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Theory of semigroups and applications

Sinha, Kalyan B.

Theory of semigroups and applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Theory of semigroups and applicationsby Kalyan B. Sinha, Sachi Srivastava.
作者:	Sinha, Kalyan B.
其他作者:	Srivastava, Sachi.
出版者:	Singapore :Springer Singapore :2017.
面頁冊數:	xii, 169 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Semigroups.
電子資源:	http://dx.doi.org/10.1007/978-981-10-4864-7
ISBN:	9789811048647$q(electronic bk.)

Theory of semigroups and applications
Sinha, Kalyan B.

Theory of semigroups and applications[electronic resource] /by Kalyan B. Sinha, Sachi Srivastava. - Singapore :Springer Singapore :2017. - xii, 169 p. :ill., digital ;24 cm. - Texts and readings in mathematics,742366-8717 ;. - Texts and readings in mathematics ;74..

Chapter 1. Vector-valued functions -- Chapter 2. C0-semigroups -- Chapter 3. Dissipative operators and holomorphic semigroups -- Chapter 4. Perturbation and convergence of semigroups -- Chapter 5. Chernoff's Theorem and its applications -- Chapter 6. Markov semigroups -- Chapter 7. Applications to partial differential equations -- Appendix A1. Unbounded operators -- Appendix A2. Fourier transforms -- Appendix A3. Sobolev spaces.

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.

ISBN: 9789811048647$q(electronic bk.)

Standard No.: 10.1007/978-981-10-4864-7doiSubjects--Topical Terms:

239334
Semigroups.

LC Class. No.: QA182

Dewey Class. No.: 512.27

Theory of semigroups and applications
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505 0 $a Chapter 1. Vector-valued functions -- Chapter 2. C0-semigroups -- Chapter 3. Dissipative operators and holomorphic semigroups -- Chapter 4. Perturbation and convergence of semigroups -- Chapter 5. Chernoff's Theorem and its applications -- Chapter 6. Markov semigroups -- Chapter 7. Applications to partial differential equations -- Appendix A1. Unbounded operators -- Appendix A2. Fourier transforms -- Appendix A3. Sobolev spaces.
520 $a 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.
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