit disk are given in Chapter 5. The approach described may also be useful for higher dimensions. Audience: The book will be of interest to graduate students and research specialists working in the fields of geometrical function theory, iteration theory, fixed point theory, semigroup theory, theory of composition operators and complex dynamical systems.

Functional Equations, Inequalities and Applications

Автор: Rassias T.M.
Название: Functional Equations, Inequalities and Applications
ISBN: 140201578X ISBN-13(EAN): 9781402015786
Издательство: Springer
Рейтинг:
Цена: 12535 р.
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Описание: Functional Equations, Inequalities and Applications provides an extensive study of several important equations and inequalities, useful in a number of problems in mathematical analysis. Subjects dealt with include the generalized Cauchy functional equation, the Ulam stability theory in the geometry of partial differential equations, stability of a quadratic functional equation in Banach modules, functional equations and mean value theorems, isometric mappings, functional inequalities of iterative type, related to a Cauchy functional equation, the median principle for inequalities and applications, Hadamard and Dragomir-Agarwal inequalities, the Euler formulae and convex functions and approximate algebra homomorphisms. Also included are applications to some problems of pure and applied mathematics.This book will be of particular interest to mathematicians and graduate students whose work involves functional equations, inequalities and applications.

Functional Equations and Inequalities

Автор: Forte
Название: Functional Equations and Inequalities
ISBN: 3642110029 ISBN-13(EAN): 9783642110023
Издательство: Springer
Рейтинг:
Цена: 4697 р.
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Описание: J. Acz?l: Some applications of functional equations and inequalities to information measures.- J.A. Baker: Functional equations in vector space, part II.- I Fenyo: Sur les ?quations distributionnelles.- B. Forte: Applications of functional equations and inequalities to information theory.- S. Golab: Sur l’?quation fonctionnelle des brigade.- E. Hille: Mean-values and functional equations.- J. Kamp? de Feriet: Applications of functional equations and inequalities to information theory. Measure of information by a set of observers: a functional equation.- M. Kuczma: Convex functions.- S. Kurepa: Functional equations on vector spaces.- E. Lukacs: Inequalities and functional equations in probability theory.- M.A. McKiernan: Difference and mean-value type functional equations.- T.S. Motzkin: Solutions of differential and functional inequalities.- C.T. Ng: Uniqueness theorems in the theory of functional equations and related homotopy.- A.M. Ostrowski: Integral inequalities.- H. Schwerdtfeger: Remark on an inequality for monotonic functions.

Functional Equations and Inequalities with Applications

Автор: Pl. Kannappan
Название: Functional Equations and Inequalities with Applications
ISBN: 0387894918 ISBN-13(EAN): 9780387894911
Издательство: Springer
Рейтинг:
Цена: 24976 р.
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Описание: "Functional Equations and Inequalities with Applications" presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. Nowadays, the field of functional equations is an ever-growing branch of mathematics with far-reaching applications; it is increasingly used to investigate problems in mathematical analysis, combinatorics, biology, information theory, statistics, physics, the behavioral sciences, and engineering. This self-contained monograph explores all aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, and many other basic tools in analysis.

Each chapter examines a particular family of equations and gives an in-depth study of its applications; examples and exercises to support the material. The book is intended as a reference tool for any student, professional (researcher), or mathematician studying in a field where functional equations can be applied. It can also be used as a primary text in a classroom setting or for self-study.

Finally, it could be an inspiring entree into an active area of mathematical exploration for engineers and other scientists who would benefit from this careful, rigorous exposition.

Functional Equations And Inequalities: Solutions And Stability Results

Автор: Rassias John Michael Et Al
Название: Functional Equations And Inequalities: Solutions And Stability Results
ISBN: 9813149973 ISBN-13(EAN): 9789813149977
Издательство: World Scientific Publishing
Рейтинг:
Цена: 5522 р.
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Описание: This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability results of different types of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that appear in recent research papers. Its step-by-step expositions are easy for the reader to understand and admire the elegant results and findings on the stability of functional equations. remove

Noncommutative Dynamics and E-Semigroups

Автор: Arveson William
Название: Noncommutative Dynamics and E-Semigroups
ISBN: 0387001514 ISBN-13(EAN): 9780387001517
Издательство: Springer
Рейтинг:
Цена: 15674 р.
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Описание: This book introduces the notion of an E-semigroup, a generalization of the known concept of E_O-semigroup. These objects are families of endomorphisms of a von Neumann algebra satisfying certain natural algebraic and continuity conditions. Its thorough approach is ideal for graduate students and research mathematicians.

Perturbations of Positive Semigroups with Applications

Автор: Banasiak Jacek, Arlotti Luisa
Название: Perturbations of Positive Semigroups with Applications
ISBN: 1852339934 ISBN-13(EAN): 9781852339937
Издательство: Springer
Рейтинг:
Цена: 9404 р.
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Описание: With emphasis on positive semigroups on Banach lattices and perturbation techniques, this book is an introduction to semigroup theory. It presents a survey of the results and also provides worked examples to help absorb the theoretical material. It then deals with the application of the developed theory to a variety of problems.

A Short Course on Operator Semigroups

Автор: Engel
Название: A Short Course on Operator Semigroups
ISBN: 0387313419 ISBN-13(EAN): 9780387313412
Издательство: Springer
Рейтинг:
Цена: 8359 р.
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Описание: The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces.  It contains the fundamental results of the theory such as the Hille-Yoshida generation theorem, the bounded perturbation theorem, and the Trotter-Kato approximation theorem, but also treats the spectral theory of semigroups and its consequences for the qualitative behavior.The book is intended for students and researchers who want to become acquainted with the concept of semigroups in order to work with it in fields like partial and functional differential equations, stochastic processes, infinite dimensional control theory, or dynamical systems coming from physics or biology.

Nonlinear semigroups, fixed points, and geometry of domains in banach spaces

Название: Nonlinear semigroups, fixed points, and geometry of domains in banach spaces
ISBN: 1860945759 ISBN-13(EAN): 9781860945755
Издательство: World Scientific Publishing
Рейтинг:
Цена: 12999 р.
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Описание: Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces.

Readers are provided with a systematic overview of many results concerning both nonlinear semigroups in metric and Banach spaces and the fixed point theory of mappings, which are nonexpansive with respect to hyperbolic metrics (in particular, holomorphic self-mappings of domains in Banach spaces). The exposition is organized in a readable and intuitive manner, presenting basic functional and complex analysis as well as very recent developments.

Semigroups of Linear Operators and Applications to Partial Differential Equations

Автор: Pazy
Название: Semigroups of Linear Operators and Applications to Partial Differential Equations
ISBN: 0387908455 ISBN-13(EAN): 9780387908458
Издательство: Springer
Рейтинг:
Цена: 14629 р.
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Описание: Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations. This book presents that theory and its basic applications.


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