Semigroups And Applications

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Theory of Semigroups and Applications

Author : Kalyan B. Sinha
Publisher : Springer
ISBN 13 : 9811048649
Total Pages : 176 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Theory of Semigroups and Applications by : Kalyan B. Sinha

Download or read book Theory of Semigroups and Applications written by Kalyan B. Sinha and published by Springer. This book was released on 2017-07-12 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Semigroups of Linear Operators and Applications to Partial Differential Equations

Author : Amnon Pazy
Publisher : Springer Science & Business Media
ISBN 13 : 1461255619
Total Pages : 289 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Semigroups of Linear Operators and Applications to Partial Differential Equations by : Amnon Pazy

Download or read book Semigroups of Linear Operators and Applications to Partial Differential Equations written by Amnon Pazy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Dynamical Semigroups and Applications

Author : Robert Alicki
Publisher : Springer Science & Business Media
ISBN 13 : 354070860X
Total Pages : 138 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Quantum Dynamical Semigroups and Applications by : Robert Alicki

Download or read book Quantum Dynamical Semigroups and Applications written by Robert Alicki and published by Springer Science & Business Media. This book was released on 2007-04-23 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reinvigorated by advances and insights the quantum theory of irreversible processes has recently attracted growing attention. This volume introduces the very basic concepts of semigroup dynamics of open quantum systems and reviews a variety of modern applications. Originally published as Volume 286 (1987) in Lecture in Physics, this volume has been newly typeset, revised and corrected and also expanded to include a review on recent developments.

Semigroups of Linear Operators and Applications

Author : Jerome A. Goldstein
Publisher : Courier Dover Publications
ISBN 13 : 0486822222
Total Pages : 321 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Semigroups of Linear Operators and Applications by : Jerome A. Goldstein

Download or read book Semigroups of Linear Operators and Applications written by Jerome A. Goldstein and published by Courier Dover Publications. This book was released on 2017-05-17 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced graduate-level treatment of semigroup theory explores semigroups of linear operators and linear Cauchy problems. The text features challenging exercises and emphasizes motivation, heuristics, and further applications. 1985 edition.

Semigroups of Linear Operators

Author : David Applebaum
Publisher : Cambridge University Press
ISBN 13 : 1108483097
Total Pages : 235 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Semigroups of Linear Operators by : David Applebaum

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: Provides a graduate-level introduction to the theory of semigroups of operators.

Semigroups And Applications

Author : John M Howie
Publisher : World Scientific
ISBN 13 : 9814545430
Total Pages : 290 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Semigroups And Applications by : John M Howie

Download or read book Semigroups And Applications written by John M Howie and published by World Scientific. This book was released on 1998-12-08 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions from leading experts in the rapidly developing field of semigroup theory. The subject, now some 60 years old, began by imitating group theory and ring theory, but quickly developed an impetus of its own, and the semigroup turned out to be the most useful algebraic object in theoretical computer science.

semigroup theory and applications

Author : Phillipe Clement
Publisher : CRC Press
ISBN 13 : 1000111121
Total Pages : 473 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis semigroup theory and applications by : Phillipe Clement

Download or read book semigroup theory and applications written by Phillipe Clement and published by CRC Press. This book was released on 2020-12-22 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains articles on maximal regulatory problems, interpolation spaces, multiplicative perturbations of generators, linear and nonlinear evolution equations, integrodifferential equations, dual semigroups, positive semigroups, applications to control theory, and boundary value problems.

Classical Finite Transformation Semigroups

Author : Olexandr Ganyushkin
Publisher : Springer Science & Business Media
ISBN 13 : 1848002815
Total Pages : 318 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Classical Finite Transformation Semigroups by : Olexandr Ganyushkin

Download or read book Classical Finite Transformation Semigroups written by Olexandr Ganyushkin and published by Springer Science & Business Media. This book was released on 2008-12-10 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, cross-sections and variants. The book contains many exercises and historical comments and is directed first of all to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but also to tutors and researchers.

Co-Semigroups and Applications

Author : Ioan I. Vrabie
Publisher : Elsevier
ISBN 13 : 0080530044
Total Pages : 386 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Co-Semigroups and Applications by : Ioan I. Vrabie

Download or read book Co-Semigroups and Applications written by Ioan I. Vrabie and published by Elsevier. This book was released on 2003-03-21 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 they are very new. So, the book, although containing the main parts of the classical theory of Co-semigroups, as the Hille-Yosida theory, includes also several very new results, as for instance those referring to various classes of semigroups such as equicontinuous, compact, differentiable, or analytic, as well as to some nonstandard types of partial differential equations, i.e. elliptic and parabolic systems with dynamic boundary conditions, and linear or semilinear differential equations with distributed (time, spatial) measures. Moreover, some finite-dimensional-like methods for certain semilinear pseudo-parabolic, or hyperbolic equations are also disscussed. Among the most interesting applications covered are not only the standard ones concerning the Laplace equation subject to either Dirichlet, or Neumann boundary conditions, or the Wave, or Klein-Gordon equations, but also those referring to the Maxwell equations, the equations of Linear Thermoelasticity, the equations of Linear Viscoelasticity, to list only a few. Moreover, each chapter contains a set of various problems, all of them completely solved and explained in a special section at the end of the book.The book is primarily addressed to graduate students and researchers in the field, but it would be of interest for both physicists and engineers. It should be emphasised that it is almost self-contained, requiring only a basic course in Functional Analysis and Partial Differential Equations.

Perturbations of Positive Semigroups with Applications

Author : Jacek Banasiak
Publisher : Springer Science & Business Media
ISBN 13 : 9781852339937
Total Pages : 464 pages
Book Rating : 4.3/5 (399 download)

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Book Synopsis Perturbations of Positive Semigroups with Applications by : Jacek Banasiak

Download or read book Perturbations of Positive Semigroups with Applications written by Jacek Banasiak and published by Springer Science & Business Media. This book was released on 2005-12-16 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals mainly with modelling systems that change with time. The evolution equations that it describes can be found in a number of application areas, such as kinetics, fragmentation theory and mathematical biology. This will be the first self-contained account of the area.

Fuzzy Semigroups

Author : John N. Mordeson
Publisher : Springer
ISBN 13 : 3540371257
Total Pages : 324 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Fuzzy Semigroups by : John N. Mordeson

Download or read book Fuzzy Semigroups written by John N. Mordeson and published by Springer. This book was released on 2012-11-03 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lotfi Zadeh introduced the notion of a fuzzy subset of a set in 1965. Ris seminal paper has opened up new insights and applications in a wide range of scientific fields. Azriel Rosenfeld used the notion of a fuzzy subset to put forth cornerstone papers in several areas of mathematics, among other discplines. Rosenfeld is the father of fuzzy abstract algebra. Kuroki is re sponsible for much of fuzzy ideal theory of semigroups. Others who worked on fuzzy semigroup theory, such as Xie, are mentioned in the bibliogra phy. The purpose of this book is to present an up to date account of fuzzy subsemigroups and fuzzy ideals of a semigroup. We concentrate mainly on theoretical aspects, but we do include applications. The applications are in the areas of fuzzy coding theory, fuzzy finite state machines, and fuzzy languages. An extensive account of fuzzy automata and fuzzy languages is given in [100]. Consequently, we only consider results in these areas that have not appeared in [100] and that pertain to semigroups. In Chapter 1, we review some basic results on fuzzy subsets, semigroups, codes, finite state machines, and languages. The purpose of this chapter is to present basic results that are needed in the remainder of the book. In Chapter 2, we introduce certain fuzzy ideals of a semigroup, namely, fuzzy two-sided ideals, fuzzy bi-ideals, fuzzy interior ideals, fuzzy quasi ideals, and fuzzy generalized bi-ideals.

Semigroup Theory and Its Applications

Author : Alfred Hoblitzelle Clifford
Publisher : Cambridge University Press
ISBN 13 : 9780521576697
Total Pages : 180 pages
Book Rating : 4.5/5 (766 download)

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Book Synopsis Semigroup Theory and Its Applications by : Alfred Hoblitzelle Clifford

Download or read book Semigroup Theory and Its Applications written by Alfred Hoblitzelle Clifford and published by Cambridge University Press. This book was released on 1996-05-16 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains survey papers by the invited speakers at the Conference on Semigroup Theory and Its Applications which took place at Tulane University in April, 1994. The authors represent the leading areas of research in semigroup theory and its applications, both to other areas of mathematics and to areas outside mathematics. Included are papers by Gordon Preston surveying Clifford's work on Clifford semigroups and by John Rhodes tracing the influence of Clifford's work on current semigroup theory. Notable among the areas of application are the paper by Jean-Eric Pin on applications of other areas of mathematics to semigroup theory and the paper by the editors on an application of semigroup theory to theoretical computer science and mathematical logic. All workers in semigroup theory will find this volume invaluable.

Nonlinear Evolution Operators and Semigroups

Author : Nicolae H. Pavel
Publisher :
ISBN 13 : 9783662199435
Total Pages : 296 pages
Book Rating : 4.1/5 (994 download)

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Book Synopsis Nonlinear Evolution Operators and Semigroups by : Nicolae H. Pavel

Download or read book Nonlinear Evolution Operators and Semigroups written by Nicolae H. Pavel and published by . This book was released on 2014-01-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Analysis and Semi-groups

Author : Einar Hille
Publisher : American Mathematical Soc.
ISBN 13 : 0821810316
Total Pages : 826 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Functional Analysis and Semi-groups by : Einar Hille

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 826 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.

The q-theory of Finite Semigroups

Author : John Rhodes
Publisher : Springer Science & Business Media
ISBN 13 : 0387097813
Total Pages : 674 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis The q-theory of Finite Semigroups by : John Rhodes

Download or read book The q-theory of Finite Semigroups written by John Rhodes and published by Springer Science & Business Media. This book was released on 2009-04-05 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive, encyclopedic text in four parts aims to give the reader — from the graduate student to the researcher/practitioner — a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research. The q-theory of Finite Semigroups presents important techniques and results, many for the first time in book form, thereby updating and modernizing the semigroup theory literature.

Numerical Semigroups

Author : Valentina Barucci
Publisher : Springer Nature
ISBN 13 : 3030408221
Total Pages : 373 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Numerical Semigroups by : Valentina Barucci

Download or read book Numerical Semigroups written by Valentina Barucci and published by Springer Nature. This book was released on 2020-05-13 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state of the art on numerical semigroups and related subjects, offering different perspectives on research in the field and including results and examples that are very difficult to find in a structured exposition elsewhere. The contents comprise the proceedings of the 2018 INdAM “International Meeting on Numerical Semigroups”, held in Cortona, Italy. Talks at the meeting centered not only on traditional types of numerical semigroups, such as Arf or symmetric, and their usual properties, but also on related types of semigroups, such as affine, Puiseux, Weierstrass, and primary, and their applications in other branches of algebra, including semigroup rings, coding theory, star operations, and Hilbert functions. The papers in the book reflect the variety of the talks and derive from research areas including Semigroup Theory, Factorization Theory, Algebraic Geometry, Combinatorics, Commutative Algebra, Coding Theory, and Number Theory. The book is intended for researchers and students who want to learn about recent developments in the theory of numerical semigroups and its connections with other research fields.

Semigroups Of Matrices

Author : Jan Okninski
Publisher : World Scientific
ISBN 13 : 981449626X
Total Pages : 327 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Semigroups Of Matrices by : Jan Okninski

Download or read book Semigroups Of Matrices written by Jan Okninski and published by World Scientific. This book was released on 1998-07-31 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the structure of linear semigroups, that is, subsemigroups of the multiplicative semigroup Mn(K) of n × n matrices over a field K (or, more generally, skew linear semigroups — if K is allowed to be a division ring) and its applications to certain problems on associative algebras, semigroups and linear representations. It is motivated by several recent developments in the area of linear semigroups and their applications. It summarizes the state of knowledge in this area, presenting the results for the first time in a unified form. The book's point of departure is a structure theorem, which allows the use of powerful techniques of linear groups. Certain aspects of a combinatorial nature, connections with the theory of linear representations and applications to various problems on associative algebras are also discussed.