Semigroups In Algebra Geometry And Analysis

Author : Karl H. Hofmann
Publisher : Walter de Gruyter
ISBN 13 : 3110885581
Total Pages : 385 pages
Book Rating : 4.83/5 ( download)

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Download or read book Semigroups in Algebra, Geometry and Analysis written by Karl H. Hofmann and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Author : Karl Heinrich Hofmann
Publisher : de Gruyter
ISBN 13 : 9783110124897
Total Pages : 0 pages
Book Rating : 4.90/5 ( download)

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Download or read book The Analytical and Topological Theory of Semigroups written by Karl Heinrich Hofmann and published by de Gruyter. This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents trends and developments in diverse areas of semigroup theory such as analysis, functional analysis and topology. Main topics include: Lie theory and algebraic geometry for semigroups; structure theory of compact semigroups; functional analysis on semigroups; relations to systems theory and a combinatorial number theory. Particular emphasis is given to applications in probability theory and semigroups of continuous functions. Annotation copyrighted by Book News, Inc., Portland, OR

Author : C. van den Berg
Publisher : Springer Science & Business Media
ISBN 13 : 146121128X
Total Pages : 299 pages
Book Rating : 4.80/5 ( download)

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Download or read book Harmonic Analysis on Semigroups written by C. van den Berg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fourier transform and the Laplace transform of a positive measure share, together with its moment sequence, a positive definiteness property which under certain regularity assumptions is characteristic for such expressions. This is formulated in exact terms in the famous theorems of Bochner, Bernstein-Widder and Hamburger. All three theorems can be viewed as special cases of a general theorem about functions qJ on abelian semigroups with involution (S, +, *) which are positive definite in the sense that the matrix (qJ(sJ + Sk» is positive definite for all finite choices of elements St, . . . , Sn from S. The three basic results mentioned above correspond to (~, +, x* = -x), ([0, 00[, +, x* = x) and (No, +, n* = n). The purpose of this book is to provide a treatment of these positive definite functions on abelian semigroups with involution. In doing so we also discuss related topics such as negative definite functions, completely mono tone functions and Hoeffding-type inequalities. We view these subjects as important ingredients of harmonic analysis on semigroups. It has been our aim, simultaneously, to write a book which can serve as a textbook for an advanced graduate course, because we feel that the notion of positive definiteness is an important and basic notion which occurs in mathematics as often as the notion of a Hilbert space.

Author : D. Shoikhet
Publisher : Springer Science & Business Media
ISBN 13 : 9401596328
Total Pages : 231 pages
Book Rating : 4.29/5 ( download)

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Download or read book Semigroups in Geometrical Function Theory written by D. Shoikhet and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, complex analysis and geometrical function theory have been inten sively developed from the beginning of the twentieth century. They provide the foundations for broad areas of mathematics. In the last fifty years the theory of holomorphic mappings on complex spaces has been studied by many mathemati cians with many applications to nonlinear analysis, functional analysis, differential equations, classical and quantum mechanics. The laws of dynamics are usually presented as equations of motion which are written in the abstract form of a dy namical system: dx / dt + f ( x) = 0, where x is a variable describing the state of the system under study, and f is a vector function of x. The study of such systems when f is a monotone or an accretive (generally nonlinear) operator on the under lying space has been recently the subject of much research by analysts working on quite a variety of interesting topics, including boundary value problems, integral equations and evolution problems (see, for example, [19, 13] and [29]). In a parallel development (and even earlier) the generation theory of one parameter semigroups of holomorphic mappings in en has been the topic of interest in the theory of Markov stochastic processes and, in particular, in the theory of branching processes (see, for example, [63, 127, 48] and [69]).

Author : Abdallah Assi
Publisher : Springer
ISBN 13 : 3319413309
Total Pages : 106 pages
Book Rating : 4.03/5 ( download)

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Download or read book Numerical Semigroups and Applications written by Abdallah Assi and published by Springer. This book was released on 2016-08-25 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory. Background on numerical semigroups is presented in the first two chapters, which introduce basic notation and fundamental concepts and irreducible numerical semigroups. The focus is in particular on free semigroups, which are irreducible; semigroups associated with planar curves are of this kind. The authors also introduce semigroups associated with irreducible meromorphic series, and show how these are used in order to present the properties of planar curves. Invariants of non-unique factorizations for numerical semigroups are also studied. These invariants are computationally accessible in this setting, and thus this monograph can be used as an introduction to Factorization Theory. Since factorizations and divisibility are strongly connected, the authors show some applications to AG Codes in the final section. The book will be of value for undergraduate students (especially those at a higher level) and also for researchers wishing to focus on the state of art in numerical semigroups research.

Author : john neuberger
Publisher : Springer Science & Business Media
ISBN 13 : 1461404304
Total Pages : 131 pages
Book Rating : 4.09/5 ( download)

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Download or read book A Sequence of Problems on Semigroups written by john neuberger and published by Springer Science & Business Media. This book was released on 2011-09-15 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text consists of a sequence of problems which develop a variety of aspects in the field of semigroupsof operators. Many of the problems are not found easily in other books. Written in the Socratic/Moore method, this is a problem book without the answers presented. To get the most out of the content requires high motivation from the reader to work out the exercises. The reader is given the opportunity to discover important developments of the subject and to quickly arrive at the point of independent research. The compactness of the volume and the reputation of the author lends this consider set of problems to be a 'classic' in the making. This text is highly recommended for us as supplementary material for 3 graduate level courses.

Author : Einar Hille
Publisher : American Mathematical Soc.
ISBN 13 : 9780821810316
Total Pages : 828 pages
Book Rating : 4.16/5 ( download)

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Download or read book Functional Analysis and Semi-groups written by Einar Hille and published by American Mathematical Soc.. This book was released on 1996-02-06 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early in 1952 it became obvious that a new printing would be needed, and new advances in the theory called for extensive revision. It has been completely rewritten, mostly by Phillips, and much has been added while keeping the existing framework. Thus, the algebraic tools play a major role, and are introduced early, leading to a more satisfactory operational calculus and spectral theory. The Laplace-Stieltjes transform methods, used by Hille, have not been replaced but rather supplemented by the new tools. - Foreword.

Author : John F. Berglund
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.71/5 ( download)

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Download or read book Analysis on Semigroups written by John F. Berglund and published by Wiley-Interscience. This book was released on 1989-05-03 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This treatment of analysis on semigroups stresses the functional analytical and dynamical theory of continuous representations of semitopological semigroups. Topics covered include compact semitopological semigroups, invariant means and idempotent means on compact semitopological semigroups, affine compactifications, left multiplicatively continuous functions and weakly left continuous functions, compactifications of infinite direct products, and weakly almost periodic semigroups of Markov operators. Contains over 200 exercises, from simple applications and examples to further developments of the theory.

Author : Edmond W. H. Lee
Publisher : Springer Nature
ISBN 13 : 3031164970
Total Pages : 286 pages
Book Rating : 4.72/5 ( download)

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Download or read book Advances in the Theory of Varieties of Semigroups written by Edmond W. H. Lee and published by Springer Nature. This book was released on 2023-05-10 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph thoroughly explores the development of the theory of varieties of semigroups and of two related algebras: involution semigroups and monoids. Through this in-depth analysis, readers will attain a deeper understanding of the differences between these three types of varieties, which may otherwise seem counterintuitive. New results with detailed proofs are also presented that answer previously unsolved fundamental problems. Featuring both a comprehensive overview as well as highlighting the author’s own significant contributions to the area, this book will help establish this subfield as a matter of timely interest. Advances in the Theory of Varieties of Semigroups will appeal to researchers in universal algebra and will be particularly valuable for specialists in semigroups.

Author : David Applebaum
Publisher : Cambridge University Press
ISBN 13 : 1108623522
Total Pages : 235 pages
Book Rating : 4.20/5 ( download)

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Download or read book Semigroups of Linear Operators written by David Applebaum and published by Cambridge University Press. This book was released on 2019-08-15 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of semigroups of operators is one of the most important themes in modern analysis. Not only does it have great intellectual beauty, but also wide-ranging applications. In this book the author first presents the essential elements of the theory, introducing the notions of semigroup, generator and resolvent, and establishes the key theorems of Hille–Yosida and Lumer–Phillips that give conditions for a linear operator to generate a semigroup. He then presents a mixture of applications and further developments of the theory. This includes a description of how semigroups are used to solve parabolic partial differential equations, applications to Levy and Feller–Markov processes, Koopmanism in relation to dynamical systems, quantum dynamical semigroups, and applications to generalisations of the Riemann–Liouville fractional integral. Along the way the reader encounters several important ideas in modern analysis including Sobolev spaces, pseudo-differential operators and the Nash inequality.