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Topics in Harmonic Analysis: Related to the Littlewood-Paley Theory
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Elias M. Stein
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Algorithmic Problems in Groups and Semigroups
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Jean-Camille Birget (Editor), Stuart Margolis (Editor), John Meakin (Editor)
An outgrowth of an international conference on algorithmic problems in groups and semigroups, held in May 1998 at the University of Nebraska-Lincoln, this volume presents results, techniques and ideas from the fields of algebra, logic and theoretical computer science.
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Semigroup theory and applications
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Clément
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Groupoids, Inverse Semigroups and Their Operator Algebras
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Alan L. T. Paterson
In recent years, it has become increasingly clear that there are important connections relating three concepts - groupoids, inverse semigroups, and operator algebras. There has been a great deal of progress in this area over the last two decades, and this book gives a careful, up-to-date and reasonably extensive account of the subject matter. ...
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A Short Course on Operator Semigroups
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Klaus-Jochen Engel, Rainer Nagel
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 ...
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Perturbations of Positive Semigroups with Applications
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Jacek Banasiak, Of Udine University of Udine, Luisa Arlotti
"Perturbations of Positive Semigroups with Applications" is a self-contained introduction to semigroup theory with emphasis on positive semigroups on Banach lattices and perturbation techniques. The first part of the book presents a survey of the results that are needed for the second, applied part of the book; worked examples are provided to help ...
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One-Parameter Semigroups for Linear Evolution Equations
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Klaus-Jochen Engel, Rainer Nagel, S Brendle (Contributions by)
This book gives an up-to-date account of the theory of strongly continuous one-parameter semigroups of linear operators. It includes a systematic discussion of the spectral theory and the long-term behavior of such semigroups. A special feature of the text is an unusually wide range of applications, e.g., to ordinary and partial differential ...
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Linear and Quasilinear Parabolic Problems
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H Amann
This treatise gives an exposition of the functional analytical approach to quasilinear parabolic evolution equations, developed to a large extent by the author during the last 10 years. This approach is based on the theory of linear nonautonomous parabolic evolution equations and on interpolation-extrapolation techniques. It is the only general ...
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Semigroups: An Introduction to the Structure Theory
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Pierre A Grillet, Grillet A Grillet
This work offers concise coverage of the structure theory of semigroups. It examines constructions and descriptions of semigroups and emphasizes finite, commutative, regular and inverse semigroups. Many structure theorems on regular and commutative semigroups are introduced.;College or university bookstores may order five or more copies at a ...
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Analytic Semigroups and Semilinear Initial Boundary Value Problems
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Kazuaki Taira
This book provides a careful and accessible exposition of the function analytic approach to initial boundary value problems for semilinear parabolic differential equations. It focuses on the relationship between two interrelated subjects in analysis: analytic semigroups and initial boundary value problems. This semigroup approach can be traced ...
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M-Solid Varieties of Algebras
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J Koppitz
"M-Solid Varieties of Algebras" provides a complete and systematic introduction to the fundamentals of the hyper-equational theory of universal algebra, offering the newest results on M-solid varieties of semirings and semigroups. The book aims to develop the theory of M-solid varieties as a system of mathematical discourse that is applicable in ...
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Semigroup Theory and Evolution Equations: The Second International Conference
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Clement Clement, Philippe Clement (Editor), Enzo Mitidieri (Editor)
This title includes proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept. 1989, Delft University of Technology, the Netherlands. Papers deal with recent developments in semigroup theory (e.g., positive, dual, integrated), and nonlinear evolution equations.
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Semigroups, Boundary Value Problems and Markov Processes
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Kazuaki Taira
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 ...
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Analytic Semigroups and Optimal Regularity in Parabolic Problems
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Alessandra Lunardi
This book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems. Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are used to study several other problems, especially fully nonlinear ones. ...
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Finiteness and Regularity in Semigroups and Formal Languages
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A De Luca, Stefano Varricchio
This is a rigorous and self-contained monograph on a central topic in theoretical computer science: finiteness conditions for semigroups and regularity conditions for formal languages. For the first time in book form, original results from the last ten years are presented, some previously unpublished, using combinatorial and algebraic methods. ...
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The duality of compact semigroups and C*-bigebras
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Karl H Hofmann
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Attractors for Semi-Groups and Evolution Equations
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O A Ladyzhenskaia, Olga Ladyzhenskaya, Luigi A Radicati Di Brozolo (Editor)
This book presents an expansion of the highly successful lectures given by Professor Ladyzhenskaya at the University of Rome, 'La Sapienza', under the auspices of the Accademia dei Lencei. The lectures were devoted to questions of the behaviour of trajectories for semi-groups of non-linear bounded continuous operators in a locally non-compact ...
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Completely Regular Semigroups
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Mario Petrich, Robert Reilly, Jr., Norman R Reilly
Present a systematic treatment of completely regular semigroups, from introductory to research level, comprised of preliminaries on lattices, semigroups, varieties, and complete regularity; congruences and relations on the congruence lattice; and varieties of completely regular semigroups through kernals, and traces of congruences and Malcev ...
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Co-Semigroups and Applications
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Ioan I Vrabie
The book contains a unitary and systematic presentation of both classical and very recent parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications. There are several specialized, but quite interesting, topics which didn't find their place into a monograph till now, mainly because ...
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Semigroups of Linear Operators and Applications to Partial Differential Equations
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Amnon Pazy
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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Continuous Semigroups in Banach Algebras
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Allan M Sinclair, N J Hitchin (Editor)
In these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discussed, with the Gaussian, Poisson and fractional integral semigroups in convolution Banach algebras serving as motivating examples. Such semigroups are constructed in a Banach algebra with a bounded approximate identity. Growth restrictions on the ...
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Semigroups for Delay Equations
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Andras Batkai
In most physical, chemical, biological and economic phenomena it is quite natural to assume that the system not only depends on the present state but also on past occurrences. These circumstances are mathematically described by partial differential equations with delay. This book presents, in a systematic fashion, how delay equations can be ...
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The algebraic theory of semigroups
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A. H. Clifford, G. B. Preston
This book, along with volume I, which appeared previously, presents a survey of the structure and representation theory of semi groups. Volume II goes more deeply than was possible in volume I into the theories of minimal ideals in a semi group, inverse semi groups, simple semi groups, congruences on a semi group, and the embedding of a semi group ...
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Lattices, semigroups and universal algebra
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Almeida, Bordalo, Dwinger
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Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions
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Christian Berg
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