Semigroups of Linear Operators and Applications to Partial Differential Equations

Semigroups of Linear Operators and Applications to Partial Differential Equations
Title Semigroups of Linear Operators and Applications to Partial Differential Equations PDF eBook
Author Amnon Pazy
Publisher Springer Science & Business Media
Pages 289
Release 2012-12-06
Genre Mathematics
ISBN 1461255619

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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, and the last two chapters give a connected account of the applications to partial differential equations.

Theory of Semigroups and Applications

Theory of Semigroups and Applications
Title Theory of Semigroups and Applications PDF eBook
Author Kalyan B. Sinha
Publisher Springer
Pages 176
Release 2017-07-12
Genre Mathematics
ISBN 9811048649

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The book presents major topics in semigroups, such as operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics, and applications. Along with a systematic development of the subject, the book emphasises on the explorations of the contact areas and interfaces, supported by the presentations of explicit computations, wherever feasible. Designed into seven chapters and three appendixes, the book targets to the graduate and senior undergraduate students of mathematics, as well as researchers in the respective areas. The book envisages the pre-requisites of a good understanding of real analysis with elements of the theory of measures and integration, and a first course in functional analysis and in the theory of operators. Chapters 4 through 6 contain advanced topics, which have many interesting applications such as the Feynman–Kac formula, the central limit theorem and the construction of Markov semigroups. Many examples have been given in each chapter, partly to initiate and motivate the theory developed and partly to underscore the applications. The choice of topics in this vastly developed book is a difficult one, and the authors have made an effort to stay closer to applications instead of bringing in too many abstract concepts.

The Algebraic Theory of Semigroups, Volume II

The Algebraic Theory of Semigroups, Volume II
Title The Algebraic Theory of Semigroups, Volume II PDF eBook
Author Alfred Hoblitzelle Clifford
Publisher American Mathematical Soc.
Pages 370
Release 1961
Genre Group theory
ISBN 0821802720

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Numerical Semigroups

Numerical Semigroups
Title Numerical Semigroups PDF eBook
Author J.C. Rosales
Publisher Springer Science & Business Media
Pages 186
Release 2009-12-24
Genre Mathematics
ISBN 1441901604

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"Numerical Semigroups" is the first monograph devoted exclusively to the development of the theory of numerical semigroups. This concise, self-contained text is accessible to first year graduate students, giving the full background needed for readers unfamiliar with the topic. Researchers will find the tools presented useful in producing examples and counterexamples in other fields such as algebraic geometry, number theory, and linear programming.

A Short Course on Operator Semigroups

A Short Course on Operator Semigroups
Title A Short Course on Operator Semigroups PDF eBook
Author Klaus-Jochen Engel
Publisher Springer Science & Business Media
Pages 257
Release 2006-06-06
Genre Mathematics
ISBN 0387313419

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The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.

Semigroups

Semigroups
Title Semigroups PDF eBook
Author Pierre A. Grillet
Publisher CRC Press
Pages 420
Release 1995-08-08
Genre Mathematics
ISBN 9780824796624

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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 special student price which is available upon request from Marcel Dekker, Inc.

Groupoids, Inverse Semigroups, and their Operator Algebras

Groupoids, Inverse Semigroups, and their Operator Algebras
Title Groupoids, Inverse Semigroups, and their Operator Algebras PDF eBook
Author Alan Paterson
Publisher Springer Science & Business Media
Pages 286
Release 2012-12-06
Genre Mathematics
ISBN 1461217741

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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. After an introductory first chapter, the second chapter presents a self-contained account of inverse semigroups, locally compact and r-discrete groupoids, and Lie groupoids. The section on Lie groupoids in chapter 2 contains a detailed discussion of groupoids particularly important in noncommutative geometry, including the holonomy groupoids of a foliated manifold and the tangent groupoid of a manifold. The representation theories of locally compact and r-discrete groupoids are developed in the third chapter, and it is shown that the C*-algebras of r-discrete groupoids are the covariance C*-algebras for inverse semigroup actions on locally compact Hausdorff spaces. A final chapter associates a universal r-discrete groupoid with any inverse semigroup. Six subsequent appendices treat topics related to those covered in the text. The book should appeal to a wide variety of professional mathematicians and graduate students in fields such as operator algebras, analysis on groupoids, semigroup theory, and noncommutative geometry. It will also be of interest to mathematicians interested in tilings and theoretical physicists whose focus is modeling quasicrystals with tilings. An effort has been made to make the book lucid and 'user friendly"; thus it should be accessible to any reader with a basic background in measure theory and functional analysis.