Semigroups And Applications

Author : Kalyan B. Sinha,Sachi Srivastava
Publisher : Springer
Page : 169 pages
File Size : 46,7 Mb
Release : 2017-07-12
Category : Mathematics
ISBN : 9789811048647

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Theory of Semigroups and Applications by Kalyan B. Sinha,Sachi Srivastava Pdf

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.

Author : Abdallah Assi,Pedro A. García-Sánchez
Publisher : Springer
Page : 106 pages
File Size : 52,5 Mb
Release : 2016-08-25
Category : Mathematics
ISBN : 9783319413303

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Numerical Semigroups and Applications by Abdallah Assi,Pedro A. García-Sánchez Pdf

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 : Amnon Pazy
Publisher : Springer Science & Business Media
Page : 289 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461255611

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Semigroups of Linear Operators and Applications to Partial Differential Equations by Amnon Pazy Pdf

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.

Author : Robert Alicki,K. Lendi
Publisher : Springer Science & Business Media
Page : 138 pages
File Size : 50,7 Mb
Release : 2007-04-23
Category : Science
ISBN : 9783540708605

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Quantum Dynamical Semigroups and Applications by Robert Alicki,K. Lendi Pdf

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.

Author : Jacek Banasiak,Luisa Arlotti
Publisher : Springer Science & Business Media
Page : 443 pages
File Size : 48,9 Mb
Release : 2006-02-02
Category : Mathematics
ISBN : 9781846281532

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Perturbations of Positive Semigroups with Applications by Jacek Banasiak,Luisa Arlotti Pdf

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.

Author : John M Howie,Nik Ruskuc
Publisher : World Scientific
Page : 290 pages
File Size : 53,8 Mb
Release : 1998-12-08
Category : Electronic
ISBN : 9789814545433

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Semigroups And Applications by John M Howie,Nik Ruskuc Pdf

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.

Author : Jerome A. Goldstein
Publisher : Courier Dover Publications
Page : 320 pages
File Size : 49,9 Mb
Release : 2017-05-17
Category : Mathematics
ISBN : 9780486822228

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Semigroups of Linear Operators and Applications by Jerome A. Goldstein Pdf

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.

Author : Ioan I. Vrabie
Publisher : Elsevier
Page : 386 pages
File Size : 41,9 Mb
Release : 2003-03-21
Category : Mathematics
ISBN : 9780080530048

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Co-Semigroups and Applications by Ioan I. Vrabie Pdf

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.

Author : Nicolae H. Pavel
Publisher : Springer
Page : 292 pages
File Size : 53,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540471868

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Nonlinear Evolution Operators and Semigroups by Nicolae H. Pavel Pdf

This research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE's can be studied via the semigroup approach. This theory is not available otherwise in the self-contained form provided by these Notes and moreover a considerable part of the results, proofs and methods are not to be found in other books. The exponential formula of Crandall and Liggett, some simple estimates due to Kobayashi and others, the characterization of compact semigroups due to Brézis, the proof of a fundamental property due to Ursescu and the author and some applications to PDE are of particular interest. Assuming only basic knowledge of functional analysis, the book will be of interest to researchers and graduate students in nonlinear analysis and PDE, and to mathematical physicists.

Author : Phillipe Clement
Publisher : CRC Press
Page : 476 pages
File Size : 53,7 Mb
Release : 2020-12-22
Category : Mathematics
ISBN : 9781000154214

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semigroup theory and applications by Phillipe Clement Pdf

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.

Author : Olexandr Ganyushkin,Volodymyr Mazorchuk
Publisher : Springer Science & Business Media
Page : 318 pages
File Size : 53,8 Mb
Release : 2008-12-10
Category : Mathematics
ISBN : 9781848002814

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Classical Finite Transformation Semigroups by Olexandr Ganyushkin,Volodymyr Mazorchuk Pdf

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.

Author : Joachim Hilgert,Karl-Hermann Neeb
Publisher : Unknown
Page : 328 pages
File Size : 55,8 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3662204355

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Lie Semigroups and Their Applications by Joachim Hilgert,Karl-Hermann Neeb Pdf

Author : Klaus-Jochen Engel,Rainer Nagel
Publisher : Springer Science & Business Media
Page : 609 pages
File Size : 53,5 Mb
Release : 2006-04-06
Category : Mathematics
ISBN : 9780387226422

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One-Parameter Semigroups for Linear Evolution Equations by Klaus-Jochen Engel,Rainer Nagel Pdf

This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.

Author : Klaus-Jochen Engel,Rainer Nagel
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 50,9 Mb
Release : 2006-06-06
Category : Mathematics
ISBN : 9780387313412

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A Short Course on Operator Semigroups by Klaus-Jochen Engel,Rainer Nagel Pdf

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.

Author : Alfred Hoblitzelle Clifford,G. B. Preston
Publisher : American Mathematical Soc.
Page : 370 pages
File Size : 50,5 Mb
Release : 1961
Category : Group theory
ISBN : 9780821802724

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The Algebraic Theory of Semigroups, Volume II by Alfred Hoblitzelle Clifford,G. B. Preston Pdf